diff --git a/changelog b/changelog index eb82760..d33c1b5 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20100608 tpd src/axiom-website/patches.html 20100608.03.tpd.patch +20100608 tpd src/input/Makefile rule-based trig integration +20100608 tpd src/input/richtrig000-099.input rule-based trig integration 20100608 tpd src/axiom-website/patches.html 20100608.02.tpd.patch 20100608 tpd books/bookvolbib add Lecerf[Le96], Dewar[Dew94], Brunelli[Bru09] 20100608 tpd src/axiom-website/patches.html 20100608.01.tpd.patch diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index b1e05c8..81b09a9 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2862,6 +2862,8 @@ src/input/richalgebraic400-461.input rule-based algebraic integration.
src/input/richexponential.input rule-based exponential integration
20100608.02.tpd.patch books/bookvolbib add Lecerf[Le96], Dewar[Dew94], Brunelli[Bru09]
+20100608.03.tpd.patch +src/input/richtrig000-099.input rule-based trig integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index 413abe5..5b11f0d 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -375,7 +375,9 @@ REGRES= ackermann.regress \ richalgebraic300-399.regress \ richalgebraic400-461.regress \ richexponential.regress \ - richrational.regress robidoux.regress \ + richrational.regress \ + richtrig000-099.regress \ + robidoux.regress \ roman.regress roots.regress ruleset.regress rules.regress \ rubey.regress sae.regress spline.regress \ schaum1.regress schaum2.regress schaum3.regress schaum4.regress \ @@ -694,6 +696,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richalgebraic400-461.input \ ${OUT}/richexponential.input \ ${OUT}/richrational.input \ + ${OUT}/richtrig000-099.input \ ${OUT}/robidoux.input ${OUT}/roman.input ${OUT}/roots.input \ ${OUT}/ruleset.input ${OUT}/rules.input ${OUT}/rubey.input \ ${OUT}/sae.input \ @@ -1042,6 +1045,7 @@ DOCFILES= \ ${DOC}/richalgebraic400-461.input.dvi \ ${DOC}/richexponential.input.dvi \ ${DOC}/richrational.input.dvi \ + ${DOC}/richtrig000-099.input.dvi \ ${DOC}/rk4draw.input.dvi \ ${DOC}/robidoux.input.dvi ${DOC}/roman.input.dvi \ ${DOC}/romnum.as.dvi ${DOC}/roots.input.dvi \ diff --git a/src/input/richtrig000-099.input.pamphlet b/src/input/richtrig000-099.input.pamphlet new file mode 100644 index 0000000..ac8505d --- /dev/null +++ b/src/input/richtrig000-099.input.pamphlet @@ -0,0 +1,48106 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richtrig000-099.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richtrig000-099.output +)spool richtrig000-099.output +)set message auto off +)clear all + +--S 1 of 520 +t0000:= sin(a+b*x)^(1/2) +--R +--R +--R +------------+ +--R (1) \|sin(b x + a) +--R Type: Expression Integer +--E 1 + +--S 2 of 520 +r0000:= 2*EllipticE(1/2*a-1/4*%pi+1/2*b*x,2)/b +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 2 + +--S 3 of 520 +a0000:= integrate(t0000,x) +--R +--R +--R x +--R ++ +-------------+ +--R (2) | \|sin(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 520 +--m0000:= a0000-r0000 +--E 4 + +--S 5 of 520 +--d0000:= D(m0000,x) +--E 5 + +--S 6 of 520 +t0001:= sin(a+b*x)^(3/2) +--R +--R +--R +------------+ +--R (3) sin(b x + a)\|sin(b x + a) +--R Type: Expression Integer +--E 6 + +--S 7 of 520 +r0001:= -2/3*(-EllipticF(1/2*a-1/4*%pi+1/2*b*x,2)+cos(a+b*x)*sin(a+b*x)^(1/2))/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 7 + +--S 8 of 520 +a0001:= integrate(t0001,x) +--R +--R +--R x +--R ++ +-------------+ +--R (4) | sin(%R b + a)\|sin(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 8 + +--S 9 of 520 +--m0001:= a0001-r0001 +--E 9 + +--S 10 of 520 +--d0001:= D(m0001,x) +--E 10 + +--S 11 of 520 +t0002:= sin(a+b*x)^(5/2) +--R +--R +--R 2 +------------+ +--R (5) sin(b x + a) \|sin(b x + a) +--R Type: Expression Integer +--E 11 + +--S 12 of 520 +r0002:= -2/5*(-3*EllipticE(1/2*a-1/4*%pi+1/2*b*x,2)+cos(a+b*x)*sin(a+b*x)^(3/2))/b +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 12 + +--S 13 of 520 +a0002:= integrate(t0002,x) +--R +--R +--R x +--R ++ 2 +-------------+ +--R (6) | sin(%R b + a) \|sin(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 520 +--m0002:= a0002-r0002 +--E 14 + +--S 15 of 520 +--d0002:= D(m0002,x) +--E 15 + +--S 16 of 520 +t0003:= 1/sin(a+b*x)^(1/2) +--R +--R +--R 1 +--R (7) --------------- +--R +------------+ +--R \|sin(b x + a) +--R Type: Expression Integer +--E 16 + +--S 17 of 520 +r0003:= 2*EllipticF(1/2*a-1/4*%pi+1/2*b*x,2)/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 17 + +--S 18 of 520 +a0003:= integrate(t0003,x) +--R +--R +--R x +--R ++ 1 +--R (8) | ---------------- d%R +--R ++ +-------------+ +--R \|sin(%R b + a) +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 520 +--m0003:= a0003-r0003 +--E 19 + +--S 20 of 520 +--d0003:= D(m0003,x) +--E 20 + +--S 21 of 520 +t0004:= 1/sin(a+b*x)^(3/2) +--R +--R +--R 1 +--R (9) --------------------------- +--R +------------+ +--R sin(b x + a)\|sin(b x + a) +--R Type: Expression Integer +--E 21 + +--S 22 of 520 +r0004:= -2*EllipticE(1/2*a-1/4*%pi+1/2*b*x,2)/b-2*cos(a+b*x)/b/sin(a+b*x)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 22 + +--S 23 of 520 +a0004:= integrate(t0004,x) +--R +--R +--R x +--R ++ 1 +--R (10) | ----------------------------- d%R +--R ++ +-------------+ +--R sin(%R b + a)\|sin(%R b + a) +--R Type: Union(Expression Integer,...) +--E 23 + +--S 24 of 520 +--m0004:= a0004-r0004 +--E 24 + +--S 25 of 520 +--d0004:= D(m0004,x) +--E 25 + +--S 26 of 520 +t0005:= 1/sin(a+b*x)^(5/2) +--R +--R +--R 1 +--R (11) ---------------------------- +--R 2 +------------+ +--R sin(b x + a) \|sin(b x + a) +--R Type: Expression Integer +--E 26 + +--S 27 of 520 +r0005:= 2/3*EllipticF(1/2*a-1/4*%pi+1/2*b*x,2)/b-2/3*cos(a+b*x)/b/sin(a+b*x)^(3/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 27 + +--S 28 of 520 +a0005:= integrate(t0005,x) +--R +--R +--R x +--R ++ 1 +--R (12) | ------------------------------ d%R +--R ++ 2 +-------------+ +--R sin(%R b + a) \|sin(%R b + a) +--R Type: Union(Expression Integer,...) +--E 28 + +--S 29 of 520 +--m0005:= a0005-r0005 +--E 29 + +--S 30 of 520 +--d0005:= D(m0005,x) +--E 30 + +--S 31 of 520 +t0006:= (a*sin(x))^(1/2) +--R +--R +--R +--------+ +--R (13) \|a sin(x) +--R Type: Expression Integer +--E 31 + +--S 32 of 520 +r0006:= 2*EllipticE(-1/4*%pi+1/2*x,2)*(a*sin(x))^(1/2)/sin(x)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 32 + +--S 33 of 520 +a0006:= integrate(t0006,x) +--R +--R +--R x +--R ++ +---------+ +--R (14) | \|a sin(%R) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 33 + +--S 34 of 520 +--m0006:= a0006-r0006 +--E 34 + +--S 35 of 520 +--d0006:= D(m0006,x) +--E 35 + +--S 36 of 520 +t0007:= (a*sin(x)^3)^(1/2) +--R +--R +--R +---------+ +--R | 3 +--R (15) \|a sin(x) +--R Type: Expression Integer +--E 36 + +--S 37 of 520 +r0007:= 2/3*(EllipticF(-1/4*%pi+1/2*x,2)-cos(x)*sin(x)^(1/2))*(a*sin(x)^3)^(1/2)/sin(x)^(3/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 37 + +--S 38 of 520 +a0007:= integrate(t0007,x) +--R +--R +--R x +----------+ +--R ++ | 3 +--R (16) | \|a sin(%R) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 38 + +--S 39 of 520 +--m0007:= a0007-r0007 +--E 39 + +--S 40 of 520 +--d0007:= D(m0007,x) +--E 40 + +--S 41 of 520 +t0008:= (a*sin(x))^(3/2) +--R +--R +--R +--------+ +--R (17) a sin(x)\|a sin(x) +--R Type: Expression Integer +--E 41 + +--S 42 of 520 +r0008:= 2/3*a^2*(EllipticF(-1/4*%pi+1/2*x,2)*sin(x)^(1/2)-cos(x)*sin(x))/(a*sin(x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 42 + +--S 43 of 520 +a0008:= integrate(t0008,x) +--R +--R +--R x +--R ++ +---------+ +--R (18) | a sin(%R)\|a sin(%R) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 43 + +--S 44 of 520 +--m0008:= a0008-r0008 +--E 44 + +--S 45 of 520 +--d0008:= D(m0008,x) +--E 45 + +--S 46 of 520 +t0009:= (a*sin(x)^3)^(3/2) +--R +--R +--R +---------+ +--R 3 | 3 +--R (19) a sin(x) \|a sin(x) +--R Type: Expression Integer +--E 46 + +--S 47 of 520 +r0009:= 2/45*a*(a*sin(x)^3)^(1/2)*(21*EllipticE(-1/4*%pi+1/2*x,2)-7*cos(x)*sin(x)^(3/2)-5*cos(x)*sin(x)^(7/2))/sin(x)^(3/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 47 + +--S 48 of 520 +a0009:= integrate(t0009,x) +--R +--R +--R x +----------+ +--R ++ 3 | 3 +--R (20) | a sin(%R) \|a sin(%R) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 48 + +--S 49 of 520 +--m0009:= a0009-r0009 +--E 49 + +--S 50 of 520 +--d0009:= D(m0009,x) +--E 50 + +--S 51 of 520 +t0010:= 1/(a*sin(x))^(1/2) +--R +--R +--R 1 +--R (21) ----------- +--R +--------+ +--R \|a sin(x) +--R Type: Expression Integer +--E 51 + +--S 52 of 520 +r0010:= 2*EllipticF(-1/4*%pi+1/2*x,2)*sin(x)^(1/2)/(a*sin(x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 52 + +--S 53 of 520 +a0010:= integrate(t0010,x) +--R +--R +--R x +--R ++ 1 +--R (22) | ------------ d%R +--R ++ +---------+ +--R \|a sin(%R) +--R Type: Union(Expression Integer,...) +--E 53 + +--S 54 of 520 +--m0010:= a0010-r0010 +--E 54 + +--S 55 of 520 +--d0010:= D(m0010,x) +--E 55 + +--S 56 of 520 +t0011:= 1/(a*sin(x)^2)^(1/2) +--R +--R +--R 1 +--R (23) ------------ +--R +---------+ +--R | 2 +--R \|a sin(x) +--R Type: Expression Integer +--E 56 + +--S 57 of 520 +r0011:= -atanh(cos(x))*sin(x)/(a*sin(x)^2)^(1/2) +--R +--R +--R sin(x)atanh(cos(x)) +--R (24) - ------------------- +--R +---------+ +--R | 2 +--R \|a sin(x) +--R Type: Expression Integer +--E 57 + +--S 58 of 520 +a0011:= integrate(t0011,x) +--R +--R +--R sin(x) +--R log(----------) +--R cos(x) + 1 +--R (25) --------------- +--R +-+ +--R \|a +--R Type: Union(Expression Integer,...) +--E 58 + +--S 59 of 520 +m0011:= a0011-r0011 +--R +--R +--R +---------+ +--R sin(x) | 2 +-+ +--R log(----------)\|a sin(x) + sin(x)\|a atanh(cos(x)) +--R cos(x) + 1 +--R (26) ----------------------------------------------------- +--R +---------+ +--R +-+ | 2 +--R \|a \|a sin(x) +--R Type: Expression Integer +--E 59 + +--S 60 of 520 +d0011:= D(m0011,x) +--R +--R +--R +---------+ +--R 2 3 +-+ | 2 3 +--R ((cos(x) - 1)sin(x) + cos(x) - cos(x))\|a \|a sin(x) + a sin(x) +--R (27) -------------------------------------------------------------------- +--R +---------+ +--R 2 | 2 +--R (a cos(x) - a)sin(x)\|a sin(x) +--R Type: Expression Integer +--E 60 + +--S 61 of 520 +t0012:= 1/(a*sin(x)^3)^(1/2) +--R +--R +--R 1 +--R (28) ------------ +--R +---------+ +--R | 3 +--R \|a sin(x) +--R Type: Expression Integer +--E 61 + +--S 62 of 520 +r0012:= -2*(cos(x)+EllipticE(-1/4*%pi+1/2*x,2)*sin(x)^(1/2))*sin(x)/(a*sin(x)^3)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 62 + +--S 63 of 520 +a0012:= integrate(t0012,x) +--R +--R +--R x +--R ++ 1 +--R (29) | ------------- d%R +--R ++ +----------+ +--R | 3 +--R \|a sin(%R) +--R Type: Union(Expression Integer,...) +--E 63 + +--S 64 of 520 +--m0012:= a0012-r0012 +--E 64 + +--S 65 of 520 +--d0012:= D(m0012,x) +--E 65 + +--S 66 of 520 +t0013:= 1/(a+b*sin(c+d*x))^2 +--R +--R +--R 1 +--R (30) ---------------------------------------- +--R 2 2 2 +--R b sin(d x + c) + 2a b sin(d x + c) + a +--R Type: Expression Integer +--E 66 + +--S 67 of 520 +r0013:= 2*a*atan((b+a*tan(1/2*c+1/2*d*x))/(a^2-b^2)^(1/2))/(a^2-b^2)^(3/2)/d+b*cos(c+d*x)/(a^2-b^2)/d/(a+b*sin(c+d*x)) +--R +--R +--R (31) +--R d x + c +--R a tan(-------) + b +--R 2 2 +--R (- 2a b sin(d x + c) - 2a )atan(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R | 2 2 +--R - b cos(d x + c)\|- b + a +--R / +--R +---------+ +--R 3 2 2 3 | 2 2 +--R ((b - a b)d sin(d x + c) + (a b - a )d)\|- b + a +--R Type: Expression Integer +--E 67 + +--S 68 of 520 +a0013:= integrate(t0013,x) +--R +--R +--R (32) +--R [ +--R 2 3 +--R (a b sin(d x + c) + a ) +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (b - a )cos(d x + c) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (a b - a )sin(d x + c) + (b - a b)cos(d x + c) + b - a b +--R / +--R b sin(d x + c) + a +--R + +--R +-------+ +--R 2 | 2 2 +--R (- b sin(d x + c) - a b cos(d x + c) - a b)\|b - a +--R / +--R +-------+ +--R 3 3 2 2 4 | 2 2 +--R ((a b - a b)d sin(d x + c) + (a b - a )d)\|b - a +--R , +--R +--R 2 3 +--R (2a b sin(d x + c) + 2a ) +--R * +--R +---------+ +--R | 2 2 +--R (a sin(d x + c) + b cos(d x + c) + b)\|- b + a +--R atan(-------------------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R + +--R +---------+ +--R 2 | 2 2 +--R (- b sin(d x + c) - a b cos(d x + c) - a b)\|- b + a +--R / +--R +---------+ +--R 3 3 2 2 4 | 2 2 +--R ((a b - a b)d sin(d x + c) + (a b - a )d)\|- b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 68 + +--S 69 of 520 +m0013a:= a0013.1-r0013 +--R +--R +--R (33) +--R +---------+ +--R 2 | 2 2 +--R a \|- b + a +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (b - a )cos(d x + c) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (a b - a )sin(d x + c) + (b - a b)cos(d x + c) + b - a b +--R / +--R b sin(d x + c) + a +--R + +--R d x + c +--R +-------+ a tan(-------) + b +---------+ +-------+ +--R 2 | 2 2 2 | 2 2 | 2 2 +--R 2a \|b - a atan(------------------) - b\|- b + a \|b - a +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +-------+ +--R 2 3 | 2 2 | 2 2 +--R (a b - a )d\|- b + a \|b - a +--R Type: Expression Integer +--E 69 + +--S 70 of 520 +d0013a:= D(m0013a,x) +--R +--R +--R (34) +--R 3 3 3 2 2 2 +--R ((a b - a b)cos(d x + c) + a b )sin(d x + c) - a b cos(d x + c) +--R + +--R 2 2 +--R a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 2 2 2 3 2 +--R - 2a b sin(d x + c) - 2a b sin(d x + c) - 2a b cos(d x + c) +--R + +--R 3 3 +--R (- 2a b + 2a b)cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 3 3 3 2 2 2 +--R ((a b - a b)cos(d x + c) + a b )sin(d x + c) - a b cos(d x + c) +--R + +--R 2 2 +--R a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 4 3 2 4 3 2 +--R ((a b - a b )cos(d x + c) + a b - a b )sin(d x + c) +--R + +--R 2 3 4 2 2 3 4 +--R (- a b + a b)cos(d x + c) + a b - a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 4 3 2 2 2 3 4 +--R (- 2a b + 2a b )sin(d x + c) + (- 2a b + 2a b)sin(d x + c) +--R + +--R 4 3 2 2 4 3 2 +--R (- 2a b + 2a b )cos(d x + c) + (- 2a b + 2a b )cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 4 3 2 4 3 2 +--R ((a b - a b )cos(d x + c) + a b - a b )sin(d x + c) +--R + +--R 2 3 4 2 2 3 4 +--R (- a b + a b)cos(d x + c) + a b - a b +--R / +--R 2 4 4 2 2 +--R (a b - a b )sin(d x + c) +--R + +--R 5 3 3 5 5 5 +--R ((a b - 2a b + a b)cos(d x + c) + a b - a b)sin(d x + c) +--R + +--R 2 4 4 2 6 2 4 4 2 +--R (a b - 2a b + a )cos(d x + c) + a b - a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 5 3 3 2 +--R (2a b - 2a b )sin(d x + c) +--R + +--R 6 2 4 4 2 6 4 2 +--R ((2b - 4a b + 2a b )cos(d x + c) + 2b - 2a b )sin(d x + c) +--R + +--R 5 3 3 5 5 3 3 +--R (2a b - 4a b + 2a b)cos(d x + c) + 2a b - 2a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 4 4 2 2 +--R (a b - a b )sin(d x + c) +--R + +--R 5 3 3 5 5 5 +--R ((a b - 2a b + a b)cos(d x + c) + a b - a b)sin(d x + c) +--R + +--R 2 4 4 2 6 2 4 4 2 +--R (a b - 2a b + a )cos(d x + c) + a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 5 4 3 6 2 +--R (a b - 2a b + a b)sin(d x + c) +--R + +--R 6 3 4 5 2 6 3 4 5 2 7 +--R ((a b - 2a b + a b )cos(d x + c) + a b - a b - a b + a ) +--R * +--R sin(d x + c) +--R + +--R 2 5 4 3 6 2 5 4 3 6 +--R (a b - 2a b + a b)cos(d x + c) + a b - 2a b + a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 6 3 4 5 2 2 +--R (2a b - 4a b + 2a b )sin(d x + c) +--R + +--R 7 2 5 4 3 7 2 5 4 3 6 +--R ((2b - 4a b + 2a b )cos(d x + c) + 2b - 2a b - 2a b + 2a b) +--R * +--R sin(d x + c) +--R + +--R 6 3 4 5 2 6 3 4 5 2 +--R (2a b - 4a b + 2a b )cos(d x + c) + 2a b - 4a b + 2a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 5 4 3 6 2 +--R (a b - 2a b + a b)sin(d x + c) +--R + +--R 6 3 4 5 2 6 3 4 5 2 7 +--R ((a b - 2a b + a b )cos(d x + c) + a b - a b - a b + a )sin(d x + c) +--R + +--R 2 5 4 3 6 2 5 4 3 6 +--R (a b - 2a b + a b)cos(d x + c) + a b - 2a b + a b +--R Type: Expression Integer +--E 70 + +--S 71 of 520 +m0013b:= a0013.2-r0013 +--R +--R +--R (35) +--R +---------+ +--R | 2 2 +--R 2 (a sin(d x + c) + b cos(d x + c) + b)\|- b + a +--R 2a atan(-------------------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R + +--R d x + c +--R a tan(-------) + b +---------+ +--R 2 2 | 2 2 +--R 2a atan(------------------) - b\|- b + a +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 2 3 | 2 2 +--R (a b - a )d\|- b + a +--R Type: Expression Integer +--E 71 + +--S 72 of 520 +d0013b:= D(m0013b,x) +--R +--R +--R (36) +--R 2 2 +--R - a sin(d x + c) + (2a b cos(d x + c) + 2a b)sin(d x + c) +--R + +--R 2 2 2 +--R - a cos(d x + c) + a +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 2 +--R (- 4a b sin(d x + c) - 4a b cos(d x + c) - 4a b cos(d x + c)) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 2 +--R - a sin(d x + c) + (2a b cos(d x + c) + 2a b)sin(d x + c) +--R + +--R 2 2 2 +--R - a cos(d x + c) + a +--R / +--R 2 2 4 2 +--R (a b - a )sin(d x + c) +--R + +--R 3 3 3 3 +--R ((2a b - 2a b)cos(d x + c) + 2a b - 2a b)sin(d x + c) +--R + +--R 2 2 4 2 2 2 4 2 2 4 +--R (a b - a )cos(d x + c) + (2a b - 2a )cos(d x + c) + a b - a +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 3 2 +--R (2a b - 2a b)sin(d x + c) +--R + +--R 4 2 2 4 2 2 +--R ((4b - 4a b )cos(d x + c) + 4b - 4a b )sin(d x + c) +--R + +--R 3 3 2 3 3 3 3 +--R (2a b - 2a b)cos(d x + c) + (4a b - 4a b)cos(d x + c) + 2a b - 2a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 2 4 2 +--R (a b - a )sin(d x + c) +--R + +--R 3 3 3 3 +--R ((2a b - 2a b)cos(d x + c) + 2a b - 2a b)sin(d x + c) +--R + +--R 2 2 4 2 2 2 4 2 2 4 +--R (a b - a )cos(d x + c) + (2a b - 2a )cos(d x + c) + a b - a +--R Type: Expression Integer +--E 72 + +--S 73 of 520 +t0014:= 1/(a+b*sin(c+d*x))^3 +--R +--R +--R 1 +--R (37) ------------------------------------------------------------- +--R 3 3 2 2 2 3 +--R b sin(d x + c) + 3a b sin(d x + c) + 3a b sin(d x + c) + a +--R Type: Expression Integer +--E 73 + +--S 74 of 520 +r0014:= (2*a^2+b^2)*atan((b+a*tan(1/2*c+1/2*d*x))/(a^2-b^2)^(1/2))/(a^2-b^2)^(5/2)/d+1/2*b*cos(c+d*x)/(a^2-b^2)/d/(a+b*sin(c+d*x))^2+3/2*a*b*cos(c+d*x)/(a^2-b^2)^2/d/(a+b*sin(c+d*x)) +--R +--R +--R (38) +--R 4 2 2 2 3 3 2 2 4 +--R ((2b + 4a b )sin(d x + c) + (4a b + 8a b)sin(d x + c) + 2a b + 4a ) +--R * +--R d x + c +--R a tan(-------) + b +--R 2 +--R atan(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R 2 3 2 | 2 2 +--R (3a b cos(d x + c)sin(d x + c) + (- b + 4a b)cos(d x + c))\|- b + a +--R / +--R 6 2 4 4 2 2 +--R (2b - 4a b + 2a b )d sin(d x + c) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (4a b - 8a b + 4a b)d sin(d x + c) + (2a b - 4a b + 2a )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 74 + +--S 75 of 520 +a0014:= integrate(t0014,x) +--R +--R +--R (39) +--R [ +--R 3 3 5 2 4 4 2 2 2 4 +--R (2a b + 4a b)sin(d x + c) + (- a b - 2a b )cos(d x + c) + a b +--R + +--R 4 2 6 +--R 3a b + 2a +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (b - a )cos(d x + c) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (- a b + a )sin(d x + c) + (- b + a b)cos(d x + c) - b + a b +--R / +--R b sin(d x + c) + a +--R + +--R 3 2 4 3 2 +--R (3a b cos(d x + c) - 2a b + 8a b )sin(d x + c) +--R + +--R 5 2 3 2 2 3 4 5 +--R (b - 4a b )cos(d x + c) + (- a b + 4a b)cos(d x + c) - b +--R + +--R 2 3 4 +--R 3a b + 4a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 3 5 5 3 7 +--R (4a b - 8a b + 4a b)d sin(d x + c) +--R + +--R 2 6 4 4 6 2 2 +--R (- 2a b + 4a b - 2a b )d cos(d x + c) +--R + +--R 2 6 4 4 6 2 8 +--R (2a b - 2a b - 2a b + 2a )d +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R , +--R +--R 3 3 5 2 4 4 2 2 2 4 +--R (- 4a b - 8a b)sin(d x + c) + (2a b + 4a b )cos(d x + c) - 2a b +--R + +--R 4 2 6 +--R - 6a b - 4a +--R * +--R +---------+ +--R | 2 2 +--R (a sin(d x + c) + b cos(d x + c) + b)\|- b + a +--R atan(-------------------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R + +--R 3 2 4 3 2 +--R (3a b cos(d x + c) - 2a b + 8a b )sin(d x + c) +--R + +--R 5 2 3 2 2 3 4 5 +--R (b - 4a b )cos(d x + c) + (- a b + 4a b)cos(d x + c) - b +--R + +--R 2 3 4 +--R 3a b + 4a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 3 5 5 3 7 +--R (4a b - 8a b + 4a b)d sin(d x + c) +--R + +--R 2 6 4 4 6 2 2 +--R (- 2a b + 4a b - 2a b )d cos(d x + c) +--R + +--R 2 6 4 4 6 2 8 +--R (2a b - 2a b - 2a b + 2a )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 75 + +--S 76 of 520 +m0014a:= a0014.1-r0014 +--R +--R +--R (40) +--R 3 5 5 3 3 +--R (2a b + 4a b )sin(d x + c) +--R + +--R 2 6 4 4 2 2 6 4 4 6 2 2 +--R ((- a b - 2a b )cos(d x + c) + a b + 7a b + 10a b )sin(d x + c) +--R + +--R 3 5 5 3 2 3 5 5 3 7 +--R ((- 2a b - 4a b )cos(d x + c) + 2a b + 8a b + 8a b)sin(d x + c) +--R + +--R 4 4 6 2 2 4 4 6 2 8 +--R (- a b - 2a b )cos(d x + c) + a b + 3a b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (b - a )cos(d x + c) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (- a b + a )sin(d x + c) + (- b + a b)cos(d x + c) - b + a b +--R / +--R b sin(d x + c) + a +--R + +--R 3 5 5 3 3 +--R (- 4a b - 8a b )sin(d x + c) +--R + +--R 2 6 4 4 2 2 6 4 4 6 2 2 +--R ((2a b + 4a b )cos(d x + c) - 2a b - 14a b - 20a b )sin(d x + c) +--R + +--R 3 5 5 3 2 3 5 5 3 7 +--R ((4a b + 8a b )cos(d x + c) - 4a b - 16a b - 16a b)sin(d x + c) +--R + +--R 4 4 6 2 2 4 4 6 2 8 +--R (2a b + 4a b )cos(d x + c) - 2a b - 6a b - 4a +--R * +--R d x + c +--R +-------+ a tan(-------) + b +--R | 2 2 2 +--R \|b - a atan(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 4 6 3 4 3 +--R (3a b cos(d x + c) - 2a b + 8a b )sin(d x + c) +--R + +--R 7 2 5 2 2 5 4 3 7 +--R (b - 4a b )cos(d x + c) + (- a b + 4a b )cos(d x + c) - b +--R + +--R 2 5 4 3 +--R - a b + 20a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 4 3 6 3 4 2 +--R 3a b cos(d x + c) + (2a b - 8a b )cos(d x + c) +--R + +--R 3 4 6 3 4 5 2 +--R - 3a b cos(d x + c) - 2a b + 4a b + 16a b +--R * +--R sin(d x + c) +--R + +--R 2 5 4 3 3 2 5 4 3 2 +--R (- a b + 4a b )cos(d x + c) + (a b - 4a b )cos(d x + c) +--R + +--R 2 5 4 3 2 5 4 3 6 +--R (a b - 4a b )cos(d x + c) - a b + 3a b + 4a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R 3 7 5 5 7 3 3 +--R (4a b - 8a b + 4a b )d sin(d x + c) +--R + +--R 2 8 4 6 6 4 2 +--R (- 2a b + 4a b - 2a b )d cos(d x + c) +--R + +--R 2 8 4 6 6 4 8 2 +--R (2a b + 6a b - 18a b + 10a b )d +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 7 5 5 7 3 2 3 7 7 3 9 +--R ((- 4a b + 8a b - 4a b )d cos(d x + c) + (4a b - 12a b + 8a b)d) +--R * +--R sin(d x + c) +--R + +--R 4 6 6 4 8 2 2 +--R (- 2a b + 4a b - 2a b )d cos(d x + c) +--R + +--R 4 6 6 4 8 2 10 +--R (2a b - 2a b - 2a b + 2a )d +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 76 + +--S 77 of 520 +d0014a:= D(m0014a,x) +--R +--R +--R (41) +--R 4 7 7 +--R - 6a b sin(d x + c) +--R + +--R 3 8 2 3 8 5 6 3 8 +--R - 3a b cos(d x + c) + (- 6a b + 6a b )cos(d x + c) - 7a b +--R + +--R 5 6 +--R - 17a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 2 9 4 7 3 +--R (- 3a b + 3a b )cos(d x + c) +--R + +--R 2 9 4 7 2 +--R (- 2a b - 25a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 2 9 4 7 +--R (- 5a b - 20a b + 25a b )cos(d x + c) - 4a b - 23a b +--R + +--R 6 5 +--R - 15a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 10 3 8 5 6 3 +--R (5a b - 22a b + 17a b )cos(d x + c) +--R + +--R 10 3 8 5 6 2 +--R (5a b - 7a b - 40a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 10 +--R (- 3a b - 15a b - 21a b + 39a b )cos(d x + c) - 3a b +--R + +--R 3 8 5 6 7 4 +--R - 20a b - 33a b - 4a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 11 2 9 4 7 5 +--R (- b - a b + 2a b )cos(d x + c) +--R + +--R 11 2 9 4 7 4 +--R (- b - 7a b - 22a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 3 +--R (2b + 18a b - 48a b + 28a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 2 +--R (2b + 30a b + 14a b - 4a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 11 +--R (- b - 9a b - 9a b - 11a b + 30a b )cos(d x + c) - b +--R + +--R 2 9 4 7 6 5 +--R - 15a b - 35a b - 39a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 10 3 8 6 +--R (a b + 5a b )cos(d x + c) +--R + +--R 10 3 8 5 6 5 +--R (- 3a b - 15a b + 18a b )cos(d x + c) +--R + +--R 10 3 8 5 6 4 +--R (- 6a b - 33a b - 51a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 3 +--R (6a b + 24a b - 42a b + 12a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 +--R (9a b + 53a b + 69a b + 22a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (- 3a b - 5a b + a b - 5a b + 12a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 +--R - 4a b - 21a b - 37a b - 34a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2 9 4 7 7 2 9 4 7 6 +--R (3a b - 3a b )cos(d x + c) + (3a b + 9a b )cos(d x + c) +--R + +--R 4 7 6 5 5 +--R (- 33a b + 33a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 4 +--R (- 2a b - 59a b - 29a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 3 +--R (- a b + 35a b - 34a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 2 +--R (3a b + 63a b + 51a b + 12a b )cos(d x + c) +--R + +--R 2 9 4 7 8 3 10 2 9 4 7 +--R (- 2a b + a b - a b + 2a b)cos(d x + c) - 4a b - 13a b +--R + +--R 6 5 8 3 +--R - 23a b - 14a b +--R * +--R sin(d x + c) +--R + +--R 10 3 8 5 6 7 +--R (- 2a b + 7a b - 5a b )cos(d x + c) +--R + +--R 10 3 8 5 6 6 +--R (- 2a b + 6a b + 2a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 5 +--R (4a b - 10a b - 7a b + 13a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 4 +--R (4a b - 9a b - 21a b - 4a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 3 +--R (- 2a b + 3a b + 12a b - 13a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 2 3 8 +--R (- 2a b + 4a b + 23a b + 9a b + 2a b )cos(d x + c) - a b +--R + +--R 5 6 7 4 9 2 +--R - 4a b - 5a b - 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 8 7 +--R - 12a b sin(d x + c) +--R + +--R 2 9 2 2 9 4 7 +--R - 6a b cos(d x + c) + (- 12a b + 12a b )cos(d x + c) +--R + +--R 2 9 4 7 +--R - 6a b - 18a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 10 3 8 3 +--R (- 6a b + 6a b )cos(d x + c) +--R + +--R 10 3 8 2 +--R (- 12a b - 66a b )cos(d x + c) +--R + +--R 10 3 8 5 6 10 3 8 +--R (- 2a b - 32a b + 34a b )cos(d x + c) + 8a b + 18a b +--R + +--R 5 6 +--R 34a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 11 2 9 4 +--R (2b + 4a b )cos(d x + c) +--R + +--R 11 2 9 4 7 3 +--R (2b - 52a b + 50a b )cos(d x + c) +--R + +--R 11 2 9 4 7 2 +--R (- 2b - 66a b - 136a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 11 2 9 +--R (2b + 10a b - 26a b + 14a b )cos(d x + c) + 4b + 40a b +--R + +--R 4 7 6 5 +--R 104a b + 92a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 10 3 8 4 +--R (- 4a b - 32a b )cos(d x + c) +--R + +--R 10 3 8 5 6 3 +--R (4a b - 116a b + 112a b )cos(d x + c) +--R + +--R 10 3 8 5 6 2 +--R (12a b - 88a b - 80a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 10 +--R (12a b + 56a b - 28a b - 40a b )cos(d x + c) + 8a b +--R + +--R 3 8 5 6 7 4 +--R 84a b + 132a b + 76a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 11 2 9 6 +--R (2b + 10a b )cos(d x + c) +--R + +--R 2 9 4 7 5 +--R (- 24a b + 24a b )cos(d x + c) +--R + +--R 11 2 9 4 7 4 +--R (- 6b - 48a b - 90a b )cos(d x + c) +--R + +--R 4 7 6 5 3 +--R (- 96a b + 96a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 2 +--R (6b + 34a b + 22a b + 4a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 11 +--R (32a b + 64a b - 44a b - 52a b )cos(d x + c) - 2b +--R + +--R 2 9 4 7 6 5 8 3 +--R 12a b + 68a b + 62a b + 28a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 10 3 8 7 +--R (6a b - 6a b )cos(d x + c) +--R + +--R 10 3 8 6 +--R (6a b + 18a b )cos(d x + c) +--R + +--R 10 3 8 5 6 5 +--R (6a b - 60a b + 54a b )cos(d x + c) +--R + +--R 10 3 8 5 6 4 +--R (2a b - 104a b - 54a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 3 +--R (- 14a b + 38a b - 64a b + 40a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 +--R (- 6a b + 78a b + 50a b + 16a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R (2a b + 28a b + 22a b - 28a b - 24a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 +--R - 2a b + 8a b + 16a b + 10a b + 4a b +--R * +--R sin(d x + c) +--R + +--R 11 2 9 4 7 7 +--R (- 4b + 14a b - 10a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 +--R (- 4b + 12a b + 4a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 5 +--R (8b - 18a b - 12a b + 22a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 4 +--R (8b - 16a b - 38a b - 8a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 3 +--R (- 4b + 2a b + 16a b - 22a b + 8a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 2 +--R (- 4b + 4a b + 34a b + 10a b + 4a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 10 +--R (2a b + 6a b + 2a b - 6a b - 4a b)cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 4 7 7 +--R - 6a b sin(d x + c) +--R + +--R 3 8 2 3 8 5 6 3 8 +--R - 3a b cos(d x + c) + (- 6a b + 6a b )cos(d x + c) - 7a b +--R + +--R 5 6 +--R - 17a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 2 9 4 7 3 2 9 4 7 2 +--R (- 3a b + 3a b )cos(d x + c) + (- 2a b - 25a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 2 9 4 7 6 5 +--R (- 5a b - 20a b + 25a b )cos(d x + c) - 4a b - 23a b - 15a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 10 3 8 5 6 3 +--R (5a b - 22a b + 17a b )cos(d x + c) +--R + +--R 10 3 8 5 6 2 +--R (5a b - 7a b - 40a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 10 +--R (- 3a b - 15a b - 21a b + 39a b )cos(d x + c) - 3a b +--R + +--R 3 8 5 6 7 4 +--R - 20a b - 33a b - 4a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 11 2 9 4 7 5 +--R (- b - a b + 2a b )cos(d x + c) +--R + +--R 11 2 9 4 7 4 +--R (- b - 7a b - 22a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 3 +--R (2b + 18a b - 48a b + 28a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 2 +--R (2b + 30a b + 14a b - 4a b )cos(d x + c) +--R + +--R 11 2 9 4 7 6 5 8 3 11 +--R (- b - 9a b - 9a b - 11a b + 30a b )cos(d x + c) - b +--R + +--R 2 9 4 7 6 5 +--R - 15a b - 35a b - 39a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 10 3 8 6 +--R (a b + 5a b )cos(d x + c) +--R + +--R 10 3 8 5 6 5 +--R (- 3a b - 15a b + 18a b )cos(d x + c) +--R + +--R 10 3 8 5 6 4 +--R (- 6a b - 33a b - 51a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 3 +--R (6a b + 24a b - 42a b + 12a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 2 +--R (9a b + 53a b + 69a b + 22a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 10 +--R (- 3a b - 5a b + a b - 5a b + 12a b )cos(d x + c) - 4a b +--R + +--R 3 8 5 6 7 4 +--R - 21a b - 37a b - 34a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2 9 4 7 7 2 9 4 7 6 +--R (3a b - 3a b )cos(d x + c) + (3a b + 9a b )cos(d x + c) +--R + +--R 4 7 6 5 5 +--R (- 33a b + 33a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 4 +--R (- 2a b - 59a b - 29a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 3 +--R (- a b + 35a b - 34a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 8 3 2 +--R (3a b + 63a b + 51a b + 12a b )cos(d x + c) +--R + +--R 2 9 4 7 8 3 10 2 9 4 7 +--R (- 2a b + a b - a b + 2a b)cos(d x + c) - 4a b - 13a b +--R + +--R 6 5 8 3 +--R - 23a b - 14a b +--R * +--R sin(d x + c) +--R + +--R 10 3 8 5 6 7 +--R (- 2a b + 7a b - 5a b )cos(d x + c) +--R + +--R 10 3 8 5 6 6 +--R (- 2a b + 6a b + 2a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 5 +--R (4a b - 10a b - 7a b + 13a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 4 +--R (4a b - 9a b - 21a b - 4a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 3 +--R (- 2a b + 3a b + 12a b - 13a b )cos(d x + c) +--R + +--R 10 3 8 5 6 7 4 9 2 2 3 8 +--R (- 2a b + 4a b + 23a b + 9a b + 2a b )cos(d x + c) - a b +--R + +--R 5 6 7 4 9 2 +--R - 4a b - 5a b - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 4 8 6 6 7 +--R (6a b - 6a b )sin(d x + c) +--R + +--R 3 9 5 7 2 3 9 5 7 +--R (3a b - 3a b )cos(d x + c) + (6a b - 6a b )cos(d x + c) +--R + +--R 3 9 5 7 7 5 +--R 7a b + 10a b - 17a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 2 10 4 8 3 +--R (3a b - 3a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 2 +--R (2a b + 23a b - 25a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 2 10 4 8 6 6 +--R (5a b + 20a b - 25a b )cos(d x + c) + 4a b + 19a b - 8a b +--R + +--R 8 4 +--R - 15a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 11 3 9 5 7 3 +--R (- 5a b + 22a b - 17a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 2 +--R (- 5a b + 12a b + 33a b - 40a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 11 3 9 +--R (3a b + 15a b + 21a b - 39a b )cos(d x + c) + 3a b + 17a b +--R + +--R 5 7 7 5 9 3 +--R 13a b - 29a b - 4a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 12 2 10 4 8 5 +--R (b + a b - 2a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 4 +--R (b + 6a b + 15a b - 22a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 3 +--R (- 2b - 18a b + 48a b - 28a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 2 +--R (- 2b - 28a b + 16a b + 18a b - 4a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 12 +--R (b + 9a b + 9a b + 11a b - 30a b )cos(d x + c) + b +--R + +--R 2 10 4 8 6 6 8 4 +--R 14a b + 20a b + 4a b - 39a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 11 3 9 5 7 6 +--R (- a b - 4a b + 5a b )cos(d x + c) +--R + +--R 11 3 9 5 7 5 +--R (3a b + 15a b - 18a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 4 +--R (6a b + 27a b + 18a b - 51a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 3 +--R (- 6a b - 24a b + 42a b - 12a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 2 +--R (- 9a b - 44a b - 16a b + 47a b + 22a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (3a b + 5a b - a b + 5a b - 12a b )cos(d x + c) + 4a b +--R + +--R 3 9 5 7 7 5 9 3 +--R 17a b + 16a b - 3a b - 34a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2 10 4 8 7 +--R (- 3a b + 3a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 6 +--R (- 3a b - 6a b + 9a b )cos(d x + c) +--R + +--R 4 8 6 6 5 +--R (33a b - 33a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 4 +--R (2a b + 57a b - 30a b - 29a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 3 +--R (a b - 35a b + 34a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 2 +--R (- 3a b - 60a b + 12a b + 39a b + 12a b )cos(d x + c) +--R + +--R 2 10 4 8 8 4 10 2 2 10 4 8 +--R (2a b - a b + a b - 2a b )cos(d x + c) + 4a b + 9a b +--R + +--R 6 6 8 4 10 2 +--R 10a b - 9a b - 14a b +--R * +--R sin(d x + c) +--R + +--R 11 3 9 5 7 7 +--R (2a b - 7a b + 5a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 6 +--R (2a b - 8a b + 4a b + 2a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 5 +--R (- 4a b + 10a b + 7a b - 13a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 4 +--R (- 4a b + 13a b + 12a b - 17a b - 4a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 3 +--R (2a b - 3a b - 12a b + 13a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 2 +--R (2a b - 6a b - 19a b + 14a b + 7a b + 2a b)cos(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 11 +--R a b + 3a b + a b - 3a b - 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 9 5 7 7 +--R (12a b - 12a b )sin(d x + c) +--R + +--R 2 10 4 8 2 2 10 4 8 +--R (6a b - 6a b )cos(d x + c) + (12a b - 12a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 +--R 6a b + 12a b - 18a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 11 3 9 3 +--R (6a b - 6a b )cos(d x + c) +--R + +--R 11 3 9 5 7 2 +--R (12a b + 54a b - 66a b )cos(d x + c) +--R + +--R 11 3 9 5 7 11 3 9 5 7 +--R (2a b + 32a b - 34a b )cos(d x + c) - 8a b - 10a b - 16a b +--R + +--R 7 5 +--R 34a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 12 2 10 4 8 4 +--R (- 2b - 2a b + 4a b )cos(d x + c) +--R + +--R 12 2 10 4 8 3 +--R (- 2b + 52a b - 50a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 2 +--R (2b + 64a b + 70a b - 136a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 12 2 10 +--R (- 2b - 10a b + 26a b - 14a b )cos(d x + c) - 4b - 36a b +--R + +--R 4 8 6 6 8 4 +--R - 64a b + 12a b + 92a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 11 3 9 5 7 4 +--R (4a b + 28a b - 32a b )cos(d x + c) +--R + +--R 11 3 9 5 7 3 +--R (- 4a b + 116a b - 112a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 2 +--R (- 12a b + 100a b - 8a b - 80a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 11 +--R (- 12a b - 56a b + 28a b + 40a b )cos(d x + c) - 8a b +--R + +--R 3 9 5 7 7 5 9 3 +--R - 76a b - 48a b + 56a b + 76a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 12 2 10 4 8 6 +--R (- 2b - 8a b + 10a b )cos(d x + c) +--R + +--R 2 10 4 8 5 +--R (24a b - 24a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 4 +--R (6b + 42a b + 42a b - 90a b )cos(d x + c) +--R + +--R 4 8 6 6 3 +--R (96a b - 96a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 2 +--R (- 6b - 28a b + 12a b + 18a b + 4a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 12 +--R (- 32a b - 64a b + 44a b + 52a b )cos(d x + c) + 2b +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R - 14a b - 56a b + 6a b + 34a b + 28a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 11 3 9 7 +--R (- 6a b + 6a b )cos(d x + c) +--R + +--R 11 3 9 5 7 6 +--R (- 6a b - 12a b + 18a b )cos(d x + c) +--R + +--R 11 3 9 5 7 5 +--R (- 6a b + 60a b - 54a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 4 +--R (- 2a b + 106a b - 50a b - 54a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 3 +--R (14a b - 38a b + 64a b - 40a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 2 +--R (6a b - 84a b + 28a b + 34a b + 16a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (- 2a b - 28a b - 22a b + 28a b + 24a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R 2a b - 10a b - 8a b + 6a b + 6a b + 4a b +--R * +--R sin(d x + c) +--R + +--R 12 2 10 4 8 7 +--R (4b - 14a b + 10a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 6 +--R (4b - 16a b + 8a b + 4a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 5 +--R (- 8b + 18a b + 12a b - 22a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 4 +--R (- 8b + 24a b + 22a b - 30a b - 8a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 3 +--R (4b - 2a b - 16a b + 22a b - 8a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 2 +--R (4b - 8a b - 30a b + 24a b + 6a b + 4a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (- 2a b - 6a b - 2a b + 6a b + 4a b )cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 4 8 6 6 7 +--R (6a b - 6a b )sin(d x + c) +--R + +--R 3 9 5 7 2 3 9 5 7 3 9 +--R (3a b - 3a b )cos(d x + c) + (6a b - 6a b )cos(d x + c) + 7a b +--R + +--R 5 7 7 5 +--R 10a b - 17a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 2 10 4 8 3 +--R (3a b - 3a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 2 +--R (2a b + 23a b - 25a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 2 10 4 8 6 6 +--R (5a b + 20a b - 25a b )cos(d x + c) + 4a b + 19a b - 8a b +--R + +--R 8 4 +--R - 15a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 11 3 9 5 7 3 +--R (- 5a b + 22a b - 17a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 2 +--R (- 5a b + 12a b + 33a b - 40a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 11 3 9 +--R (3a b + 15a b + 21a b - 39a b )cos(d x + c) + 3a b + 17a b +--R + +--R 5 7 7 5 9 3 +--R 13a b - 29a b - 4a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 12 2 10 4 8 5 +--R (b + a b - 2a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 4 +--R (b + 6a b + 15a b - 22a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 3 +--R (- 2b - 18a b + 48a b - 28a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 2 +--R (- 2b - 28a b + 16a b + 18a b - 4a b )cos(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 12 2 10 +--R (b + 9a b + 9a b + 11a b - 30a b )cos(d x + c) + b + 14a b +--R + +--R 4 8 6 6 8 4 +--R 20a b + 4a b - 39a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 11 3 9 5 7 6 +--R (- a b - 4a b + 5a b )cos(d x + c) +--R + +--R 11 3 9 5 7 5 +--R (3a b + 15a b - 18a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 4 +--R (6a b + 27a b + 18a b - 51a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 3 +--R (- 6a b - 24a b + 42a b - 12a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 2 +--R (- 9a b - 44a b - 16a b + 47a b + 22a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (3a b + 5a b - a b + 5a b - 12a b )cos(d x + c) + 4a b +--R + +--R 3 9 5 7 7 5 9 3 +--R 17a b + 16a b - 3a b - 34a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2 10 4 8 7 +--R (- 3a b + 3a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 6 +--R (- 3a b - 6a b + 9a b )cos(d x + c) +--R + +--R 4 8 6 6 5 +--R (33a b - 33a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 4 +--R (2a b + 57a b - 30a b - 29a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 3 +--R (a b - 35a b + 34a b )cos(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 2 +--R (- 3a b - 60a b + 12a b + 39a b + 12a b )cos(d x + c) +--R + +--R 2 10 4 8 8 4 10 2 2 10 4 8 6 6 +--R (2a b - a b + a b - 2a b )cos(d x + c) + 4a b + 9a b + 10a b +--R + +--R 8 4 10 2 +--R - 9a b - 14a b +--R * +--R sin(d x + c) +--R + +--R 11 3 9 5 7 7 +--R (2a b - 7a b + 5a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 6 +--R (2a b - 8a b + 4a b + 2a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 5 +--R (- 4a b + 10a b + 7a b - 13a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 4 +--R (- 4a b + 13a b + 12a b - 17a b - 4a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 3 +--R (2a b - 3a b - 12a b + 13a b )cos(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 2 3 9 +--R (2a b - 6a b - 19a b + 14a b + 7a b + 2a b)cos(d x + c) + a b +--R + +--R 5 7 7 5 9 3 11 +--R 3a b + a b - 3a b - 2a b +--R / +--R 4 10 6 8 8 6 6 +--R (8a b - 16a b + 8a b )sin(d x + c) +--R + +--R 3 11 5 9 7 7 2 +--R (- 8a b + 16a b - 8a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 3 11 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) + 16a b +--R + +--R 7 7 9 5 +--R - 48a b + 32a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 2 12 4 10 6 8 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 3 +--R (- 8a b + 24a b - 24a b + 8a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 2 +--R (- 12a b - 4a b + 44a b - 28a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (8a b + 8a b - 72a b + 88a b - 32a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R 10a b + 40a b - 60a b - 40a b + 50a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 13 3 11 5 9 7 7 5 +--R (2a b - 6a b + 6a b - 2a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 4 +--R (2a b + 2a b - 10a b + 6a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (- 4a b - 16a b + 72a b - 80a b + 28a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 2 +--R (- 4a b - 32a b + 40a b + 32a b - 36a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (2a b + 22a b - 28a b - 68a b + 122a b - 50a b ) +--R * +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R 2a b + 30a b + 20a b - 100a b + 10a b + 38a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 5 +--R (6a b - 18a b + 18a b - 6a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 4 +--R (6a b - 6a b - 6a b + 6a b )cos(d x + c) +--R + +--R 2 12 6 8 8 6 10 4 3 +--R (- 12a b + 72a b - 96a b + 36a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 2 +--R (- 12a b - 24a b + 64a b - 8a b - 20a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (6a b + 18a b - 52a b - 12a b + 78a b - 38a b ) +--R * +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R 6a b + 30a b - 20a b - 60a b + 30a b + 14a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 5 +--R (6a b - 18a b + 18a b - 6a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 4 +--R (6a b - 10a b + 2a b + 2a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (- 12a b + 16a b + 24a b - 48a b + 20a b )cos(d x + c) +--R + +--R 3 11 7 7 9 5 11 3 2 +--R (- 12a b + 32a b - 16a b - 4a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R (6a b + 2a b - 28a b + 12a b + 22a b - 14a b) +--R * +--R cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R 6a b + 10a b - 20a b - 12a b + 14a b + 2a b +--R * +--R sin(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 5 +--R (2a b - 6a b + 6a b - 2a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 4 10 6 8 10 4 12 2 3 +--R (- 4a b + 8a b - 8a b + 4a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 2 +--R (- 4a b + 4a b + 4a b - 4a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 14 +--R (2a b - 2a b - 4a b + 4a b + 2a b - 2a )cos(d x + c) +--R + +--R 4 10 8 6 12 2 +--R 2a b - 4a b + 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 11 5 9 7 7 6 +--R (16a b - 32a b + 16a b )sin(d x + c) +--R + +--R 2 12 4 10 6 8 2 +--R (- 16a b + 32a b - 16a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 2 12 +--R (16a b - 48a b + 48a b - 16a b )cos(d x + c) + 32a b +--R + +--R 6 8 8 6 +--R - 96a b + 64a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 13 3 11 5 9 4 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 3 +--R (- 16a b + 48a b - 48a b + 16a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 2 +--R (- 24a b - 8a b + 88a b - 56a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (16a b + 16a b - 144a b + 176a b - 64a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R 20a b + 80a b - 120a b - 80a b + 100a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 14 2 12 4 10 6 8 5 +--R (4b - 12a b + 12a b - 4a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 4 +--R (4b + 4a b - 20a b + 12a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 8 6 3 +--R (- 8b - 32a b + 144a b - 160a b + 56a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 8 6 2 +--R (- 8b - 64a b + 80a b + 64a b - 72a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R (4b + 44a b - 56a b - 136a b + 244a b - 100a b ) +--R * +--R cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R 4b + 60a b + 40a b - 200a b + 20a b + 76a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 13 3 11 5 9 7 7 5 +--R (12a b - 36a b + 36a b - 12a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 4 +--R (12a b - 12a b - 12a b + 12a b )cos(d x + c) +--R + +--R 13 5 9 7 7 9 5 3 +--R (- 24a b + 144a b - 192a b + 72a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (- 24a b - 48a b + 128a b - 16a b - 40a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (12a b + 36a b - 104a b - 24a b + 156a b - 76a b ) +--R * +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R 12a b + 60a b - 40a b - 120a b + 60a b + 28a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 5 +--R (12a b - 36a b + 36a b - 12a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 4 +--R (12a b - 20a b + 4a b + 4a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (- 24a b + 32a b + 48a b - 96a b + 40a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 2 12 6 8 8 6 10 4 2 +--R (- 24a b + 64a b - 32a b - 8a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (12a b + 4a b - 56a b + 24a b + 44a b - 28a b ) +--R * +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R 12a b + 20a b - 40a b - 24a b + 28a b + 4a b +--R * +--R sin(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 5 +--R (4a b - 12a b + 12a b - 4a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 4 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 3 11 5 9 9 5 11 3 3 +--R (- 8a b + 16a b - 16a b + 8a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 2 +--R (- 8a b + 8a b + 8a b - 8a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R (4a b - 4a b - 8a b + 8a b + 4a b - 4a b)cos(d x + c) +--R + +--R 3 11 7 7 11 3 +--R 4a b - 8a b + 4a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 4 10 6 8 8 6 6 +--R (8a b - 16a b + 8a b )sin(d x + c) +--R + +--R 3 11 5 9 7 7 2 +--R (- 8a b + 16a b - 8a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 3 11 7 7 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) + 16a b - 48a b +--R + +--R 9 5 +--R 32a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 2 12 4 10 6 8 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 3 +--R (- 8a b + 24a b - 24a b + 8a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 2 +--R (- 12a b - 4a b + 44a b - 28a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (8a b + 8a b - 72a b + 88a b - 32a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R 10a b + 40a b - 60a b - 40a b + 50a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 13 3 11 5 9 7 7 5 +--R (2a b - 6a b + 6a b - 2a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 4 +--R (2a b + 2a b - 10a b + 6a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (- 4a b - 16a b + 72a b - 80a b + 28a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 2 +--R (- 4a b - 32a b + 40a b + 32a b - 36a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (2a b + 22a b - 28a b - 68a b + 122a b - 50a b ) +--R * +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R 2a b + 30a b + 20a b - 100a b + 10a b + 38a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 5 +--R (6a b - 18a b + 18a b - 6a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 4 +--R (6a b - 6a b - 6a b + 6a b )cos(d x + c) +--R + +--R 2 12 6 8 8 6 10 4 3 +--R (- 12a b + 72a b - 96a b + 36a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 2 +--R (- 12a b - 24a b + 64a b - 8a b - 20a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (6a b + 18a b - 52a b - 12a b + 78a b - 38a b ) +--R * +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R 6a b + 30a b - 20a b - 60a b + 30a b + 14a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 5 +--R (6a b - 18a b + 18a b - 6a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 4 +--R (6a b - 10a b + 2a b + 2a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (- 12a b + 16a b + 24a b - 48a b + 20a b )cos(d x + c) +--R + +--R 3 11 7 7 9 5 11 3 2 +--R (- 12a b + 32a b - 16a b - 4a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R (6a b + 2a b - 28a b + 12a b + 22a b - 14a b)cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R 6a b + 10a b - 20a b - 12a b + 14a b + 2a b +--R * +--R sin(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 5 +--R (2a b - 6a b + 6a b - 2a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 4 10 6 8 10 4 12 2 3 +--R (- 4a b + 8a b - 8a b + 4a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 2 +--R (- 4a b + 4a b + 4a b - 4a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 14 +--R (2a b - 2a b - 4a b + 4a b + 2a b - 2a )cos(d x + c) +--R + +--R 4 10 8 6 12 2 +--R 2a b - 4a b + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 4 11 6 9 8 7 10 5 6 +--R (- 8a b + 24a b - 24a b + 8a b )sin(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 2 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 3 12 +--R (- 8a b + 24a b - 24a b + 8a b )cos(d x + c) - 16a b +--R + +--R 5 10 7 8 9 6 11 4 +--R 16a b + 48a b - 80a b + 32a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 4 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 3 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 2 +--R (12a b - 8a b - 48a b + 72a b - 28a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (- 8a b - 8a b + 72a b - 88a b + 32a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R - 10a b - 30a b + 100a b - 20a b - 90a b + 50a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 14 3 12 5 10 7 8 5 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 14 5 10 7 8 9 6 4 +--R (- 2a b + 12a b - 16a b + 6a b )cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 3 +--R (4a b + 16a b - 72a b + 80a b - 28a b )cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (4a b + 28a b - 72a b + 8a b + 68a b - 36a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (- 2a b - 22a b + 28a b + 68a b - 122a b + 50a b ) +--R * +--R cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R - 2a b - 28a b + 10a b + 120a b - 110a b - 28a b +--R + +--R 13 2 +--R 38a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 2 13 4 11 8 7 10 5 4 +--R (- 6a b + 12a b - 12a b + 6a b )cos(d x + c) +--R + +--R 2 13 6 9 8 7 10 5 3 +--R (12a b - 72a b + 96a b - 36a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (12a b + 12a b - 88a b + 72a b + 12a b - 20a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (- 6a b - 18a b + 52a b + 12a b - 78a b + 38a b ) +--R * +--R cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 14 +--R - 6a b - 24a b + 50a b + 40a b - 90a b + 16a b + 14a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 11 4 4 +--R (- 6a b + 16a b - 12a b + 2a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 3 +--R (12a b - 16a b - 24a b + 48a b - 20a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (12a b - 12a b - 32a b + 48a b - 12a b - 4a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (- 6a b - 2a b + 28a b - 12a b - 22a b + 14a b ) +--R * +--R cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 15 +--R - 6a b - 4a b + 30a b - 8a b - 26a b + 12a b + 2a +--R * +--R sin(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 5 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 4 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 4 11 6 9 10 5 12 3 3 +--R (4a b - 8a b + 8a b - 4a b )cos(d x + c) +--R + +--R 4 11 6 9 10 5 12 3 2 +--R (4a b - 8a b + 8a b - 4a b )cos(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R (- 2a b + 2a b + 4a b - 4a b - 2a b + 2a b)cos(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R - 2a b + 2a b + 4a b - 4a b - 2a b + 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 12 5 10 7 8 9 6 6 +--R (- 16a b + 48a b - 48a b + 16a b )sin(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 2 +--R (16a b - 48a b + 48a b - 16a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 2 13 +--R (- 16a b + 48a b - 48a b + 16a b )cos(d x + c) - 32a b +--R + +--R 4 11 6 9 8 7 10 5 +--R 32a b + 96a b - 160a b + 64a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 14 3 12 5 10 7 8 4 +--R (- 4a b + 12a b - 12a b + 4a b )cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 3 +--R (16a b - 48a b + 48a b - 16a b )cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 2 +--R (24a b - 16a b - 96a b + 144a b - 56a b )cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (- 16a b - 16a b + 144a b - 176a b + 64a b )cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R - 20a b - 60a b + 200a b - 40a b - 180a b + 100a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 15 2 13 4 11 6 9 5 +--R (- 4b + 12a b - 12a b + 4a b )cos(d x + c) +--R + +--R 15 4 11 6 9 8 7 4 +--R (- 4b + 24a b - 32a b + 12a b )cos(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 3 +--R (8b + 32a b - 144a b + 160a b - 56a b )cos(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 +--R (8b + 56a b - 144a b + 16a b + 136a b - 72a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 +--R (- 4b - 44a b + 56a b + 136a b - 244a b + 100a b ) +--R * +--R cos(d x + c) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 12 3 +--R - 4b - 56a b + 20a b + 240a b - 220a b - 56a b + 76a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 14 3 12 5 10 7 8 5 +--R (- 12a b + 36a b - 36a b + 12a b )cos(d x + c) +--R + +--R 14 3 12 7 8 9 6 4 +--R (- 12a b + 24a b - 24a b + 12a b )cos(d x + c) +--R + +--R 14 5 10 7 8 9 6 3 +--R (24a b - 144a b + 192a b - 72a b )cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (24a b + 24a b - 176a b + 144a b + 24a b - 40a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (- 12a b - 36a b + 104a b + 24a b - 156a b + 76a b ) +--R * +--R cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R - 12a b - 48a b + 100a b + 80a b - 180a b + 32a b +--R + +--R 13 2 +--R 28a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 5 +--R (- 12a b + 36a b - 36a b + 12a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 10 5 4 +--R (- 12a b + 32a b - 24a b + 4a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 3 +--R (24a b - 32a b - 48a b + 96a b - 40a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (24a b - 24a b - 64a b + 96a b - 24a b - 8a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (- 12a b - 4a b + 56a b - 24a b - 44a b + 28a b ) +--R * +--R cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 14 +--R - 12a b - 8a b + 60a b - 16a b - 52a b + 24a b + 4a b +--R * +--R sin(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 5 +--R (- 4a b + 12a b - 12a b + 4a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 4 +--R (- 4a b + 12a b - 12a b + 4a b )cos(d x + c) +--R + +--R 3 12 5 10 9 6 11 4 3 +--R (8a b - 16a b + 16a b - 8a b )cos(d x + c) +--R + +--R 3 12 5 10 9 6 11 4 2 +--R (8a b - 16a b + 16a b - 8a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (- 4a b + 4a b + 8a b - 8a b - 4a b + 4a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R - 4a b + 4a b + 8a b - 8a b - 4a b + 4a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 4 11 6 9 8 7 10 5 6 +--R (- 8a b + 24a b - 24a b + 8a b )sin(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 2 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 3 12 5 10 +--R (- 8a b + 24a b - 24a b + 8a b )cos(d x + c) - 16a b + 16a b +--R + +--R 7 8 9 6 11 4 +--R 48a b - 80a b + 32a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 4 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 3 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 2 +--R (12a b - 8a b - 48a b + 72a b - 28a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 2 13 +--R (- 8a b - 8a b + 72a b - 88a b + 32a b )cos(d x + c) - 10a b +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R - 30a b + 100a b - 20a b - 90a b + 50a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 14 3 12 5 10 7 8 5 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 14 5 10 7 8 9 6 4 +--R (- 2a b + 12a b - 16a b + 6a b )cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 3 +--R (4a b + 16a b - 72a b + 80a b - 28a b )cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 2 +--R (4a b + 28a b - 72a b + 8a b + 68a b - 36a b )cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (- 2a b - 22a b + 28a b + 68a b - 122a b + 50a b ) +--R * +--R cos(d x + c) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 13 2 +--R - 2a b - 28a b + 10a b + 120a b - 110a b - 28a b + 38a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 2 13 4 11 8 7 10 5 4 +--R (- 6a b + 12a b - 12a b + 6a b )cos(d x + c) +--R + +--R 2 13 6 9 8 7 10 5 3 +--R (12a b - 72a b + 96a b - 36a b )cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (12a b + 12a b - 88a b + 72a b + 12a b - 20a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (- 6a b - 18a b + 52a b + 12a b - 78a b + 38a b ) +--R * +--R cos(d x + c) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 14 +--R - 6a b - 24a b + 50a b + 40a b - 90a b + 16a b + 14a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 11 4 4 +--R (- 6a b + 16a b - 12a b + 2a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 3 +--R (12a b - 16a b - 24a b + 48a b - 20a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 2 +--R (12a b - 12a b - 32a b + 48a b - 12a b - 4a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (- 6a b - 2a b + 28a b - 12a b - 22a b + 14a b )cos(d x + c) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 15 +--R - 6a b - 4a b + 30a b - 8a b - 26a b + 12a b + 2a +--R * +--R sin(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 5 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 4 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 4 11 6 9 10 5 12 3 3 +--R (4a b - 8a b + 8a b - 4a b )cos(d x + c) +--R + +--R 4 11 6 9 10 5 12 3 2 +--R (4a b - 8a b + 8a b - 4a b )cos(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 4 11 +--R (- 2a b + 2a b + 4a b - 4a b - 2a b + 2a b)cos(d x + c) - 2a b +--R + +--R 6 9 8 7 10 5 12 3 14 +--R 2a b + 4a b - 4a b - 2a b + 2a b +--R Type: Expression Integer +--E 77 + +--S 78 of 520 +m0014b:= a0014.2-r0014 +--R +--R +--R (42) +--R 3 5 5 3 3 +--R (- 4a b - 8a b )sin(d x + c) +--R + +--R 2 6 4 4 2 2 6 4 4 6 2 2 +--R ((2a b + 4a b )cos(d x + c) - 2a b - 14a b - 20a b )sin(d x + c) +--R + +--R 3 5 5 3 2 3 5 5 3 7 +--R ((4a b + 8a b )cos(d x + c) - 4a b - 16a b - 16a b)sin(d x + c) +--R + +--R 4 4 6 2 2 4 4 6 2 8 +--R (2a b + 4a b )cos(d x + c) - 2a b - 6a b - 4a +--R * +--R +---------+ +--R | 2 2 +--R (a sin(d x + c) + b cos(d x + c) + b)\|- b + a +--R atan(-------------------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R + +--R 3 5 5 3 3 +--R (- 4a b - 8a b )sin(d x + c) +--R + +--R 2 6 4 4 2 2 6 4 4 6 2 2 +--R ((2a b + 4a b )cos(d x + c) - 2a b - 14a b - 20a b )sin(d x + c) +--R + +--R 3 5 5 3 2 3 5 5 3 7 +--R ((4a b + 8a b )cos(d x + c) - 4a b - 16a b - 16a b)sin(d x + c) +--R + +--R 4 4 6 2 2 4 4 6 2 8 +--R (2a b + 4a b )cos(d x + c) - 2a b - 6a b - 4a +--R * +--R d x + c +--R a tan(-------) + b +--R 2 +--R atan(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 4 6 3 4 3 +--R (3a b cos(d x + c) - 2a b + 8a b )sin(d x + c) +--R + +--R 7 2 5 2 2 5 4 3 7 +--R (b - 4a b )cos(d x + c) + (- a b + 4a b )cos(d x + c) - b +--R + +--R 2 5 4 3 +--R - a b + 20a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 4 3 6 3 4 2 +--R 3a b cos(d x + c) + (2a b - 8a b )cos(d x + c) +--R + +--R 3 4 6 3 4 5 2 +--R - 3a b cos(d x + c) - 2a b + 4a b + 16a b +--R * +--R sin(d x + c) +--R + +--R 2 5 4 3 3 2 5 4 3 2 +--R (- a b + 4a b )cos(d x + c) + (a b - 4a b )cos(d x + c) +--R + +--R 2 5 4 3 2 5 4 3 6 +--R (a b - 4a b )cos(d x + c) - a b + 3a b + 4a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 3 7 5 5 7 3 3 +--R (4a b - 8a b + 4a b )d sin(d x + c) +--R + +--R 2 8 4 6 6 4 2 +--R (- 2a b + 4a b - 2a b )d cos(d x + c) +--R + +--R 2 8 4 6 6 4 8 2 +--R (2a b + 6a b - 18a b + 10a b )d +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 7 5 5 7 3 2 3 7 7 3 9 +--R ((- 4a b + 8a b - 4a b )d cos(d x + c) + (4a b - 12a b + 8a b)d) +--R * +--R sin(d x + c) +--R + +--R 4 6 6 4 8 2 2 +--R (- 2a b + 4a b - 2a b )d cos(d x + c) +--R + +--R 4 6 6 4 8 2 10 +--R (2a b - 2a b - 2a b + 2a )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 78 + +--S 79 of 520 +d0014b:= D(m0014b,x) +--R +--R +--R (43) +--R 4 6 8 +--R - 6a b sin(d x + c) +--R + +--R 3 7 2 3 7 3 7 5 5 +--R (- 3a b cos(d x + c) - 12a b cos(d x + c) - 9a b - 9a b ) +--R * +--R 7 +--R sin(d x + c) +--R + +--R 2 8 3 2 8 4 6 2 +--R - 6a b cos(d x + c) + (- 9a b - 39a b )cos(d x + c) +--R + +--R 2 8 4 6 2 8 4 6 6 4 +--R (- 10a b - 62a b )cos(d x + c) - 5a b - 30a b + 17a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 9 3 7 4 9 3 7 3 +--R (a b - a b )cos(d x + c) + (10a b - 40a b )cos(d x + c) +--R + +--R 9 3 7 5 5 2 +--R (8a b - 46a b - 85a b )cos(d x + c) +--R + +--R 9 3 7 5 5 9 3 7 +--R (- 6a b - 46a b - 128a b )cos(d x + c) - 5a b - 31a b +--R + +--R 5 5 7 3 +--R - 52a b + 46a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 10 2 8 5 +--R (- 2b - 4a b )cos(d x + c) +--R + +--R 10 2 8 4 6 4 +--R (- 2b - 5a b - 41a b )cos(d x + c) +--R + +--R 10 2 8 4 6 3 +--R (4b + 50a b - 90a b )cos(d x + c) +--R + +--R 10 2 8 4 6 6 4 2 +--R (4b + 54a b - 47a b - 47a b )cos(d x + c) +--R + +--R 10 2 8 4 6 6 4 10 2 8 +--R (- 2b - 26a b - 74a b - 138a b )cos(d x + c) - 2b - 29a b +--R + +--R 4 6 6 4 8 2 +--R - 72a b - 85a b + 38a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 9 3 7 6 9 3 7 5 +--R (a b + 5a b )cos(d x + c) + (- 8a b - 40a b )cos(d x + c) +--R + +--R 9 3 7 5 5 4 +--R (- 11a b - 50a b - 101a b )cos(d x + c) +--R + +--R 9 3 7 5 5 3 +--R (16a b + 100a b - 80a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 2 +--R (19a b + 121a b + 69a b + 22a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 9 3 7 +--R (- 8a b - 36a b - 52a b - 84a b )cos(d x + c) - 9a b - 52a b +--R + +--R 5 5 7 3 9 +--R - 100a b - 99a b + 14a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 8 7 2 8 4 6 6 +--R 6a b cos(d x + c) + (6a b - 3a b )cos(d x + c) +--R + +--R 2 8 4 6 5 +--R (- 6a b - 102a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 4 +--R (- 8a b - 115a b - 75a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 3 +--R (10a b + 128a b - 24a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 8 2 2 +--R (14a b + 171a b + 117a b + 34a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 8 2 2 8 +--R (- 10a b - 18a b - 16a b - 28a b )cos(d x + c) - 12a b +--R + +--R 4 6 6 4 8 2 10 +--R - 45a b - 82a b - 61a b + 2a +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 7 8 9 3 7 7 +--R 3a b cos(d x + c) + (- 4a b + 16a b )cos(d x + c) +--R + +--R 9 3 7 5 5 6 +--R (- 4a b + 17a b - 25a b )cos(d x + c) +--R + +--R 9 3 7 5 5 5 +--R (8a b - 12a b - 92a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 4 +--R (8a b - 25a b - 61a b - 24a b )cos(d x + c) +--R + +--R 9 5 5 3 +--R (- 4a b + 94a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 9 2 +--R (- 4a b + 11a b + 107a b + 55a b + 14a b)cos(d x + c) +--R + +--R 3 7 5 5 7 3 9 3 7 5 5 +--R (- 4a b - 2a b - 2a b - 4a b)cos(d x + c) - 6a b - 21a b +--R + +--R 7 3 9 +--R - 33a b - 18a b +--R * +--R sin(d x + c) +--R + +--R 2 8 4 6 8 2 8 4 6 7 +--R (- 2a b + 5a b )cos(d x + c) + (- 4a b + 10a b )cos(d x + c) +--R + +--R 2 8 6 4 6 +--R (2a b - 11a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 5 +--R (8a b - 12a b - 26a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 8 2 4 +--R (2a b - 8a b - 8a b - 4a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 3 +--R (- 4a b + 2a b + 26a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 8 2 10 2 4 6 6 4 +--R (- 2a b + 4a b + 23a b + 9a b + 2a )cos(d x + c) - a b - 4a b +--R + +--R 8 2 10 +--R - 5a b - 2a +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 7 8 +--R - 12a b sin(d x + c) +--R + +--R 2 8 2 2 8 2 8 4 6 +--R (- 6a b cos(d x + c) - 24a b cos(d x + c) - 10a b - 2a b ) +--R * +--R 7 +--R sin(d x + c) +--R + +--R 9 3 9 3 7 2 +--R - 12a b cos(d x + c) + (- 26a b - 94a b )cos(d x + c) +--R + +--R 9 3 7 9 3 7 5 5 +--R (- 4a b - 92a b )cos(d x + c) + 14a b + 20a b + 98a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 10 2 8 4 10 2 8 3 +--R (4b + 2a b )cos(d x + c) + (4b - 112a b )cos(d x + c) +--R + +--R 10 2 8 4 6 2 +--R (- 4b - 152a b - 210a b )cos(d x + c) +--R + +--R 10 2 8 4 6 10 2 8 4 6 +--R (4b + 20a b - 96a b )cos(d x + c) + 8b + 74a b + 146a b +--R + +--R 6 4 +--R 192a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 9 3 7 4 9 3 7 3 +--R (- 4a b - 86a b )cos(d x + c) + (12a b - 324a b )cos(d x + c) +--R + +--R 9 3 7 5 5 2 +--R (24a b - 234a b - 102a b )cos(d x + c) +--R + +--R 9 3 7 5 5 9 3 7 +--R (28a b + 160a b + 52a b )cos(d x + c) + 20a b + 164a b +--R + +--R 5 5 7 3 +--R 204a b + 152a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 10 2 8 6 2 8 5 +--R (4b + 14a b )cos(d x + c) - 48a b cos(d x + c) +--R + +--R 10 2 8 4 6 4 +--R (- 12b - 102a b - 246a b )cos(d x + c) +--R + +--R 2 8 4 6 3 +--R (8a b - 416a b )cos(d x + c) +--R + +--R 10 2 8 6 4 2 +--R (12b + 106a b + 104a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 10 2 8 +--R (88a b + 328a b + 184a b )cos(d x + c) - 4b + 30a b +--R + +--R 4 6 6 4 8 2 +--R 158a b + 108a b + 56a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 9 7 9 3 7 6 +--R 12a b cos(d x + c) + (18a b + 6a b )cos(d x + c) +--R + +--R 9 3 7 5 +--R (12a b - 156a b )cos(d x + c) +--R + +--R 9 3 7 5 5 4 +--R (- 10a b - 252a b - 218a b )cos(d x + c) +--R + +--R 9 3 7 5 5 3 +--R (- 28a b + 48a b - 272a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 2 +--R (- 2a b + 238a b + 180a b + 136a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 9 +--R (4a b + 124a b + 296a b + 152a b )cos(d x + c) - 6a b +--R + +--R 3 7 5 5 7 3 9 +--R 24a b + 62a b + 20a b + 8a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2 8 8 10 2 8 7 +--R 6a b cos(d x + c) + (- 8b + 32a b )cos(d x + c) +--R + +--R 10 2 8 4 6 6 +--R (- 8b + 40a b - 38a b )cos(d x + c) +--R + +--R 10 2 8 4 6 5 +--R (16b - 8a b - 152a b )cos(d x + c) +--R + +--R 10 2 8 4 6 6 4 4 +--R (16b - 52a b - 146a b - 88a b )cos(d x + c) +--R + +--R 10 2 8 4 6 6 4 3 +--R (- 8b - 32a b + 76a b - 96a b )cos(d x + c) +--R + +--R 10 2 8 4 6 6 4 8 2 2 +--R (- 8b + 8a b + 178a b + 108a b + 56a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 8 2 2 8 4 6 +--R (8a b + 76a b + 124a b + 56a b )cos(d x + c) - 2a b + 6a b +--R + +--R 6 4 +--R 8a b +--R * +--R sin(d x + c) +--R + +--R 9 3 7 8 9 3 7 7 +--R (- 4a b + 10a b )cos(d x + c) + (- 8a b + 20a b )cos(d x + c) +--R + +--R 9 3 7 5 5 6 +--R (4a b + 2a b - 18a b )cos(d x + c) +--R + +--R 9 3 7 5 5 5 +--R (16a b - 20a b - 44a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 4 +--R (4a b - 18a b - 24a b - 16a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 3 +--R (- 8a b - 4a b + 28a b - 16a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 9 2 +--R (- 4a b + 6a b + 42a b + 20a b + 8a b)cos(d x + c) +--R + +--R 3 7 5 5 7 3 9 +--R (4a b + 16a b + 20a b + 8a b)cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 4 6 8 +--R - 6a b sin(d x + c) +--R + +--R 3 7 2 3 7 3 7 5 5 7 +--R (- 3a b cos(d x + c) - 12a b cos(d x + c) - 9a b - 9a b )sin(d x + c) +--R + +--R 2 8 3 2 8 4 6 2 +--R - 6a b cos(d x + c) + (- 9a b - 39a b )cos(d x + c) +--R + +--R 2 8 4 6 2 8 4 6 6 4 +--R (- 10a b - 62a b )cos(d x + c) - 5a b - 30a b + 17a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 9 3 7 4 9 3 7 3 +--R (a b - a b )cos(d x + c) + (10a b - 40a b )cos(d x + c) +--R + +--R 9 3 7 5 5 2 +--R (8a b - 46a b - 85a b )cos(d x + c) +--R + +--R 9 3 7 5 5 9 3 7 5 5 +--R (- 6a b - 46a b - 128a b )cos(d x + c) - 5a b - 31a b - 52a b +--R + +--R 7 3 +--R 46a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 10 2 8 5 +--R (- 2b - 4a b )cos(d x + c) +--R + +--R 10 2 8 4 6 4 +--R (- 2b - 5a b - 41a b )cos(d x + c) +--R + +--R 10 2 8 4 6 3 +--R (4b + 50a b - 90a b )cos(d x + c) +--R + +--R 10 2 8 4 6 6 4 2 +--R (4b + 54a b - 47a b - 47a b )cos(d x + c) +--R + +--R 10 2 8 4 6 6 4 10 2 8 +--R (- 2b - 26a b - 74a b - 138a b )cos(d x + c) - 2b - 29a b +--R + +--R 4 6 6 4 8 2 +--R - 72a b - 85a b + 38a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 9 3 7 6 9 3 7 5 +--R (a b + 5a b )cos(d x + c) + (- 8a b - 40a b )cos(d x + c) +--R + +--R 9 3 7 5 5 4 +--R (- 11a b - 50a b - 101a b )cos(d x + c) +--R + +--R 9 3 7 5 5 3 +--R (16a b + 100a b - 80a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 2 +--R (19a b + 121a b + 69a b + 22a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 9 3 7 +--R (- 8a b - 36a b - 52a b - 84a b )cos(d x + c) - 9a b - 52a b +--R + +--R 5 5 7 3 9 +--R - 100a b - 99a b + 14a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 8 7 2 8 4 6 6 +--R 6a b cos(d x + c) + (6a b - 3a b )cos(d x + c) +--R + +--R 2 8 4 6 5 +--R (- 6a b - 102a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 4 +--R (- 8a b - 115a b - 75a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 3 +--R (10a b + 128a b - 24a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 8 2 2 +--R (14a b + 171a b + 117a b + 34a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 8 2 2 8 4 6 +--R (- 10a b - 18a b - 16a b - 28a b )cos(d x + c) - 12a b - 45a b +--R + +--R 6 4 8 2 10 +--R - 82a b - 61a b + 2a +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 7 8 9 3 7 7 +--R 3a b cos(d x + c) + (- 4a b + 16a b )cos(d x + c) +--R + +--R 9 3 7 5 5 6 +--R (- 4a b + 17a b - 25a b )cos(d x + c) +--R + +--R 9 3 7 5 5 5 +--R (8a b - 12a b - 92a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 4 +--R (8a b - 25a b - 61a b - 24a b )cos(d x + c) +--R + +--R 9 5 5 3 +--R (- 4a b + 94a b )cos(d x + c) +--R + +--R 9 3 7 5 5 7 3 9 2 +--R (- 4a b + 11a b + 107a b + 55a b + 14a b)cos(d x + c) +--R + +--R 3 7 5 5 7 3 9 3 7 5 5 +--R (- 4a b - 2a b - 2a b - 4a b)cos(d x + c) - 6a b - 21a b +--R + +--R 7 3 9 +--R - 33a b - 18a b +--R * +--R sin(d x + c) +--R + +--R 2 8 4 6 8 2 8 4 6 7 +--R (- 2a b + 5a b )cos(d x + c) + (- 4a b + 10a b )cos(d x + c) +--R + +--R 2 8 6 4 6 2 8 4 6 6 4 5 +--R (2a b - 11a b )cos(d x + c) + (8a b - 12a b - 26a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 8 2 4 +--R (2a b - 8a b - 8a b - 4a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 3 +--R (- 4a b + 2a b + 26a b )cos(d x + c) +--R + +--R 2 8 4 6 6 4 8 2 10 2 4 6 6 4 +--R (- 2a b + 4a b + 23a b + 9a b + 2a )cos(d x + c) - a b - 4a b +--R + +--R 8 2 10 +--R - 5a b - 2a +--R / +--R 4 9 6 7 8 5 7 +--R (8a b - 16a b + 8a b )sin(d x + c) +--R + +--R 3 10 5 8 7 6 2 +--R (- 8a b + 16a b - 8a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 3 10 5 8 +--R (16a b - 32a b + 16a b )cos(d x + c) + 24a b - 16a b +--R + +--R 7 6 9 4 +--R - 40a b + 32a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 2 11 4 9 6 7 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 3 +--R (- 16a b + 32a b - 16a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 2 +--R (- 20a b + 20a b + 20a b - 20a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 2 11 +--R (16a b + 48a b - 144a b + 80a b )cos(d x + c) + 18a b +--R + +--R 4 9 6 7 10 3 +--R 64a b - 132a b + 50a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 12 3 10 5 8 5 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 4 +--R (4a b - 10a b + 8a b - 2a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 3 +--R (- 8a b - 56a b + 136a b - 72a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 2 +--R (- 8a b - 52a b + 124a b - 60a b - 4a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 +--R (4a b + 64a b + 24a b - 256a b + 164a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 11 2 +--R 4a b + 62a b + 32a b - 228a b + 92a b + 38a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 2 11 4 9 6 7 6 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 5 +--R (16a b - 32a b + 16a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 4 +--R (10a b - 42a b + 54a b - 22a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 3 +--R (- 32a b - 64a b + 224a b - 128a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (- 26a b - 32a b + 172a b - 144a b + 30a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R (16a b + 96a b - 64a b - 224a b + 176a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 12 +--R 14a b + 78a b - 52a b - 172a b + 118a b + 14a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 3 10 5 8 7 6 6 +--R (6a b - 12a b + 6a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 5 +--R (24a b - 48a b + 24a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 4 +--R (6a b - 46a b + 74a b - 34a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 3 +--R (- 48a b - 16a b + 176a b - 112a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 2 +--R (- 30a b + 16a b + 92a b - 112a b + 34a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R (24a b + 64a b - 96a b - 96a b + 104a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 13 +--R 18a b + 42a b - 68a b - 60a b + 66a b + 2a +--R * +--R 2 +--R sin(d x + c) +--R + +--R 4 9 6 7 8 5 6 +--R (6a b - 12a b + 6a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 5 +--R (16a b - 32a b + 16a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 4 +--R (- 2a b - 16a b + 38a b - 20a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 3 +--R (- 32a b + 16a b + 64a b - 48a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 2 +--R (- 14a b + 20a b + 16a b - 36a b + 14a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 +--R (16a b + 16a b - 48a b - 16a b + 32a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 +--R 10a b + 8a b - 28a b - 8a b + 18a b +--R * +--R sin(d x + c) +--R + +--R 5 8 7 6 9 4 6 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 5 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 5 8 9 4 11 2 4 +--R (- 2a b + 6a b - 4a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 3 +--R (- 8a b + 8a b + 8a b - 8a b )cos(d x + c) +--R + +--R 5 8 7 6 11 2 13 2 +--R (- 2a b + 4a b - 4a b + 2a )cos(d x + c) +--R + +--R 5 8 9 4 13 5 8 9 4 13 +--R (4a b - 8a b + 4a )cos(d x + c) + 2a b - 4a b + 2a +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 10 5 8 7 6 7 +--R (16a b - 32a b + 16a b )sin(d x + c) +--R + +--R 2 11 4 9 6 7 2 +--R (- 16a b + 32a b - 16a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 2 11 4 9 +--R (32a b - 64a b + 32a b )cos(d x + c) + 48a b - 32a b +--R + +--R 6 7 8 5 +--R - 80a b + 64a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 12 3 10 5 8 4 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 12 3 10 5 8 3 +--R (- 32a b + 64a b - 32a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 2 +--R (- 40a b + 40a b + 40a b - 40a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 12 +--R (32a b + 96a b - 288a b + 160a b )cos(d x + c) + 36a b +--R + +--R 3 10 5 8 9 4 +--R 128a b - 264a b + 100a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 13 2 11 4 9 5 +--R (8b - 16a b + 8a b )cos(d x + c) +--R + +--R 13 2 11 4 9 6 7 4 +--R (8b - 20a b + 16a b - 4a b )cos(d x + c) +--R + +--R 13 2 11 4 9 6 7 3 +--R (- 16b - 112a b + 272a b - 144a b )cos(d x + c) +--R + +--R 13 2 11 4 9 6 7 8 5 2 +--R (- 16b - 104a b + 248a b - 120a b - 8a b )cos(d x + c) +--R + +--R 13 2 11 4 9 6 7 8 5 13 +--R (8b + 128a b + 48a b - 512a b + 328a b )cos(d x + c) + 8b +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R 124a b + 64a b - 456a b + 184a b + 76a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 12 3 10 5 8 6 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 12 3 10 5 8 5 +--R (32a b - 64a b + 32a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 4 +--R (20a b - 84a b + 108a b - 44a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 3 +--R (- 64a b - 128a b + 448a b - 256a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 2 +--R (- 52a b - 64a b + 344a b - 288a b + 60a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 +--R (32a b + 192a b - 128a b - 448a b + 352a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 11 2 +--R 28a b + 156a b - 104a b - 344a b + 236a b + 28a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 11 4 9 6 7 6 +--R (12a b - 24a b + 12a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 5 +--R (48a b - 96a b + 48a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 4 +--R (12a b - 92a b + 148a b - 68a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 3 +--R (- 96a b - 32a b + 352a b - 224a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (- 60a b + 32a b + 184a b - 224a b + 68a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R (48a b + 128a b - 192a b - 192a b + 208a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 12 +--R 36a b + 84a b - 136a b - 120a b + 132a b + 4a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 10 5 8 7 6 6 +--R (12a b - 24a b + 12a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 5 +--R (32a b - 64a b + 32a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 4 +--R (- 4a b - 32a b + 76a b - 40a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 3 +--R (- 64a b + 32a b + 128a b - 96a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 2 +--R (- 28a b + 40a b + 32a b - 72a b + 28a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R (32a b + 32a b - 96a b - 32a b + 64a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R 20a b + 16a b - 56a b - 16a b + 36a b +--R * +--R sin(d x + c) +--R + +--R 4 9 6 7 8 5 6 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 5 +--R (8a b - 16a b + 8a b )cos(d x + c) +--R + +--R 4 9 8 5 10 3 4 +--R (- 4a b + 12a b - 8a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 3 +--R (- 16a b + 16a b + 16a b - 16a b )cos(d x + c) +--R + +--R 4 9 6 7 10 3 12 2 +--R (- 4a b + 8a b - 8a b + 4a b)cos(d x + c) +--R + +--R 4 9 8 5 12 4 9 8 5 12 +--R (8a b - 16a b + 8a b)cos(d x + c) + 4a b - 8a b + 4a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 4 9 6 7 8 5 7 +--R (8a b - 16a b + 8a b )sin(d x + c) +--R + +--R 3 10 5 8 7 6 2 +--R (- 8a b + 16a b - 8a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 3 10 5 8 7 6 +--R (16a b - 32a b + 16a b )cos(d x + c) + 24a b - 16a b - 40a b +--R + +--R 9 4 +--R 32a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 2 11 4 9 6 7 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 3 +--R (- 16a b + 32a b - 16a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 2 +--R (- 20a b + 20a b + 20a b - 20a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 2 11 4 9 +--R (16a b + 48a b - 144a b + 80a b )cos(d x + c) + 18a b + 64a b +--R + +--R 6 7 10 3 +--R - 132a b + 50a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 12 3 10 5 8 5 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 4 +--R (4a b - 10a b + 8a b - 2a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 3 +--R (- 8a b - 56a b + 136a b - 72a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 2 +--R (- 8a b - 52a b + 124a b - 60a b - 4a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 12 +--R (4a b + 64a b + 24a b - 256a b + 164a b )cos(d x + c) + 4a b +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R 62a b + 32a b - 228a b + 92a b + 38a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 2 11 4 9 6 7 6 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 5 +--R (16a b - 32a b + 16a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 4 +--R (10a b - 42a b + 54a b - 22a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 3 +--R (- 32a b - 64a b + 224a b - 128a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (- 26a b - 32a b + 172a b - 144a b + 30a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R (16a b + 96a b - 64a b - 224a b + 176a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 12 +--R 14a b + 78a b - 52a b - 172a b + 118a b + 14a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 3 10 5 8 7 6 6 +--R (6a b - 12a b + 6a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 5 +--R (24a b - 48a b + 24a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 4 +--R (6a b - 46a b + 74a b - 34a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 3 +--R (- 48a b - 16a b + 176a b - 112a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 2 +--R (- 30a b + 16a b + 92a b - 112a b + 34a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 3 10 +--R (24a b + 64a b - 96a b - 96a b + 104a b )cos(d x + c) + 18a b +--R + +--R 5 8 7 6 9 4 11 2 13 +--R 42a b - 68a b - 60a b + 66a b + 2a +--R * +--R 2 +--R sin(d x + c) +--R + +--R 4 9 6 7 8 5 6 +--R (6a b - 12a b + 6a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 5 +--R (16a b - 32a b + 16a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 4 +--R (- 2a b - 16a b + 38a b - 20a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 3 +--R (- 32a b + 16a b + 64a b - 48a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 2 +--R (- 14a b + 20a b + 16a b - 36a b + 14a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 4 9 +--R (16a b + 16a b - 48a b - 16a b + 32a b)cos(d x + c) + 10a b +--R + +--R 6 7 8 5 10 3 12 +--R 8a b - 28a b - 8a b + 18a b +--R * +--R sin(d x + c) +--R + +--R 5 8 7 6 9 4 6 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 5 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 5 8 9 4 11 2 4 +--R (- 2a b + 6a b - 4a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 3 +--R (- 8a b + 8a b + 8a b - 8a b )cos(d x + c) +--R + +--R 5 8 7 6 11 2 13 2 +--R (- 2a b + 4a b - 4a b + 2a )cos(d x + c) +--R + +--R 5 8 9 4 13 5 8 9 4 13 +--R (4a b - 8a b + 4a )cos(d x + c) + 2a b - 4a b + 2a +--R Type: Expression Integer +--E 79 + +--S 80 of 520 +t0015:= 1/(a+b*sin(c+d*x))^4 +--R +--R +--R (44) +--R 1 +--R / +--R 4 4 3 3 2 2 2 +--R b sin(d x + c) + 4a b sin(d x + c) + 6a b sin(d x + c) +--R + +--R 3 4 +--R 4a b sin(d x + c) + a +--R Type: Expression Integer +--E 80 + +--S 81 of 520 +r0015:= a*(2*a^2+3*b^2)*atan((b+a*tan(1/2*c+1/2*d*x))/(a^2-b^2)^(1/2))/(a^2-b^2)^(7/2)/d+1/3*b*cos(c+d*x)/(a^2-b^2)/d/(a+b*sin(c+d*x))^3+5/6*a*b*cos(c+d*x)/(a^2-b^2)^2/d/(a+b*sin(c+d*x))^2+1/6*b*(11*a^2+4*b^2)*cos(c+d*x)/(a^2-b^2)^3/d/(a+b*sin(c+d*x)) +--R +--R +--R (45) +--R 5 3 3 3 2 4 4 2 2 +--R (- 18a b - 12a b )sin(d x + c) + (- 54a b - 36a b )sin(d x + c) +--R + +--R 3 3 5 4 2 6 +--R (- 54a b - 36a b)sin(d x + c) - 18a b - 12a +--R * +--R d x + c +--R a tan(-------) + b +--R 2 +--R atan(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 5 2 3 2 +--R (- 4b - 11a b )cos(d x + c)sin(d x + c) +--R + +--R 4 3 2 +--R (- 3a b - 27a b )cos(d x + c)sin(d x + c) +--R + +--R 5 2 3 4 +--R (- 2b + 5a b - 18a b)cos(d x + c) +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 9 2 7 4 5 6 3 3 +--R (6b - 18a b + 18a b - 6a b )d sin(d x + c) +--R + +--R 8 3 6 5 4 7 2 2 +--R (18a b - 54a b + 54a b - 18a b )d sin(d x + c) +--R + +--R 2 7 4 5 6 3 8 +--R (18a b - 54a b + 54a b - 18a b)d sin(d x + c) +--R + +--R 3 6 5 4 7 2 9 +--R (6a b - 18a b + 18a b - 6a )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 81 + +--S 82 of 520 +a0015:= integrate(t0015,x) +--R +--R +--R (46) +--R [ +--R 4 5 6 3 2 4 5 6 3 8 +--R ((9a b + 6a b )cos(d x + c) - 9a b - 33a b - 18a b)sin(d x + c) +--R + +--R 5 4 7 2 2 5 4 7 2 9 +--R (27a b + 18a b )cos(d x + c) - 27a b - 27a b - 6a +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (b - a )cos(d x + c) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (a b - a )sin(d x + c) + (b - a b)cos(d x + c) + b - a b +--R / +--R b sin(d x + c) + a +--R + +--R 8 2 6 4 4 2 +--R (- 2b + 5a b - 18a b )cos(d x + c) +--R + +--R 4 4 6 2 8 2 6 4 4 6 2 +--R (3a b + 27a b )cos(d x + c) + 2b + a b + 3a b + 54a b +--R * +--R sin(d x + c) +--R + +--R 3 5 5 3 3 +--R (- 4a b - 11a b )cos(d x + c) +--R + +--R 7 3 5 5 3 2 +--R (- 6a b + 15a b - 54a b )cos(d x + c) +--R + +--R 3 5 5 3 7 7 3 5 5 3 7 +--R (6a b + 6a b + 18a b)cos(d x + c) + 6a b - 13a b + 49a b + 18a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 3 9 5 7 7 5 9 3 2 +--R (6a b - 18a b + 18a b - 6a b )d cos(d x + c) +--R + +--R 3 9 7 5 9 3 11 +--R (- 6a b + 36a b - 48a b + 18a b)d +--R * +--R sin(d x + c) +--R + +--R 4 8 6 6 8 4 10 2 2 +--R (18a b - 54a b + 54a b - 18a b )d cos(d x + c) +--R + +--R 4 8 6 6 8 4 12 +--R (- 18a b + 48a b - 36a b + 6a )d +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R , +--R +--R 4 5 6 3 2 4 5 6 3 8 +--R ((18a b + 12a b )cos(d x + c) - 18a b - 66a b - 36a b) +--R * +--R sin(d x + c) +--R + +--R 5 4 7 2 2 5 4 7 2 9 +--R (54a b + 36a b )cos(d x + c) - 54a b - 54a b - 12a +--R * +--R +---------+ +--R | 2 2 +--R (a sin(d x + c) + b cos(d x + c) + b)\|- b + a +--R atan(-------------------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R + +--R 8 2 6 4 4 2 +--R (- 2b + 5a b - 18a b )cos(d x + c) +--R + +--R 4 4 6 2 8 2 6 4 4 6 2 +--R (3a b + 27a b )cos(d x + c) + 2b + a b + 3a b + 54a b +--R * +--R sin(d x + c) +--R + +--R 3 5 5 3 3 +--R (- 4a b - 11a b )cos(d x + c) +--R + +--R 7 3 5 5 3 2 +--R (- 6a b + 15a b - 54a b )cos(d x + c) +--R + +--R 3 5 5 3 7 7 3 5 5 3 7 +--R (6a b + 6a b + 18a b)cos(d x + c) + 6a b - 13a b + 49a b + 18a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 3 9 5 7 7 5 9 3 2 +--R (6a b - 18a b + 18a b - 6a b )d cos(d x + c) +--R + +--R 3 9 7 5 9 3 11 +--R (- 6a b + 36a b - 48a b + 18a b)d +--R * +--R sin(d x + c) +--R + +--R 4 8 6 6 8 4 10 2 2 +--R (18a b - 54a b + 54a b - 18a b )d cos(d x + c) +--R + +--R 4 8 6 6 8 4 12 +--R (- 18a b + 48a b - 36a b + 6a )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 82 + +--S 83 of 520 +m0015a:= a0015.1-r0015 +--R +--R +--R (47) +--R 4 8 6 6 2 4 8 6 6 8 4 4 +--R ((9a b + 6a b )cos(d x + c) - 9a b - 33a b - 18a b )sin(d x + c) +--R + +--R 5 7 7 5 2 5 7 7 5 9 3 +--R ((54a b + 36a b )cos(d x + c) - 54a b - 126a b - 60a b ) +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 6 8 4 2 6 6 8 4 10 2 +--R ((108a b + 72a b )cos(d x + c) - 108a b - 180a b - 72a b ) +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 5 9 3 2 7 5 9 3 11 +--R ((90a b + 60a b )cos(d x + c) - 90a b - 114a b - 36a b) +--R * +--R sin(d x + c) +--R + +--R 8 4 10 2 2 8 4 10 2 12 +--R (27a b + 18a b )cos(d x + c) - 27a b - 27a b - 6a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (b - a )cos(d x + c) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (a b - a )sin(d x + c) + (b - a b)cos(d x + c) + b - a b +--R / +--R b sin(d x + c) + a +--R + +--R 4 8 6 6 2 4 8 6 6 8 4 +--R ((18a b + 12a b )cos(d x + c) - 18a b - 66a b - 36a b ) +--R * +--R 4 +--R sin(d x + c) +--R + +--R 5 7 7 5 2 5 7 7 5 9 3 +--R ((108a b + 72a b )cos(d x + c) - 108a b - 252a b - 120a b ) +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 6 8 4 2 6 6 8 4 10 2 +--R ((216a b + 144a b )cos(d x + c) - 216a b - 360a b - 144a b ) +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 5 9 3 2 7 5 9 3 11 +--R ((180a b + 120a b )cos(d x + c) - 180a b - 228a b - 72a b) +--R * +--R sin(d x + c) +--R + +--R 8 4 10 2 2 8 4 10 2 12 +--R (54a b + 36a b )cos(d x + c) - 54a b - 54a b - 12a +--R * +--R d x + c +--R +-------+ a tan(-------) + b +--R | 2 2 2 +--R \|b - a atan(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 11 2 9 4 7 2 +--R (- 2b + 5a b - 18a b )cos(d x + c) +--R + +--R 4 7 6 5 11 2 9 4 7 6 5 +--R (3a b + 27a b )cos(d x + c) + 2b + a b + 3a b + 54a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 10 3 8 5 6 2 +--R (- 12a b + 30a b - 108a b )cos(d x + c) +--R + +--R 3 8 5 6 7 4 10 3 8 5 6 +--R (2a b - 8a b + 66a b )cos(d x + c) + 12a b - 10a b + 58a b +--R + +--R 7 4 +--R 180a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 4 7 6 5 3 +--R (3a b + 27a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 2 +--R (- 24a b + 60a b - 216a b )cos(d x + c) +--R + +--R 4 7 6 5 8 3 2 9 4 7 6 5 +--R (3a b - 46a b + 43a b )cos(d x + c) + 24a b - 36a b + 156a b +--R + +--R 8 3 +--R 216a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 8 5 6 7 4 3 +--R (2a b - 8a b + 66a b )cos(d x + c) +--R + +--R 3 8 5 6 7 4 2 +--R (- 20a b + 50a b - 180a b )cos(d x + c) +--R + +--R 3 8 5 6 7 4 3 8 5 6 +--R (- 2a b + 8a b - 66a b )cos(d x + c) + 20a b - 38a b +--R + +--R 7 4 9 2 +--R 150a b + 108a b +--R * +--R sin(d x + c) +--R + +--R 4 7 6 5 8 3 3 +--R (6a b - 19a b + 43a b )cos(d x + c) +--R + +--R 4 7 6 5 8 3 2 +--R (- 6a b + 15a b - 54a b )cos(d x + c) +--R + +--R 4 7 6 5 8 3 4 7 6 5 8 3 +--R (- 6a b + 19a b - 43a b )cos(d x + c) + 6a b - 13a b + 49a b +--R + +--R 10 +--R 18a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R 3 12 5 10 7 8 9 6 2 +--R (6a b - 18a b + 18a b - 6a b )d cos(d x + c) +--R + +--R 3 12 7 8 9 6 11 4 +--R (- 6a b + 36a b - 48a b + 18a b )d +--R * +--R 4 +--R sin(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 2 +--R (36a b - 108a b + 108a b - 36a b )d cos(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R (- 36a b + 48a b + 72a b - 144a b + 60a b )d +--R * +--R 3 +--R sin(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 2 +--R (72a b - 216a b + 216a b - 72a b )d cos(d x + c) +--R + +--R 5 10 7 8 11 4 13 2 +--R (- 72a b + 144a b - 144a b + 72a b )d +--R * +--R 2 +--R sin(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 2 +--R (60a b - 180a b + 180a b - 60a b )d cos(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 14 +--R (- 60a b + 144a b - 72a b - 48a b + 36a b)d +--R * +--R sin(d x + c) +--R + +--R 7 8 9 6 11 4 13 2 2 +--R (18a b - 54a b + 54a b - 18a b )d cos(d x + c) +--R + +--R 7 8 9 6 11 4 15 +--R (- 18a b + 48a b - 36a b + 6a )d +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 83 + +--S 84 of 520 +--d0015a:= D(m0015a,x) +--E 84 + +--S 85 of 520 +m0015b:= a0015.2-r0015 +--R +--R +--R (48) +--R 4 8 6 6 2 4 8 6 6 8 4 +--R ((18a b + 12a b )cos(d x + c) - 18a b - 66a b - 36a b ) +--R * +--R 4 +--R sin(d x + c) +--R + +--R 5 7 7 5 2 5 7 7 5 9 3 +--R ((108a b + 72a b )cos(d x + c) - 108a b - 252a b - 120a b ) +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 6 8 4 2 6 6 8 4 10 2 +--R ((216a b + 144a b )cos(d x + c) - 216a b - 360a b - 144a b ) +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 5 9 3 2 7 5 9 3 11 +--R ((180a b + 120a b )cos(d x + c) - 180a b - 228a b - 72a b) +--R * +--R sin(d x + c) +--R + +--R 8 4 10 2 2 8 4 10 2 12 +--R (54a b + 36a b )cos(d x + c) - 54a b - 54a b - 12a +--R * +--R +---------+ +--R | 2 2 +--R (a sin(d x + c) + b cos(d x + c) + b)\|- b + a +--R atan(-------------------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R + +--R 4 8 6 6 2 4 8 6 6 8 4 +--R ((18a b + 12a b )cos(d x + c) - 18a b - 66a b - 36a b ) +--R * +--R 4 +--R sin(d x + c) +--R + +--R 5 7 7 5 2 5 7 7 5 9 3 +--R ((108a b + 72a b )cos(d x + c) - 108a b - 252a b - 120a b ) +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 6 8 4 2 6 6 8 4 10 2 +--R ((216a b + 144a b )cos(d x + c) - 216a b - 360a b - 144a b ) +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 5 9 3 2 7 5 9 3 11 +--R ((180a b + 120a b )cos(d x + c) - 180a b - 228a b - 72a b) +--R * +--R sin(d x + c) +--R + +--R 8 4 10 2 2 8 4 10 2 12 +--R (54a b + 36a b )cos(d x + c) - 54a b - 54a b - 12a +--R * +--R d x + c +--R a tan(-------) + b +--R 2 +--R atan(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 11 2 9 4 7 2 +--R (- 2b + 5a b - 18a b )cos(d x + c) +--R + +--R 4 7 6 5 11 2 9 4 7 6 5 +--R (3a b + 27a b )cos(d x + c) + 2b + a b + 3a b + 54a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 10 3 8 5 6 2 +--R (- 12a b + 30a b - 108a b )cos(d x + c) +--R + +--R 3 8 5 6 7 4 10 3 8 5 6 +--R (2a b - 8a b + 66a b )cos(d x + c) + 12a b - 10a b + 58a b +--R + +--R 7 4 +--R 180a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 4 7 6 5 3 +--R (3a b + 27a b )cos(d x + c) +--R + +--R 2 9 4 7 6 5 2 +--R (- 24a b + 60a b - 216a b )cos(d x + c) +--R + +--R 4 7 6 5 8 3 2 9 4 7 6 5 +--R (3a b - 46a b + 43a b )cos(d x + c) + 24a b - 36a b + 156a b +--R + +--R 8 3 +--R 216a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 8 5 6 7 4 3 +--R (2a b - 8a b + 66a b )cos(d x + c) +--R + +--R 3 8 5 6 7 4 2 +--R (- 20a b + 50a b - 180a b )cos(d x + c) +--R + +--R 3 8 5 6 7 4 3 8 5 6 +--R (- 2a b + 8a b - 66a b )cos(d x + c) + 20a b - 38a b +--R + +--R 7 4 9 2 +--R 150a b + 108a b +--R * +--R sin(d x + c) +--R + +--R 4 7 6 5 8 3 3 +--R (6a b - 19a b + 43a b )cos(d x + c) +--R + +--R 4 7 6 5 8 3 2 +--R (- 6a b + 15a b - 54a b )cos(d x + c) +--R + +--R 4 7 6 5 8 3 4 7 6 5 8 3 +--R (- 6a b + 19a b - 43a b )cos(d x + c) + 6a b - 13a b + 49a b +--R + +--R 10 +--R 18a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 3 12 5 10 7 8 9 6 2 +--R (6a b - 18a b + 18a b - 6a b )d cos(d x + c) +--R + +--R 3 12 7 8 9 6 11 4 +--R (- 6a b + 36a b - 48a b + 18a b )d +--R * +--R 4 +--R sin(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 2 +--R (36a b - 108a b + 108a b - 36a b )d cos(d x + c) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R (- 36a b + 48a b + 72a b - 144a b + 60a b )d +--R * +--R 3 +--R sin(d x + c) +--R + +--R 5 10 7 8 9 6 11 4 2 +--R (72a b - 216a b + 216a b - 72a b )d cos(d x + c) +--R + +--R 5 10 7 8 11 4 13 2 +--R (- 72a b + 144a b - 144a b + 72a b )d +--R * +--R 2 +--R sin(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 2 +--R (60a b - 180a b + 180a b - 60a b )d cos(d x + c) +--R + +--R 6 9 8 7 10 5 12 3 14 +--R (- 60a b + 144a b - 72a b - 48a b + 36a b)d +--R * +--R sin(d x + c) +--R + +--R 7 8 9 6 11 4 13 2 2 +--R (18a b - 54a b + 54a b - 18a b )d cos(d x + c) +--R + +--R 7 8 9 6 11 4 15 +--R (- 18a b + 48a b - 36a b + 6a )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 85 + +--S 86 of 520 +d0015b:= D(m0015b,x) +--R +--R +--R (49) +--R 3 11 5 9 2 3 11 5 9 7 7 +--R ((3a b + 27a b )cos(d x + c) + 3a b + 36a b + 81a b ) +--R * +--R 9 +--R sin(d x + c) +--R + +--R 2 12 4 10 4 +--R (- 9a b - 6a b )cos(d x + c) +--R + +--R 2 12 4 10 3 +--R (6a b + 54a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 2 +--R (26a b + 124a b + 210a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 2 12 4 10 +--R (6a b + 72a b + 162a b )cos(d x + c) - a b + 22a b +--R + +--R 6 8 8 6 +--R 207a b + 252a b +--R * +--R 8 +--R sin(d x + c) +--R + +--R 13 3 11 5 +--R (18a b + 12a b )cos(d x + c) +--R + +--R 13 3 11 5 9 4 +--R (18a b - 78a b - 60a b )cos(d x + c) +--R + +--R 13 3 11 5 9 3 +--R (- 32a b - 118a b + 330a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 2 +--R (- 32a b + 82a b + 894a b + 976a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 13 +--R (22a b + 146a b + 630a b + 882a b )cos(d x + c) + 22a b +--R + +--R 3 11 5 9 7 7 9 5 +--R 64a b + 86a b + 380a b + 168a b +--R * +--R 7 +--R sin(d x + c) +--R + +--R 2 12 4 10 6 +--R (- 9a b - 6a b )cos(d x + c) +--R + +--R 2 12 4 10 5 +--R (174a b + 66a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 4 +--R (199a b - 187a b - 102a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 3 +--R (- 316a b - 946a b + 1082a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 2 +--R (- 337a b - 328a b + 2545a b + 2200a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 +--R (206a b + 828a b + 2050a b + 1956a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R 211a b + 547a b + 437a b + 241a b - 236a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 3 11 5 9 6 +--R (- 99a b - 141a b )cos(d x + c) +--R + +--R 13 3 11 5 9 5 +--R (- 8a b + 740a b + 258a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 4 +--R (- 8a b + 1023a b + 442a b + 583a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 3 +--R (12a b - 1292a b - 2930a b + 2230a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (12a b - 1541a b - 2719a b + 3189a b + 2319a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (- 4a b + 764a b + 2088a b + 3288a b + 2264a b ) +--R * +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R - 4a b + 829a b + 1946a b + 1388a b + 94a b - 413a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 2 12 4 10 7 +--R (- 12a b - 108a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 6 +--R (- 22a b - 419a b - 564a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 5 +--R (- 28a b + 1864a b + 1044a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 4 +--R (- 6a b + 2889a b + 2765a b + 2152a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 3 +--R (72a b - 2852a b - 5022a b + 2702a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (58a b - 3867a b - 7076a b + 839a b + 926a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (- 32a b + 1476a b + 2758a b + 2724a b + 1474a b ) +--R * +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R - 30a b + 1777a b + 3689a b + 2329a b + 389a b - 234a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 3 11 5 9 8 +--R (- 6a b - 54a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 +--R (- 12a b + 24a b - 612a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 6 +--R (- 12a b - 16a b - 874a b - 718a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 5 +--R (24a b - 104a b + 2858a b + 2592a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 4 +--R (24a b + 8a b + 4400a b + 5306a b + 2622a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (- 12a b + 168a b - 3592a b - 5386a b + 1682a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R - 12a b + 88a b - 5450a b - 9376a b - 2184a b +--R + +--R 11 3 +--R - 106a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R (- 88a b + 1638a b + 1866a b + 1070a b + 554a b ) +--R * +--R cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R - 74a b + 2270a b + 3860a b + 2314a b + 570a b - 60a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 12 4 10 6 8 8 +--R (- 6a b + 18a b - 252a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 7 +--R (- 84a b + 320a b - 1316a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 6 +--R (- 66a b + 206a b - 1117a b - 28a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 5 +--R (168a b - 464a b + 2750a b + 3306a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (150a b - 260a b + 3813a b + 4927a b + 1300a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (- 84a b + 240a b - 2372a b - 4022a b + 418a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R - 78a b + 102a b - 4019a b - 7392a b - 2095a b +--R + +--R 12 2 +--R - 198a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 +--R (- 96a b + 1006a b + 504a b + 146a b + 120a b ) +--R * +--R cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 14 +--R - 66a b + 1643a b + 2281a b + 1359a b + 309a b - 6a +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 11 5 9 7 7 8 +--R (- 36a b + 142a b - 406a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 7 +--R (- 180a b + 616a b - 1276a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 6 +--R (- 72a b + 284a b - 743a b + 471a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 5 +--R (360a b - 976a b + 1888a b + 1938a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R (252a b - 720a b + 2367a b + 1754a b + 307a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R (- 180a b + 396a b - 876a b - 1934a b + 14a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R - 144a b + 312a b - 1809a b - 2979a b - 690a b +--R + +--R 13 +--R - 60a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 13 +--R (- 36a b + 264a b - 4a b + 4a b + 12a b)cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 13 +--R - 18a b + 591a b + 754a b + 401a b + 72a b +--R * +--R sin(d x + c) +--R + +--R 4 10 6 8 8 6 8 +--R (- 54a b + 166a b - 232a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 7 +--R (- 108a b + 332a b - 464a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 6 +--R (54a b - 132a b + 45a b + 138a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 5 +--R (216a b - 596a b + 716a b + 384a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 4 +--R (54a b - 166a b + 475a b + 216a b + 36a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 3 +--R (- 108a b + 264a b - 252a b - 384a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 14 +--R (- 54a b + 132a b - 369a b - 462a b - 81a b - 6a ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 8 6 10 4 12 2 14 +--R 81a b + 108a b + 45a b + 6a +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 12 4 10 2 2 12 4 10 6 8 +--R ((6a b + 54a b )cos(d x + c) + 6a b + 72a b + 162a b ) +--R * +--R 9 +--R sin(d x + c) +--R + +--R 13 3 11 4 +--R (- 36a b - 24a b )cos(d x + c) +--R + +--R 13 3 11 3 +--R (12a b + 108a b )cos(d x + c) +--R + +--R 13 3 11 5 9 2 +--R (88a b + 380a b + 492a b )cos(d x + c) +--R + +--R 13 3 11 5 9 13 3 11 +--R (12a b + 144a b + 324a b )cos(d x + c) - 20a b - 76a b +--R + +--R 5 9 7 7 +--R 180a b + 396a b +--R * +--R 8 +--R sin(d x + c) +--R + +--R 2 12 4 10 4 +--R (- 360a b - 240a b )cos(d x + c) +--R + +--R 14 2 12 4 10 3 +--R (8b + 28a b + 804a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 2 +--R (8b + 788a b + 2964a b + 2480a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 14 +--R (8b + 52a b + 792a b + 1548a b )cos(d x + c) + 8b +--R + +--R 2 12 4 10 6 8 8 6 +--R - 292a b - 1208a b - 740a b - 168a b +--R * +--R 7 +--R sin(d x + c) +--R + +--R 13 3 11 6 +--R (- 36a b - 24a b )cos(d x + c) +--R + +--R 13 3 11 5 +--R (- 48a b - 132a b )cos(d x + c) +--R + +--R 13 3 11 5 9 4 +--R (56a b - 1196a b - 600a b )cos(d x + c) +--R + +--R 13 3 11 5 9 3 +--R (160a b + 436a b + 3364a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 2 +--R (64a b + 2824a b + 9116a b + 5756a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 13 +--R (16a b - 408a b + 1064a b + 2688a b )cos(d x + c) + 44a b +--R + +--R 3 11 5 9 7 7 9 5 +--R - 1552a b - 4592a b - 3520a b - 1420a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 2 12 4 10 6 +--R (- 378a b - 402a b )cos(d x + c) +--R + +--R 14 2 12 4 10 5 +--R (- 16b - 284a b - 660a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 4 +--R (- 16b + 822a b - 508a b + 782a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 3 +--R (24b + 944a b + 2468a b + 8444a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 8 6 2 +--R (24b - 94a b + 3682a b + 13398a b + 6150a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 8 6 +--R (- 8b - 236a b - 2976a b - 1764a b + 1624a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R - 8b + 74a b - 3716a b - 8216a b - 5596a b - 1738a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 13 3 11 7 +--R (- 24a b - 216a b )cos(d x + c) +--R + +--R 13 3 11 5 9 6 +--R (- 44a b - 1540a b - 1596a b )cos(d x + c) +--R + +--R 13 3 11 5 9 5 +--R (- 56a b - 412a b - 672a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 4 +--R (- 12a b + 3744a b + 4948a b + 4820a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 3 +--R (144a b + 2576a b + 5916a b + 12364a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (116a b - 1560a b - 1144a b + 8380a b + 2368a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (- 64a b - 1188a b - 7684a b - 7092a b - 772a b ) +--R * +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R - 60a b + 116a b - 4580a b - 8140a b - 4160a b - 936a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 2 12 4 10 8 +--R (- 12a b - 108a b )cos(d x + c) +--R + +--R 14 2 12 4 10 7 +--R (- 24b + 48a b - 1224a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 6 +--R (- 24b - 32a b - 3116a b - 2348a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 5 +--R (48b - 208a b + 136a b + 1464a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 8 6 4 +--R (48b + 16a b + 7324a b + 11896a b + 6756a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 8 6 +--R (- 24b + 336a b + 3976a b + 7108a b + 10324a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 8 6 +--R - 24b + 176a b - 3844a b - 8144a b - 1008a b +--R + +--R 10 4 +--R - 596a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (- 176a b - 2304a b - 10428a b - 8960a b - 1652a b ) +--R * +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R - 148a b + 328a b - 3260a b - 4384a b - 1416a b - 240a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 13 3 11 5 9 8 +--R (- 12a b + 36a b - 504a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 +--R (- 168a b + 640a b - 2632a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 6 +--R (- 132a b + 412a b - 3656a b - 1004a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 5 +--R (336a b - 928a b + 1144a b + 3708a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (300a b - 520a b + 7536a b + 11828a b + 3956a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (- 168a b + 480a b + 3968a b + 3740a b + 4820a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R - 156a b + 204a b - 3592a b - 9912a b - 3512a b +--R + +--R 11 3 +--R - 792a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R (- 192a b - 2344a b - 7872a b - 5456a b - 936a b ) +--R * +--R cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R - 132a b + 352a b - 1336a b - 1080a b - 180a b - 24a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2 12 4 10 6 8 8 +--R (- 72a b + 284a b - 812a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 7 +--R (- 360a b + 1232a b - 2552a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 6 +--R (- 144a b + 568a b - 2242a b + 438a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 5 +--R (720a b - 1952a b + 1940a b + 2652a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (504a b - 1440a b + 5166a b + 4588a b + 1142a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (- 360a b + 792a b + 1920a b + 380a b + 1228a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R - 288a b + 624a b - 2214a b - 4806a b - 1416a b +--R + +--R 12 2 +--R - 240a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 +--R (- 72a b - 1308a b - 3032a b - 1588a b - 240a b ) +--R * +--R cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 +--R - 36a b + 102a b - 220a b - 86a b +--R * +--R sin(d x + c) +--R + +--R 3 11 5 9 7 7 8 +--R (- 108a b + 332a b - 464a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 7 +--R (- 216a b + 664a b - 928a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 6 +--R (108a b - 264a b - 72a b + 168a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 5 +--R (432a b - 1192a b + 1108a b + 552a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 4 +--R (108a b - 332a b + 1112a b + 648a b + 144a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (- 216a b + 528a b + 144a b - 120a b + 144a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R (- 108a b + 264a b - 576a b - 816a b - 180a b - 24a b) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 7 7 9 5 11 3 13 +--R (- 324a b - 432a b - 180a b - 24a b)cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 3 11 5 9 2 3 11 5 9 7 7 9 +--R ((3a b + 27a b )cos(d x + c) + 3a b + 36a b + 81a b )sin(d x + c) +--R + +--R 2 12 4 10 4 2 12 4 10 3 +--R (- 9a b - 6a b )cos(d x + c) + (6a b + 54a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 2 +--R (26a b + 124a b + 210a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 2 12 4 10 6 8 +--R (6a b + 72a b + 162a b )cos(d x + c) - a b + 22a b + 207a b +--R + +--R 8 6 +--R 252a b +--R * +--R 8 +--R sin(d x + c) +--R + +--R 13 3 11 5 +--R (18a b + 12a b )cos(d x + c) +--R + +--R 13 3 11 5 9 4 +--R (18a b - 78a b - 60a b )cos(d x + c) +--R + +--R 13 3 11 5 9 3 +--R (- 32a b - 118a b + 330a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 2 +--R (- 32a b + 82a b + 894a b + 976a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 13 +--R (22a b + 146a b + 630a b + 882a b )cos(d x + c) + 22a b +--R + +--R 3 11 5 9 7 7 9 5 +--R 64a b + 86a b + 380a b + 168a b +--R * +--R 7 +--R sin(d x + c) +--R + +--R 2 12 4 10 6 2 12 4 10 5 +--R (- 9a b - 6a b )cos(d x + c) + (174a b + 66a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 4 +--R (199a b - 187a b - 102a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 3 +--R (- 316a b - 946a b + 1082a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 2 +--R (- 337a b - 328a b + 2545a b + 2200a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 2 12 +--R (206a b + 828a b + 2050a b + 1956a b )cos(d x + c) + 211a b +--R + +--R 4 10 6 8 8 6 10 4 +--R 547a b + 437a b + 241a b - 236a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 3 11 5 9 6 +--R (- 99a b - 141a b )cos(d x + c) +--R + +--R 13 3 11 5 9 5 +--R (- 8a b + 740a b + 258a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 4 +--R (- 8a b + 1023a b + 442a b + 583a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 3 +--R (12a b - 1292a b - 2930a b + 2230a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 2 +--R (12a b - 1541a b - 2719a b + 3189a b + 2319a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (- 4a b + 764a b + 2088a b + 3288a b + 2264a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R - 4a b + 829a b + 1946a b + 1388a b + 94a b - 413a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 2 12 4 10 7 +--R (- 12a b - 108a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 6 +--R (- 22a b - 419a b - 564a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 5 +--R (- 28a b + 1864a b + 1044a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 4 +--R (- 6a b + 2889a b + 2765a b + 2152a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 3 +--R (72a b - 2852a b - 5022a b + 2702a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 2 +--R (58a b - 3867a b - 7076a b + 839a b + 926a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (- 32a b + 1476a b + 2758a b + 2724a b + 1474a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R - 30a b + 1777a b + 3689a b + 2329a b + 389a b - 234a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 3 11 5 9 8 +--R (- 6a b - 54a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 +--R (- 12a b + 24a b - 612a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 6 +--R (- 12a b - 16a b - 874a b - 718a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 5 +--R (24a b - 104a b + 2858a b + 2592a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 4 +--R (24a b + 8a b + 4400a b + 5306a b + 2622a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (- 12a b + 168a b - 3592a b - 5386a b + 1682a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (- 12a b + 88a b - 5450a b - 9376a b - 2184a b - 106a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R (- 88a b + 1638a b + 1866a b + 1070a b + 554a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R - 74a b + 2270a b + 3860a b + 2314a b + 570a b - 60a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 12 4 10 6 8 8 +--R (- 6a b + 18a b - 252a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 7 +--R (- 84a b + 320a b - 1316a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 6 +--R (- 66a b + 206a b - 1117a b - 28a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 5 +--R (168a b - 464a b + 2750a b + 3306a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 4 +--R (150a b - 260a b + 3813a b + 4927a b + 1300a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 3 +--R (- 84a b + 240a b - 2372a b - 4022a b + 418a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (- 78a b + 102a b - 4019a b - 7392a b - 2095a b - 198a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 +--R (- 96a b + 1006a b + 504a b + 146a b + 120a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 14 +--R - 66a b + 1643a b + 2281a b + 1359a b + 309a b - 6a +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 11 5 9 7 7 8 +--R (- 36a b + 142a b - 406a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 7 +--R (- 180a b + 616a b - 1276a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 6 +--R (- 72a b + 284a b - 743a b + 471a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 5 +--R (360a b - 976a b + 1888a b + 1938a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 4 +--R (252a b - 720a b + 2367a b + 1754a b + 307a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (- 180a b + 396a b - 876a b - 1934a b + 14a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R (- 144a b + 312a b - 1809a b - 2979a b - 690a b - 60a b) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 13 5 9 +--R (- 36a b + 264a b - 4a b + 4a b + 12a b)cos(d x + c) - 18a b +--R + +--R 7 7 9 5 11 3 13 +--R 591a b + 754a b + 401a b + 72a b +--R * +--R sin(d x + c) +--R + +--R 4 10 6 8 8 6 8 +--R (- 54a b + 166a b - 232a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 7 +--R (- 108a b + 332a b - 464a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 6 +--R (54a b - 132a b + 45a b + 138a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 5 +--R (216a b - 596a b + 716a b + 384a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 4 +--R (54a b - 166a b + 475a b + 216a b + 36a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 3 +--R (- 108a b + 264a b - 252a b - 384a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 14 2 +--R (- 54a b + 132a b - 369a b - 462a b - 81a b - 6a )cos(d x + c) +--R + +--R 8 6 10 4 12 2 14 +--R 81a b + 108a b + 45a b + 6a +--R / +--R 2 16 4 14 6 12 8 10 4 +--R (6a b - 18a b + 18a b - 6a b )cos(d x + c) +--R + +--R 2 16 6 12 8 10 10 8 2 2 16 +--R (- 12a b + 72a b - 96a b + 36a b )cos(d x + c) + 6a b +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R 18a b - 36a b - 60a b + 126a b - 54a b +--R * +--R 8 +--R sin(d x + c) +--R + +--R 17 3 15 5 13 7 11 5 +--R (12a b - 36a b + 36a b - 12a b )cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 4 +--R (12a b + 24a b - 144a b + 168a b - 60a b )cos(d x + c) +--R + +--R 17 5 13 7 11 9 9 3 +--R (- 24a b + 144a b - 192a b + 72a b )cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 +--R - 24a b - 120a b + 240a b + 240a b - 600a b +--R + +--R 11 7 +--R 264a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 11 7 +--R (12a b + 36a b - 72a b - 120a b + 252a b - 108a b ) +--R * +--R cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 11 7 +--R 12a b + 96a b + 12a b - 480a b + 228a b + 384a b +--R + +--R 13 5 +--R - 252a b +--R * +--R 7 +--R sin(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 6 +--R (6a b - 18a b + 18a b - 6a b )cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 5 +--R (132a b - 396a b + 396a b - 132a b )cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R (114a b - 144a b - 252a b + 480a b - 198a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R (- 264a b + 192a b + 1008a b - 1536a b + 600a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R - 246a b - 258a b + 1572a b - 708a b - 1038a b +--R + +--R 12 6 +--R 678a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R 132a b + 204a b - 792a b - 168a b + 1236a b +--R + +--R 12 6 +--R - 612a b +--R * +--R cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 12 6 +--R 126a b + 420a b - 726a b - 1128a b + 1650a b + 132a b +--R + +--R 14 4 +--R - 474a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 6 +--R (60a b - 180a b + 180a b - 60a b )cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 5 +--R (588a b - 1764a b + 1764a b - 588a b )cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R (408a b - 1032a b + 648a b + 168a b - 192a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R (- 1176a b + 1536a b + 2448a b - 4800a b + 1992a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R - 996a b + 612a b + 3384a b - 3864a b + 108a b +--R + +--R 13 5 +--R 756a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R 588a b + 228a b - 2760a b + 1032a b + 2364a b +--R + +--R 13 5 +--R - 1452a b +--R * +--R cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 13 5 +--R 528a b + 600a b - 2760a b - 144a b + 3072a b - 840a b +--R + +--R 15 3 +--R - 456a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 6 +--R (234a b - 702a b + 702a b - 234a b )cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 5 +--R (1380a b - 4140a b + 4140a b - 1380a b )cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R (678a b - 2292a b + 2808a b - 1452a b + 258a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R (- 2760a b + 4800a b + 2160a b - 7680a b + 3480a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R - 2058a b + 3210a b + 2460a b - 6060a b + 2190a b +--R + +--R 14 4 +--R 258a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R 1380a b - 660a b - 4440a b + 3480a b + 2100a b +--R + +--R 14 4 +--R - 1860a b +--R * +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R 1146a b - 216a b - 4110a b + 2400a b + 2430a b +--R + +--R 14 4 16 2 +--R - 1416a b - 234a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 6 +--R (456a b - 1368a b + 1368a b - 456a b )cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 5 +--R (1860a b - 5580a b + 5580a b - 1860a b )cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R (492a b - 2232a b + 3744a b - 2760a b + 756a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R (- 3720a b + 7680a b - 720a b - 6720a b + 3480a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R - 2352a b + 5088a b - 960a b - 4128a b + 2544a b +--R + +--R 15 3 +--R - 192a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R 1860a b - 2100a b - 3480a b + 4440a b + 660a b +--R + +--R 15 3 +--R - 1380a b +--R * +--R cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R 1404a b - 1488a b - 2772a b + 3264a b + 660a b +--R + +--R 15 3 17 +--R - 1008a b - 60a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 6 +--R (474a b - 1422a b + 1422a b - 474a b )cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 5 +--R (1452a b - 4356a b + 4356a b - 1452a b )cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R (30a b - 768a b + 2124a b - 2064a b + 678a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R (- 2904a b + 6720a b - 2736a b - 3072a b + 1992a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R - 1482a b + 3810a b - 2340a b - 1020a b + 1230a b +--R + +--R 16 2 +--R - 198a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R 1452a b - 2364a b - 1032a b + 2760a b - 228a b +--R + +--R 16 2 +--R - 588a b +--R * +--R cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 16 2 +--R 978a b - 1620a b - 618a b + 1800a b - 162a b - 372a b +--R + +--R 18 +--R - 6a +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 6 +--R (252a b - 756a b + 756a b - 252a b )cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 5 +--R (612a b - 1836a b + 1836a b - 612a b )cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 +--R (- 144a b + 168a b + 360a b - 648a b + 264a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 +--R (- 1224a b + 3072a b - 1872a b - 576a b + 600a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 +--R - 468a b + 1332a b - 1128a b + 72a b + 252a b +--R + +--R 17 +--R - 60a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 +--R 612a b - 1236a b + 168a b + 792a b - 204a b +--R + +--R 17 +--R - 132a b +--R * +--R cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 17 +--R 360a b - 744a b + 144a b + 432a b - 120a b - 72a b +--R * +--R sin(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 6 +--R (54a b - 162a b + 162a b - 54a b )cos(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 5 +--R (108a b - 324a b + 324a b - 108a b )cos(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 16 2 4 +--R (- 54a b + 126a b - 54a b - 54a b + 36a b )cos(d x + c) +--R + +--R 8 10 10 8 12 6 16 2 3 +--R (- 216a b + 576a b - 432a b + 72a b )cos(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 16 2 18 +--R (- 54a b + 162a b - 156a b + 36a b + 18a b - 6a ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 16 2 18 +--R (108a b - 252a b + 120a b + 72a b - 36a b - 12a ) +--R * +--R cos(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 16 2 18 +--R 54a b - 126a b + 60a b + 36a b - 18a b - 6a +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 17 3 15 5 13 7 11 4 +--R (12a b - 36a b + 36a b - 12a b )cos(d x + c) +--R + +--R 17 5 13 7 11 9 9 2 17 +--R (- 24a b + 144a b - 192a b + 72a b )cos(d x + c) + 12a b +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R 36a b - 72a b - 120a b + 252a b - 108a b +--R * +--R 8 +--R sin(d x + c) +--R + +--R 18 2 16 4 14 6 12 5 +--R (24b - 72a b + 72a b - 24a b )cos(d x + c) +--R + +--R 18 2 16 4 14 6 12 8 10 4 +--R (24b + 48a b - 288a b + 336a b - 120a b )cos(d x + c) +--R + +--R 18 4 14 6 12 8 10 3 +--R (- 48b + 288a b - 384a b + 144a b )cos(d x + c) +--R + +--R 18 2 16 4 14 6 12 8 10 +--R - 48b - 240a b + 480a b + 480a b - 1200a b +--R + +--R 10 8 +--R 528a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 18 2 16 4 14 6 12 8 10 10 8 +--R (24b + 72a b - 144a b - 240a b + 504a b - 216a b ) +--R * +--R cos(d x + c) +--R + +--R 18 2 16 4 14 6 12 8 10 10 8 +--R 24b + 192a b + 24a b - 960a b + 456a b + 768a b +--R + +--R 12 6 +--R - 504a b +--R * +--R 7 +--R sin(d x + c) +--R + +--R 17 3 15 5 13 7 11 6 +--R (12a b - 36a b + 36a b - 12a b )cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 5 +--R (264a b - 792a b + 792a b - 264a b )cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 +--R (228a b - 288a b - 504a b + 960a b - 396a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 +--R (- 528a b + 384a b + 2016a b - 3072a b + 1200a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 +--R - 492a b - 516a b + 3144a b - 1416a b - 2076a b +--R + +--R 11 7 +--R 1356a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 +--R 264a b + 408a b - 1584a b - 336a b + 2472a b +--R + +--R 11 7 +--R - 1224a b +--R * +--R cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 11 7 +--R 252a b + 840a b - 1452a b - 2256a b + 3300a b + 264a b +--R + +--R 13 5 +--R - 948a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 6 +--R (120a b - 360a b + 360a b - 120a b )cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 5 +--R (1176a b - 3528a b + 3528a b - 1176a b )cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R (816a b - 2064a b + 1296a b + 336a b - 384a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R (- 2352a b + 3072a b + 4896a b - 9600a b + 3984a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R - 1992a b + 1224a b + 6768a b - 7728a b + 216a b +--R + +--R 12 6 +--R 1512a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R 1176a b + 456a b - 5520a b + 2064a b + 4728a b +--R + +--R 12 6 +--R - 2904a b +--R * +--R cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R 1056a b + 1200a b - 5520a b - 288a b + 6144a b +--R + +--R 12 6 14 4 +--R - 1680a b - 912a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 6 +--R (468a b - 1404a b + 1404a b - 468a b )cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 5 +--R (2760a b - 8280a b + 8280a b - 2760a b )cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R (1356a b - 4584a b + 5616a b - 2904a b + 516a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R (- 5520a b + 9600a b + 4320a b - 15360a b + 6960a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R - 4116a b + 6420a b + 4920a b - 12120a b + 4380a b +--R + +--R 13 5 +--R 516a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R 2760a b - 1320a b - 8880a b + 6960a b + 4200a b +--R + +--R 13 5 +--R - 3720a b +--R * +--R cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R 2292a b - 432a b - 8220a b + 4800a b + 4860a b +--R + +--R 13 5 15 3 +--R - 2832a b - 468a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 6 +--R (912a b - 2736a b + 2736a b - 912a b )cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 5 +--R (3720a b - 11160a b + 11160a b - 3720a b )cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R (984a b - 4464a b + 7488a b - 5520a b + 1512a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R (- 7440a b + 15360a b - 1440a b - 13440a b + 6960a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R - 4704a b + 10176a b - 1920a b - 8256a b + 5088a b +--R + +--R 14 4 +--R - 384a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R 3720a b - 4200a b - 6960a b + 8880a b + 1320a b +--R + +--R 14 4 +--R - 2760a b +--R * +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R 2808a b - 2976a b - 5544a b + 6528a b + 1320a b +--R + +--R 14 4 16 2 +--R - 2016a b - 120a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 6 +--R (948a b - 2844a b + 2844a b - 948a b )cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 5 +--R (2904a b - 8712a b + 8712a b - 2904a b )cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R (60a b - 1536a b + 4248a b - 4128a b + 1356a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R (- 5808a b + 13440a b - 5472a b - 6144a b + 3984a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R - 2964a b + 7620a b - 4680a b - 2040a b + 2460a b +--R + +--R 15 3 +--R - 396a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R 2904a b - 4728a b - 2064a b + 5520a b - 456a b +--R + +--R 15 3 +--R - 1176a b +--R * +--R cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R 1956a b - 3240a b - 1236a b + 3600a b - 324a b +--R + +--R 15 3 17 +--R - 744a b - 12a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 6 +--R (504a b - 1512a b + 1512a b - 504a b )cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 5 +--R (1224a b - 3672a b + 3672a b - 1224a b )cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R (- 288a b + 336a b + 720a b - 1296a b + 528a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R (- 2448a b + 6144a b - 3744a b - 1152a b + 1200a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R - 936a b + 2664a b - 2256a b + 144a b + 504a b +--R + +--R 16 2 +--R - 120a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R 1224a b - 2472a b + 336a b + 1584a b - 408a b +--R + +--R 16 2 +--R - 264a b +--R * +--R cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 16 2 +--R 720a b - 1488a b + 288a b + 864a b - 240a b - 144a b +--R * +--R sin(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 6 +--R (108a b - 324a b + 324a b - 108a b )cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 5 +--R (216a b - 648a b + 648a b - 216a b )cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 4 +--R (- 108a b + 252a b - 108a b - 108a b + 72a b )cos(d x + c) +--R + +--R 7 11 9 9 11 7 15 3 3 +--R (- 432a b + 1152a b - 864a b + 144a b )cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 17 +--R (- 108a b + 324a b - 312a b + 72a b + 36a b - 12a b) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 17 +--R (216a b - 504a b + 240a b + 144a b - 72a b - 24a b) +--R * +--R cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 17 +--R 108a b - 252a b + 120a b + 72a b - 36a b - 12a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 16 4 14 6 12 8 10 4 +--R (6a b - 18a b + 18a b - 6a b )cos(d x + c) +--R + +--R 2 16 6 12 8 10 10 8 2 2 16 +--R (- 12a b + 72a b - 96a b + 36a b )cos(d x + c) + 6a b +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R 18a b - 36a b - 60a b + 126a b - 54a b +--R * +--R 8 +--R sin(d x + c) +--R + +--R 17 3 15 5 13 7 11 5 +--R (12a b - 36a b + 36a b - 12a b )cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 4 +--R (12a b + 24a b - 144a b + 168a b - 60a b )cos(d x + c) +--R + +--R 17 5 13 7 11 9 9 3 +--R (- 24a b + 144a b - 192a b + 72a b )cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 11 7 +--R (- 24a b - 120a b + 240a b + 240a b - 600a b + 264a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 11 7 +--R (12a b + 36a b - 72a b - 120a b + 252a b - 108a b ) +--R * +--R cos(d x + c) +--R + +--R 17 3 15 5 13 7 11 9 9 11 7 13 5 +--R 12a b + 96a b + 12a b - 480a b + 228a b + 384a b - 252a b +--R * +--R 7 +--R sin(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 6 +--R (6a b - 18a b + 18a b - 6a b )cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 5 +--R (132a b - 396a b + 396a b - 132a b )cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 4 +--R (114a b - 144a b - 252a b + 480a b - 198a b )cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R (- 264a b + 192a b + 1008a b - 1536a b + 600a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R - 246a b - 258a b + 1572a b - 708a b - 1038a b +--R + +--R 12 6 +--R 678a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 12 6 +--R (132a b + 204a b - 792a b - 168a b + 1236a b - 612a b ) +--R * +--R cos(d x + c) +--R + +--R 2 16 4 14 6 12 8 10 10 8 12 6 +--R 126a b + 420a b - 726a b - 1128a b + 1650a b + 132a b +--R + +--R 14 4 +--R - 474a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 6 +--R (60a b - 180a b + 180a b - 60a b )cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 5 +--R (588a b - 1764a b + 1764a b - 588a b )cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 4 +--R (408a b - 1032a b + 648a b + 168a b - 192a b )cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R (- 1176a b + 1536a b + 2448a b - 4800a b + 1992a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R - 996a b + 612a b + 3384a b - 3864a b + 108a b +--R + +--R 13 5 +--R 756a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R 588a b + 228a b - 2760a b + 1032a b + 2364a b +--R + +--R 13 5 +--R - 1452a b +--R * +--R cos(d x + c) +--R + +--R 3 15 5 13 7 11 9 9 11 7 13 5 +--R 528a b + 600a b - 2760a b - 144a b + 3072a b - 840a b +--R + +--R 15 3 +--R - 456a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 6 +--R (234a b - 702a b + 702a b - 234a b )cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 5 +--R (1380a b - 4140a b + 4140a b - 1380a b )cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R (678a b - 2292a b + 2808a b - 1452a b + 258a b ) +--R * +--R 4 +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R (- 2760a b + 4800a b + 2160a b - 7680a b + 3480a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R - 2058a b + 3210a b + 2460a b - 6060a b + 2190a b +--R + +--R 14 4 +--R 258a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R 1380a b - 660a b - 4440a b + 3480a b + 2100a b +--R + +--R 14 4 +--R - 1860a b +--R * +--R cos(d x + c) +--R + +--R 4 14 6 12 8 10 10 8 12 6 14 4 +--R 1146a b - 216a b - 4110a b + 2400a b + 2430a b - 1416a b +--R + +--R 16 2 +--R - 234a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 6 +--R (456a b - 1368a b + 1368a b - 456a b )cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 5 +--R (1860a b - 5580a b + 5580a b - 1860a b )cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 4 +--R (492a b - 2232a b + 3744a b - 2760a b + 756a b )cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R (- 3720a b + 7680a b - 720a b - 6720a b + 3480a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R - 2352a b + 5088a b - 960a b - 4128a b + 2544a b +--R + +--R 15 3 +--R - 192a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R 1860a b - 2100a b - 3480a b + 4440a b + 660a b +--R + +--R 15 3 +--R - 1380a b +--R * +--R cos(d x + c) +--R + +--R 5 13 7 11 9 9 11 7 13 5 15 3 +--R 1404a b - 1488a b - 2772a b + 3264a b + 660a b - 1008a b +--R + +--R 17 +--R - 60a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 6 +--R (474a b - 1422a b + 1422a b - 474a b )cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 5 +--R (1452a b - 4356a b + 4356a b - 1452a b )cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 4 +--R (30a b - 768a b + 2124a b - 2064a b + 678a b )cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R (- 2904a b + 6720a b - 2736a b - 3072a b + 1992a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R - 1482a b + 3810a b - 2340a b - 1020a b + 1230a b +--R + +--R 16 2 +--R - 198a b +--R * +--R 2 +--R cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R 1452a b - 2364a b - 1032a b + 2760a b - 228a b +--R + +--R 16 2 +--R - 588a b +--R * +--R cos(d x + c) +--R + +--R 6 12 8 10 10 8 12 6 14 4 16 2 +--R 978a b - 1620a b - 618a b + 1800a b - 162a b - 372a b +--R + +--R 18 +--R - 6a +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 6 +--R (252a b - 756a b + 756a b - 252a b )cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 5 +--R (612a b - 1836a b + 1836a b - 612a b )cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 4 +--R (- 144a b + 168a b + 360a b - 648a b + 264a b )cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 +--R (- 1224a b + 3072a b - 1872a b - 576a b + 600a b ) +--R * +--R 3 +--R cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 17 +--R (- 468a b + 1332a b - 1128a b + 72a b + 252a b - 60a b) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 17 +--R (612a b - 1236a b + 168a b + 792a b - 204a b - 132a b) +--R * +--R cos(d x + c) +--R + +--R 7 11 9 9 11 7 13 5 15 3 17 +--R 360a b - 744a b + 144a b + 432a b - 120a b - 72a b +--R * +--R sin(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 6 +--R (54a b - 162a b + 162a b - 54a b )cos(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 5 +--R (108a b - 324a b + 324a b - 108a b )cos(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 16 2 4 +--R (- 54a b + 126a b - 54a b - 54a b + 36a b )cos(d x + c) +--R + +--R 8 10 10 8 12 6 16 2 3 +--R (- 216a b + 576a b - 432a b + 72a b )cos(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 16 2 18 2 +--R (- 54a b + 162a b - 156a b + 36a b + 18a b - 6a )cos(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 16 2 18 +--R (108a b - 252a b + 120a b + 72a b - 36a b - 12a )cos(d x + c) +--R + +--R 8 10 10 8 12 6 14 4 16 2 18 +--R 54a b - 126a b + 60a b + 36a b - 18a b - 6a +--R Type: Expression Integer +--E 86 + +--S 87 of 520 +t0016:= 1/(1+sin(c+d*x))^2 +--R +--R +--R 1 +--R (50) --------------------------------- +--R 2 +--R sin(d x + c) + 2sin(d x + c) + 1 +--R Type: Expression Integer +--E 87 + +--S 88 of 520 +r0016:= 1/3/cos(c+d*x)^3/d*(2*sin(c+d*x)-2+cos(c+d*x)^2*sin(c+d*x)) +--R +--R +--R 2 +--R (cos(d x + c) + 2)sin(d x + c) - 2 +--R (51) ----------------------------------- +--R 3 +--R 3d cos(d x + c) +--R Type: Expression Integer +--E 88 + +--S 89 of 520 +a0016:= integrate(t0016,x) +--R +--R +--R (52) +--R 2 +--R (- 3cos(d x + c) - 3)sin(d x + c) + cos(d x + c) - 4cos(d x + c) - 5 +--R ---------------------------------------------------------------------------- +--R 2 +--R (3d cos(d x + c) + 6d)sin(d x + c) - 3d cos(d x + c) + 3d cos(d x + c) + 6d +--R Type: Union(Expression Integer,...) +--E 89 + +--S 90 of 520 +m0016:= a0016-r0016 +--R +--R +--R (53) +--R 3 2 2 +--R (- cos(d x + c) - 2cos(d x + c) - 2cos(d x + c) - 4)sin(d x + c) +--R + +--R 4 3 5 +--R (- 2cos(d x + c) - 4cos(d x + c) )sin(d x + c) + cos(d x + c) +--R + +--R 4 3 2 +--R - 4cos(d x + c) - 5cos(d x + c) - 2cos(d x + c) + 2cos(d x + c) + 4 +--R / +--R 4 3 5 +--R (3d cos(d x + c) + 6d cos(d x + c) )sin(d x + c) - 3d cos(d x + c) +--R + +--R 4 3 +--R 3d cos(d x + c) + 6d cos(d x + c) +--R Type: Expression Integer +--E 90 + +--S 91 of 520 +d0016:= D(m0016,x) +--R +--R +--R (54) +--R 4 3 2 +--R - cos(d x + c) - 4cos(d x + c) - 10cos(d x + c) - 24cos(d x + c) +--R + +--R - 24 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 5 4 3 2 +--R 2cos(d x + c) + 5cos(d x + c) + 4cos(d x + c) + 10cos(d x + c) +--R + +--R - 24cos(d x + c) - 24 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 4 3 2 +--R - 3cos(d x + c) - 12cos(d x + c) - 6cos(d x + c) + 24cos(d x + c) +--R + +--R 24 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 6 5 4 +--R 2cos(d x + c) + 5cos(d x + c) + 2cos(d x + c) + 5cos(d x + c) +--R + +--R 3 2 +--R - 28cos(d x + c) - 34cos(d x + c) + 24cos(d x + c) + 24 +--R * +--R sin(d x + c) +--R + +--R 8 7 6 5 +--R cos(d x + c) + 4cos(d x + c) + 5cos(d x + c) + 4cos(d x + c) +--R + +--R 4 3 2 +--R 2cos(d x + c) - 8cos(d x + c) - 8cos(d x + c) +--R / +--R 6 5 4 2 +--R (3cos(d x + c) + 12cos(d x + c) + 12cos(d x + c) )sin(d x + c) +--R + +--R 7 6 5 4 +--R (- 6cos(d x + c) - 6cos(d x + c) + 24cos(d x + c) + 24cos(d x + c) ) +--R * +--R sin(d x + c) +--R + +--R 8 7 6 5 +--R 3cos(d x + c) - 6cos(d x + c) - 9cos(d x + c) + 12cos(d x + c) +--R + +--R 4 +--R 12cos(d x + c) +--R Type: Expression Integer +--E 91 + +--S 92 of 520 +t0017:= 1/(1+sin(c+d*x))^3 +--R +--R +--R 1 +--R (55) -------------------------------------------------- +--R 3 2 +--R sin(d x + c) + 3sin(d x + c) + 3sin(d x + c) + 1 +--R Type: Expression Integer +--E 92 + +--S 93 of 520 +r0017:= 1/15/cos(c+d*x)^5*(12*sin(c+d*x)+cos(c+d*x)^2*sin(c+d*x)-12+5*cos(c+d*x)^2+2*cos(c+d*x)^4*sin(c+d*x))/d +--R +--R +--R (56) +--R 4 2 2 +--R (2cos(d x + c) + cos(d x + c) + 12)sin(d x + c) + 5cos(d x + c) - 12 +--R ----------------------------------------------------------------------- +--R 5 +--R 15d cos(d x + c) +--R Type: Expression Integer +--E 93 + +--S 94 of 520 +a0017:= integrate(t0017,x) +--R +--R +--R (57) +--R 2 3 +--R (- 5cos(d x + c) + 20cos(d x + c) + 25)sin(d x + c) - 9cos(d x + c) +--R + +--R 2 +--R - 17cos(d x + c) + 23cos(d x + c) + 31 +--R / +--R 2 +--R (15d cos(d x + c) - 30d cos(d x + c) - 60d)sin(d x + c) +--R + +--R 3 2 +--R 15d cos(d x + c) + 45d cos(d x + c) - 30d cos(d x + c) - 60d +--R Type: Union(Expression Integer,...) +--E 94 + +--S 95 of 520 +m0017:= a0017-r0017 +--R +--R +--R (58) +--R 6 5 4 3 +--R - 2cos(d x + c) + 4cos(d x + c) + 7cos(d x + c) + 2cos(d x + c) +--R + +--R 2 +--R - 8cos(d x + c) + 24cos(d x + c) + 48 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 6 5 +--R (- 7cos(d x + c) + 14cos(d x + c) + 28cos(d x + c) )sin(d x + c) +--R + +--R 8 7 6 5 +--R - 9cos(d x + c) - 17cos(d x + c) + 23cos(d x + c) + 26cos(d x + c) +--R + +--R 4 3 2 +--R - 15cos(d x + c) + 22cos(d x + c) + 56cos(d x + c) - 24cos(d x + c) - 48 +--R / +--R 7 6 5 +--R (15d cos(d x + c) - 30d cos(d x + c) - 60d cos(d x + c) )sin(d x + c) +--R + +--R 8 7 6 +--R 15d cos(d x + c) + 45d cos(d x + c) - 30d cos(d x + c) +--R + +--R 5 +--R - 60d cos(d x + c) +--R Type: Expression Integer +--E 95 + +--S 96 of 520 +d0017:= D(m0017,x) +--R +--R +--R (59) +--R 8 7 6 5 +--R - 2cos(d x + c) + 8cos(d x + c) + 5cos(d x + c) - 20cos(d x + c) +--R + +--R 4 3 2 +--R - 80cos(d x + c) + 192cos(d x + c) + 192cos(d x + c) +--R + +--R - 960cos(d x + c) - 960 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 9 8 7 6 +--R - 4cos(d x + c) + 6cos(d x + c) + 52cos(d x + c) + 57cos(d x + c) +--R + +--R 5 4 3 +--R - 52cos(d x + c) + 8cos(d x + c) + 864cos(d x + c) +--R + +--R 2 +--R 864cos(d x + c) - 960cos(d x + c) - 960 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 5 4 +--R - 45cos(d x + c) + 180cos(d x + c) + 240cos(d x + c) +--R + +--R 3 2 +--R - 960cos(d x + c) - 960cos(d x + c) + 960cos(d x + c) + 960 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 11 10 9 +--R - 4cos(d x + c) + 6cos(d x + c) + 56cos(d x + c) +--R + +--R 8 7 6 +--R 51cos(d x + c) - 104cos(d x + c) - 49cos(d x + c) +--R + +--R 5 4 3 +--R 916cos(d x + c) + 856cos(d x + c) - 1824cos(d x + c) +--R + +--R 2 +--R - 1824cos(d x + c) + 960cos(d x + c) + 960 +--R * +--R sin(d x + c) +--R + +--R 12 11 10 9 +--R 2cos(d x + c) - 8cos(d x + c) - 9cos(d x + c) + 36cos(d x + c) +--R + +--R 8 7 6 5 +--R 47cos(d x + c) - 60cos(d x + c) - 72cos(d x + c) + 224cos(d x + c) +--R + +--R 4 3 2 +--R 224cos(d x + c) - 192cos(d x + c) - 192cos(d x + c) +--R / +--R 10 9 8 +--R 15cos(d x + c) - 60cos(d x + c) - 60cos(d x + c) +--R + +--R 7 6 +--R 240cos(d x + c) + 240cos(d x + c) +--R * +--R 2 +--R sin(d x + c) +--R + +--R 11 10 9 +--R 30cos(d x + c) + 30cos(d x + c) - 360cos(d x + c) +--R + +--R 8 7 6 +--R - 360cos(d x + c) + 480cos(d x + c) + 480cos(d x + c) +--R * +--R sin(d x + c) +--R + +--R 12 11 10 9 +--R 15cos(d x + c) + 90cos(d x + c) + 75cos(d x + c) - 300cos(d x + c) +--R + +--R 8 7 6 +--R - 300cos(d x + c) + 240cos(d x + c) + 240cos(d x + c) +--R Type: Expression Integer +--E 96 + +--S 97 of 520 +t0018:= 1/(1+sin(c+d*x))^4 +--R +--R +--R 1 +--R (60) ------------------------------------------------------------------- +--R 4 3 2 +--R sin(d x + c) + 4sin(d x + c) + 6sin(d x + c) + 4sin(d x + c) + 1 +--R Type: Expression Integer +--E 97 + +--S 98 of 520 +r0018:= 1/35/cos(c+d*x)^7*(40*sin(c+d*x)-8*cos(c+d*x)^2*sin(c+d*x)-40+28*cos(c+d*x)^2+cos(c+d*x)^4*sin(c+d*x)+2*cos(c+d*x)^6*sin(c+d*x))/d +--R +--R +--R (61) +--R 6 4 2 +--R (2cos(d x + c) + cos(d x + c) - 8cos(d x + c) + 40)sin(d x + c) +--R + +--R 2 +--R 28cos(d x + c) - 40 +--R / +--R 7 +--R 35d cos(d x + c) +--R Type: Expression Integer +--E 98 + +--S 99 of 520 +a0018:= integrate(t0018,x) +--R +--R +--R (62) +--R 3 2 +--R (- 14cos(d x + c) - 42cos(d x + c) + 63cos(d x + c) + 91)sin(d x + c) +--R + +--R 4 3 2 +--R 10cos(d x + c) - 44cos(d x + c) - 87cos(d x + c) + 68cos(d x + c) + 101 +--R / +--R 3 2 +--R (35d cos(d x + c) + 140d cos(d x + c) - 140d cos(d x + c) - 280d) +--R * +--R sin(d x + c) +--R + +--R 4 3 2 +--R - 35d cos(d x + c) + 105d cos(d x + c) + 280d cos(d x + c) +--R + +--R - 140d cos(d x + c) - 280d +--R Type: Union(Expression Integer,...) +--E 99 + +--S 100 of 520 +m0018:= a0018-r0018 +--R +--R +--R (63) +--R 9 8 7 6 +--R - 2cos(d x + c) - 8cos(d x + c) + 7cos(d x + c) + 12cos(d x + c) +--R + +--R 5 4 3 +--R 12cos(d x + c) + 40cos(d x + c) - 72cos(d x + c) +--R + +--R 2 +--R - 224cos(d x + c) + 160cos(d x + c) + 320 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 10 9 8 +--R - 12cos(d x + c) - 48cos(d x + c) + 48cos(d x + c) +--R + +--R 7 +--R 96cos(d x + c) +--R * +--R sin(d x + c) +--R + +--R 11 10 9 8 +--R 10cos(d x + c) - 44cos(d x + c) - 87cos(d x + c) + 68cos(d x + c) +--R + +--R 7 6 5 4 +--R 101cos(d x + c) + 28cos(d x + c) - 84cos(d x + c) - 264cos(d x + c) +--R + +--R 3 2 +--R 232cos(d x + c) + 544cos(d x + c) - 160cos(d x + c) - 320 +--R / +--R 10 9 8 +--R 35d cos(d x + c) + 140d cos(d x + c) - 140d cos(d x + c) +--R + +--R 7 +--R - 280d cos(d x + c) +--R * +--R sin(d x + c) +--R + +--R 11 10 9 +--R - 35d cos(d x + c) + 105d cos(d x + c) + 280d cos(d x + c) +--R + +--R 8 7 +--R - 140d cos(d x + c) - 280d cos(d x + c) +--R Type: Expression Integer +--E 100 + +--S 101 of 520 +d0018:= D(m0018,x) +--R +--R +--R (64) +--R 12 11 10 +--R - 2cos(d x + c) - 16cos(d x + c) - 19cos(d x + c) +--R + +--R 9 8 7 +--R 72cos(d x + c) + 112cos(d x + c) + 336cos(d x + c) +--R + +--R 6 5 4 +--R 56cos(d x + c) - 4352cos(d x + c) - 4352cos(d x + c) +--R + +--R 3 2 +--R 16000cos(d x + c) + 16000cos(d x + c) - 17920cos(d x + c) - 17920 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 13 12 11 +--R 4cos(d x + c) + 18cos(d x + c) - 76cos(d x + c) +--R + +--R 10 9 8 +--R - 69cos(d x + c) + 152cos(d x + c) + 96cos(d x + c) +--R + +--R 7 6 5 +--R 1584cos(d x + c) + 1864cos(d x + c) - 11264cos(d x + c) +--R + +--R 4 3 2 +--R - 11264cos(d x + c) + 27520cos(d x + c) + 27520cos(d x + c) +--R + +--R - 17920cos(d x + c) - 17920 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 10 9 7 +--R 35cos(d x + c) + 280cos(d x + c) - 3920cos(d x + c) +--R + +--R 6 5 4 +--R - 3640cos(d x + c) + 17920cos(d x + c) + 17920cos(d x + c) +--R + +--R 3 2 +--R - 31360cos(d x + c) - 31360cos(d x + c) + 17920cos(d x + c) + 17920 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 15 14 13 +--R 4cos(d x + c) + 18cos(d x + c) - 80cos(d x + c) +--R + +--R 12 11 10 +--R - 87cos(d x + c) + 228cos(d x + c) + 165cos(d x + c) +--R + +--R 9 8 7 +--R 1432cos(d x + c) + 1768cos(d x + c) - 12848cos(d x + c) +--R + +--R 6 5 4 +--R - 13128cos(d x + c) + 38784cos(d x + c) + 38784cos(d x + c) +--R + +--R 3 2 +--R - 45440cos(d x + c) - 45440cos(d x + c) + 17920cos(d x + c) + 17920 +--R * +--R sin(d x + c) +--R + +--R 16 15 14 13 +--R 2cos(d x + c) + 16cos(d x + c) + 15cos(d x + c) - 104cos(d x + c) +--R + +--R 12 11 10 +--R - 113cos(d x + c) + 104cos(d x + c) + 152cos(d x + c) +--R + +--R 9 8 7 +--R 752cos(d x + c) + 712cos(d x + c) - 3200cos(d x + c) +--R + +--R 6 5 4 +--R - 3200cos(d x + c) + 4992cos(d x + c) + 4992cos(d x + c) +--R + +--R 3 2 +--R - 2560cos(d x + c) - 2560cos(d x + c) +--R / +--R 14 13 12 +--R 35cos(d x + c) + 280cos(d x + c) + 280cos(d x + c) +--R + +--R 11 10 9 +--R - 1680cos(d x + c) - 1680cos(d x + c) + 2240cos(d x + c) +--R + +--R 8 +--R 2240cos(d x + c) +--R * +--R 2 +--R sin(d x + c) +--R + +--R 15 14 13 +--R - 70cos(d x + c) - 70cos(d x + c) + 1680cos(d x + c) +--R + +--R 12 11 10 +--R 1680cos(d x + c) - 5600cos(d x + c) - 5600cos(d x + c) +--R + +--R 9 8 +--R 4480cos(d x + c) + 4480cos(d x + c) +--R * +--R sin(d x + c) +--R + +--R 16 15 14 +--R 35cos(d x + c) - 210cos(d x + c) - 245cos(d x + c) +--R + +--R 13 12 11 +--R 1960cos(d x + c) + 1960cos(d x + c) - 3920cos(d x + c) +--R + +--R 10 9 8 +--R - 3920cos(d x + c) + 2240cos(d x + c) + 2240cos(d x + c) +--R Type: Expression Integer +--E 101 + +--S 102 of 520 +t0019:= 1/(1-sin(c+d*x))^2 +--R +--R +--R 1 +--R (65) --------------------------------- +--R 2 +--R sin(d x + c) - 2sin(d x + c) + 1 +--R Type: Expression Integer +--E 102 + +--S 103 of 520 +r0019:= 1/3/d/cos(c+d*x)^3*(2*sin(c+d*x)+2+cos(c+d*x)^2*sin(c+d*x)) +--R +--R +--R 2 +--R (cos(d x + c) + 2)sin(d x + c) + 2 +--R (66) ----------------------------------- +--R 3 +--R 3d cos(d x + c) +--R Type: Expression Integer +--E 103 + +--S 104 of 520 +a0019:= integrate(t0019,x) +--R +--R +--R (67) +--R 2 +--R (3cos(d x + c) + 3)sin(d x + c) + cos(d x + c) - 4cos(d x + c) - 5 +--R ---------------------------------------------------------------------------- +--R 2 +--R (3d cos(d x + c) + 6d)sin(d x + c) + 3d cos(d x + c) - 3d cos(d x + c) - 6d +--R Type: Union(Expression Integer,...) +--E 104 + +--S 105 of 520 +m0019:= a0019-r0019 +--R +--R +--R (68) +--R 3 2 2 +--R (- cos(d x + c) - 2cos(d x + c) - 2cos(d x + c) - 4)sin(d x + c) +--R + +--R 4 3 5 +--R (2cos(d x + c) + 4cos(d x + c) )sin(d x + c) + cos(d x + c) +--R + +--R 4 3 2 +--R - 4cos(d x + c) - 5cos(d x + c) - 2cos(d x + c) + 2cos(d x + c) + 4 +--R / +--R 4 3 5 +--R (3d cos(d x + c) + 6d cos(d x + c) )sin(d x + c) + 3d cos(d x + c) +--R + +--R 4 3 +--R - 3d cos(d x + c) - 6d cos(d x + c) +--R Type: Expression Integer +--E 105 + +--S 106 of 520 +d0019:= D(m0019,x) +--R +--R +--R (69) +--R 4 3 2 +--R - cos(d x + c) - 4cos(d x + c) - 10cos(d x + c) - 24cos(d x + c) +--R + +--R - 24 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 5 4 3 2 +--R - 2cos(d x + c) - 5cos(d x + c) - 4cos(d x + c) - 10cos(d x + c) +--R + +--R 24cos(d x + c) + 24 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 4 3 2 +--R - 3cos(d x + c) - 12cos(d x + c) - 6cos(d x + c) + 24cos(d x + c) +--R + +--R 24 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 6 5 4 +--R - 2cos(d x + c) - 5cos(d x + c) - 2cos(d x + c) - 5cos(d x + c) +--R + +--R 3 2 +--R 28cos(d x + c) + 34cos(d x + c) - 24cos(d x + c) - 24 +--R * +--R sin(d x + c) +--R + +--R 8 7 6 5 +--R cos(d x + c) + 4cos(d x + c) + 5cos(d x + c) + 4cos(d x + c) +--R + +--R 4 3 2 +--R 2cos(d x + c) - 8cos(d x + c) - 8cos(d x + c) +--R / +--R 6 5 4 2 +--R (3cos(d x + c) + 12cos(d x + c) + 12cos(d x + c) )sin(d x + c) +--R + +--R 7 6 5 4 +--R (6cos(d x + c) + 6cos(d x + c) - 24cos(d x + c) - 24cos(d x + c) ) +--R * +--R sin(d x + c) +--R + +--R 8 7 6 5 +--R 3cos(d x + c) - 6cos(d x + c) - 9cos(d x + c) + 12cos(d x + c) +--R + +--R 4 +--R 12cos(d x + c) +--R Type: Expression Integer +--E 106 + +--S 107 of 520 +t0020:= 1/(1-sin(c+d*x))^3 +--R +--R +--R 1 +--R (70) - -------------------------------------------------- +--R 3 2 +--R sin(d x + c) - 3sin(d x + c) + 3sin(d x + c) - 1 +--R Type: Expression Integer +--E 107 + +--S 108 of 520 +r0020:= 1/15/cos(c+d*x)^5*(12*sin(c+d*x)+cos(c+d*x)^2*sin(c+d*x)+12-5*cos(c+d*x)^2+2*cos(c+d*x)^4*sin(c+d*x))/d +--R +--R +--R (71) +--R 4 2 2 +--R (2cos(d x + c) + cos(d x + c) + 12)sin(d x + c) - 5cos(d x + c) + 12 +--R ----------------------------------------------------------------------- +--R 5 +--R 15d cos(d x + c) +--R Type: Expression Integer +--E 108 + +--S 109 of 520 +a0020:= integrate(t0020,x) +--R +--R +--R (72) +--R 2 3 +--R (5cos(d x + c) - 20cos(d x + c) - 25)sin(d x + c) - 9cos(d x + c) +--R + +--R 2 +--R - 17cos(d x + c) + 23cos(d x + c) + 31 +--R / +--R 2 +--R (15d cos(d x + c) - 30d cos(d x + c) - 60d)sin(d x + c) +--R + +--R 3 2 +--R - 15d cos(d x + c) - 45d cos(d x + c) + 30d cos(d x + c) + 60d +--R Type: Union(Expression Integer,...) +--E 109 + +--S 110 of 520 +m0020:= a0020-r0020 +--R +--R +--R (73) +--R 6 5 4 3 +--R - 2cos(d x + c) + 4cos(d x + c) + 7cos(d x + c) + 2cos(d x + c) +--R + +--R 2 +--R - 8cos(d x + c) + 24cos(d x + c) + 48 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 6 5 +--R (7cos(d x + c) - 14cos(d x + c) - 28cos(d x + c) )sin(d x + c) +--R + +--R 8 7 6 5 +--R - 9cos(d x + c) - 17cos(d x + c) + 23cos(d x + c) + 26cos(d x + c) +--R + +--R 4 3 2 +--R - 15cos(d x + c) + 22cos(d x + c) + 56cos(d x + c) - 24cos(d x + c) - 48 +--R / +--R 7 6 5 +--R (15d cos(d x + c) - 30d cos(d x + c) - 60d cos(d x + c) )sin(d x + c) +--R + +--R 8 7 6 +--R - 15d cos(d x + c) - 45d cos(d x + c) + 30d cos(d x + c) +--R + +--R 5 +--R 60d cos(d x + c) +--R Type: Expression Integer +--E 110 + +--S 111 of 520 +d0020:= D(m0020,x) +--R +--R +--R (74) +--R 8 7 6 5 +--R - 2cos(d x + c) + 8cos(d x + c) + 5cos(d x + c) - 20cos(d x + c) +--R + +--R 4 3 2 +--R - 80cos(d x + c) + 192cos(d x + c) + 192cos(d x + c) +--R + +--R - 960cos(d x + c) - 960 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 9 8 7 6 +--R 4cos(d x + c) - 6cos(d x + c) - 52cos(d x + c) - 57cos(d x + c) +--R + +--R 5 4 3 +--R 52cos(d x + c) - 8cos(d x + c) - 864cos(d x + c) +--R + +--R 2 +--R - 864cos(d x + c) + 960cos(d x + c) + 960 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 5 4 +--R - 45cos(d x + c) + 180cos(d x + c) + 240cos(d x + c) +--R + +--R 3 2 +--R - 960cos(d x + c) - 960cos(d x + c) + 960cos(d x + c) + 960 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 11 10 9 8 +--R 4cos(d x + c) - 6cos(d x + c) - 56cos(d x + c) - 51cos(d x + c) +--R + +--R 7 6 5 +--R 104cos(d x + c) + 49cos(d x + c) - 916cos(d x + c) +--R + +--R 4 3 2 +--R - 856cos(d x + c) + 1824cos(d x + c) + 1824cos(d x + c) +--R + +--R - 960cos(d x + c) - 960 +--R * +--R sin(d x + c) +--R + +--R 12 11 10 9 +--R 2cos(d x + c) - 8cos(d x + c) - 9cos(d x + c) + 36cos(d x + c) +--R + +--R 8 7 6 5 +--R 47cos(d x + c) - 60cos(d x + c) - 72cos(d x + c) + 224cos(d x + c) +--R + +--R 4 3 2 +--R 224cos(d x + c) - 192cos(d x + c) - 192cos(d x + c) +--R / +--R 10 9 8 +--R 15cos(d x + c) - 60cos(d x + c) - 60cos(d x + c) +--R + +--R 7 6 +--R 240cos(d x + c) + 240cos(d x + c) +--R * +--R 2 +--R sin(d x + c) +--R + +--R 11 10 9 +--R - 30cos(d x + c) - 30cos(d x + c) + 360cos(d x + c) +--R + +--R 8 7 6 +--R 360cos(d x + c) - 480cos(d x + c) - 480cos(d x + c) +--R * +--R sin(d x + c) +--R + +--R 12 11 10 9 +--R 15cos(d x + c) + 90cos(d x + c) + 75cos(d x + c) - 300cos(d x + c) +--R + +--R 8 7 6 +--R - 300cos(d x + c) + 240cos(d x + c) + 240cos(d x + c) +--R Type: Expression Integer +--E 111 + +--S 112 of 520 +t0021:= 1/(1-sin(c+d*x))^4 +--R +--R +--R 1 +--R (75) ------------------------------------------------------------------- +--R 4 3 2 +--R sin(d x + c) - 4sin(d x + c) + 6sin(d x + c) - 4sin(d x + c) + 1 +--R Type: Expression Integer +--E 112 + +--S 113 of 520 +r0021:= 1/35/cos(c+d*x)^7*(40*sin(c+d*x)-8*cos(c+d*x)^2*sin(c+d*x)+40-28*cos(c+d*x)^2+cos(c+d*x)^4*sin(c+d*x)+2*cos(c+d*x)^6*sin(c+d*x))/d +--R +--R +--R (76) +--R 6 4 2 +--R (2cos(d x + c) + cos(d x + c) - 8cos(d x + c) + 40)sin(d x + c) +--R + +--R 2 +--R - 28cos(d x + c) + 40 +--R / +--R 7 +--R 35d cos(d x + c) +--R Type: Expression Integer +--E 113 + +--S 114 of 520 +a0021:= integrate(t0021,x) +--R +--R +--R (77) +--R 3 2 +--R (14cos(d x + c) + 42cos(d x + c) - 63cos(d x + c) - 91)sin(d x + c) +--R + +--R 4 3 2 +--R 10cos(d x + c) - 44cos(d x + c) - 87cos(d x + c) + 68cos(d x + c) + 101 +--R / +--R 3 2 +--R (35d cos(d x + c) + 140d cos(d x + c) - 140d cos(d x + c) - 280d) +--R * +--R sin(d x + c) +--R + +--R 4 3 2 +--R 35d cos(d x + c) - 105d cos(d x + c) - 280d cos(d x + c) +--R + +--R 140d cos(d x + c) + 280d +--R Type: Union(Expression Integer,...) +--E 114 + +--S 115 of 520 +m0021:= a0021-r0021 +--R +--R +--R (78) +--R 9 8 7 6 +--R - 2cos(d x + c) - 8cos(d x + c) + 7cos(d x + c) + 12cos(d x + c) +--R + +--R 5 4 3 +--R 12cos(d x + c) + 40cos(d x + c) - 72cos(d x + c) +--R + +--R 2 +--R - 224cos(d x + c) + 160cos(d x + c) + 320 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 10 9 8 +--R 12cos(d x + c) + 48cos(d x + c) - 48cos(d x + c) +--R + +--R 7 +--R - 96cos(d x + c) +--R * +--R sin(d x + c) +--R + +--R 11 10 9 8 +--R 10cos(d x + c) - 44cos(d x + c) - 87cos(d x + c) + 68cos(d x + c) +--R + +--R 7 6 5 4 +--R 101cos(d x + c) + 28cos(d x + c) - 84cos(d x + c) - 264cos(d x + c) +--R + +--R 3 2 +--R 232cos(d x + c) + 544cos(d x + c) - 160cos(d x + c) - 320 +--R / +--R 10 9 8 +--R 35d cos(d x + c) + 140d cos(d x + c) - 140d cos(d x + c) +--R + +--R 7 +--R - 280d cos(d x + c) +--R * +--R sin(d x + c) +--R + +--R 11 10 9 +--R 35d cos(d x + c) - 105d cos(d x + c) - 280d cos(d x + c) +--R + +--R 8 7 +--R 140d cos(d x + c) + 280d cos(d x + c) +--R Type: Expression Integer +--E 115 + +--S 116 of 520 +d0021:= D(m0021,x) +--R +--R +--R (79) +--R 12 11 10 +--R - 2cos(d x + c) - 16cos(d x + c) - 19cos(d x + c) +--R + +--R 9 8 7 +--R 72cos(d x + c) + 112cos(d x + c) + 336cos(d x + c) +--R + +--R 6 5 4 +--R 56cos(d x + c) - 4352cos(d x + c) - 4352cos(d x + c) +--R + +--R 3 2 +--R 16000cos(d x + c) + 16000cos(d x + c) - 17920cos(d x + c) - 17920 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 13 12 11 +--R - 4cos(d x + c) - 18cos(d x + c) + 76cos(d x + c) +--R + +--R 10 9 8 +--R 69cos(d x + c) - 152cos(d x + c) - 96cos(d x + c) +--R + +--R 7 6 5 +--R - 1584cos(d x + c) - 1864cos(d x + c) + 11264cos(d x + c) +--R + +--R 4 3 2 +--R 11264cos(d x + c) - 27520cos(d x + c) - 27520cos(d x + c) +--R + +--R 17920cos(d x + c) + 17920 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 10 9 7 +--R 35cos(d x + c) + 280cos(d x + c) - 3920cos(d x + c) +--R + +--R 6 5 4 +--R - 3640cos(d x + c) + 17920cos(d x + c) + 17920cos(d x + c) +--R + +--R 3 2 +--R - 31360cos(d x + c) - 31360cos(d x + c) + 17920cos(d x + c) + 17920 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 15 14 13 +--R - 4cos(d x + c) - 18cos(d x + c) + 80cos(d x + c) +--R + +--R 12 11 10 +--R 87cos(d x + c) - 228cos(d x + c) - 165cos(d x + c) +--R + +--R 9 8 7 +--R - 1432cos(d x + c) - 1768cos(d x + c) + 12848cos(d x + c) +--R + +--R 6 5 4 +--R 13128cos(d x + c) - 38784cos(d x + c) - 38784cos(d x + c) +--R + +--R 3 2 +--R 45440cos(d x + c) + 45440cos(d x + c) - 17920cos(d x + c) - 17920 +--R * +--R sin(d x + c) +--R + +--R 16 15 14 13 +--R 2cos(d x + c) + 16cos(d x + c) + 15cos(d x + c) - 104cos(d x + c) +--R + +--R 12 11 10 +--R - 113cos(d x + c) + 104cos(d x + c) + 152cos(d x + c) +--R + +--R 9 8 7 +--R 752cos(d x + c) + 712cos(d x + c) - 3200cos(d x + c) +--R + +--R 6 5 4 +--R - 3200cos(d x + c) + 4992cos(d x + c) + 4992cos(d x + c) +--R + +--R 3 2 +--R - 2560cos(d x + c) - 2560cos(d x + c) +--R / +--R 14 13 12 +--R 35cos(d x + c) + 280cos(d x + c) + 280cos(d x + c) +--R + +--R 11 10 9 +--R - 1680cos(d x + c) - 1680cos(d x + c) + 2240cos(d x + c) +--R + +--R 8 +--R 2240cos(d x + c) +--R * +--R 2 +--R sin(d x + c) +--R + +--R 15 14 13 +--R 70cos(d x + c) + 70cos(d x + c) - 1680cos(d x + c) +--R + +--R 12 11 10 +--R - 1680cos(d x + c) + 5600cos(d x + c) + 5600cos(d x + c) +--R + +--R 9 8 +--R - 4480cos(d x + c) - 4480cos(d x + c) +--R * +--R sin(d x + c) +--R + +--R 16 15 14 +--R 35cos(d x + c) - 210cos(d x + c) - 245cos(d x + c) +--R + +--R 13 12 11 +--R 1960cos(d x + c) + 1960cos(d x + c) - 3920cos(d x + c) +--R + +--R 10 9 8 +--R - 3920cos(d x + c) + 2240cos(d x + c) + 2240cos(d x + c) +--R Type: Expression Integer +--E 116 + +--S 117 of 520 +t0022:= (a+b*sin(c+d*x))^(1/2) +--R +--R +--R +------------------+ +--R (80) \|b sin(d x + c) + a +--R Type: Expression Integer +--E 117 + +--S 118 of 520 +r0022:= 2*EllipticE(1/2*c-1/4*%pi+1/2*d*x,2*b/(a+b))*(a+b*sin(c+d*x))^(1/2)/d/((a+b*sin(c+d*x))/(a+b))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 118 + +--S 119 of 520 +a0022:= integrate(t0022,x) +--R +--R +--R x +--R ++ +-------------------+ +--R (81) | \|b sin(%R d + c) + a d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 119 + +--S 120 of 520 +--m0022:= a0022-r0022 +--E 120 + +--S 121 of 520 +--d0022:= D(m0022,x) +--E 121 + +--S 122 of 520 +t0023:= (a+b*sin(x))^(3/2) +--R +--R +--R +------------+ +--R (82) (b sin(x) + a)\|b sin(x) + a +--R Type: Expression Integer +--E 122 + +--S 123 of 520 +r0023:= 2/3*(4*a*EllipticE(-1/4*%pi+1/2*x,2*b/(a+b))-a*EllipticF(-1/4*%pi+1/2*x,2*b/(a+b))-b*cos(x)*((a+b*sin(x))/(a+b))^(1/2)+b*EllipticF(-1/4*%pi+1/2*x,2*b/(a+b)))*(a+b*sin(x))^(1/2)/((a+b*sin(x))/(a+b))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 123 + +--S 124 of 520 +a0023:= integrate(t0023,x) +--R +--R +--R x +--R ++ +-------------+ +--R (83) | (b sin(%R) + a)\|b sin(%R) + a d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 124 + +--S 125 of 520 +--m0023:= a0023-r0023 +--E 125 + +--S 126 of 520 +--d0023:= D(m0023,x) +--E 126 + +--S 127 of 520 +t0024:= 1/(a+b*sin(x))^(1/2) +--R +--R +--R 1 +--R (84) --------------- +--R +------------+ +--R \|b sin(x) + a +--R Type: Expression Integer +--E 127 + +--S 128 of 520 +r0024:= 2*EllipticF(-1/4*%pi+1/2*x,2*b/(a+b))*((a+b*sin(x))/(a+b))^(1/2)/(a+b*sin(x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 128 + +--S 129 of 520 +a0024:= integrate(t0024,x) +--R +--R +--R x +--R ++ 1 +--R (85) | ---------------- d%R +--R ++ +-------------+ +--R \|b sin(%R) + a +--R Type: Union(Expression Integer,...) +--E 129 + +--S 130 of 520 +--m0024:= a0024-r0024 +--E 130 + +--S 131 of 520 +--d0024:= D(m0024,x) +--E 131 + +--S 132 of 520 +t0025:= 1/(a+b*sin(x))^(3/2) +--R +--R +--R 1 +--R (86) ----------------------------- +--R +------------+ +--R (b sin(x) + a)\|b sin(x) + a +--R Type: Expression Integer +--E 132 + +--S 133 of 520 +r0025:= 2*b*cos(x)/(a^2-b^2)/(a+b*sin(x))^(1/2)+2*EllipticE(-1/4*%pi+1/2*x,2*b/(a+b))*(a+b*sin(x))^(1/2)/(a^2-b^2)/((a+b*sin(x))/(a+b))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 133 + +--S 134 of 520 +a0025:= integrate(t0025,x) +--R +--R +--R x +--R ++ 1 +--R (87) | ------------------------------- d%R +--R ++ +-------------+ +--R (b sin(%R) + a)\|b sin(%R) + a +--R Type: Union(Expression Integer,...) +--E 134 + +--S 135 of 520 +--m0025:= a0025-r0025 +--E 135 + +--S 136 of 520 +--d0025:= D(m0025,x) +--E 136 + +--S 137 of 520 +t0026:= 1/(a+b*sin(x))^(5/2) +--R +--R +--R 1 +--R (88) --------------------------------------------- +--R 2 2 2 +------------+ +--R (b sin(x) + 2a b sin(x) + a )\|b sin(x) + a +--R Type: Expression Integer +--E 137 + +--S 138 of 520 +r0026:= 2/3*b*cos(x)/(a^2-b^2)/(a+b*sin(x))^(3/2)+8/3*a*b*cos(x)/(a^2-b^2)^2/(a+b*sin(x))^(1/2)+8/3*a*EllipticE(-1/4*%pi+1/2*x,2*b/(a+b))*(a+b*sin(x))^(1/2)/(a^2-b^2)^2/((a+b*sin(x))/(a+b))^(1/2)-2/3*EllipticF(-1/4*%pi+1/2*x,2*b/(a+b))*((a+b*sin(x))/(a+b))^(1/2)/(a^2-b^2)/(a+b*sin(x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 138 + +--S 139 of 520 +a0026:= integrate(t0026,x) +--R +--R +--R x +--R ++ 1 +--R (89) | ------------------------------------------------ d%R +--R ++ 2 2 2 +-------------+ +--R (b sin(%R) + 2a b sin(%R) + a )\|b sin(%R) + a +--R Type: Union(Expression Integer,...) +--E 139 + +--S 140 of 520 +--m0026:= a0026-r0026 +--E 140 + +--S 141 of 520 +--d0026:= D(m0026,x) +--E 141 + +--S 142 of 520 +t0027:= 1/(a+a*sin(c+d*x))^(1/2) +--R +--R +--R 1 +--R (90) --------------------- +--R +------------------+ +--R \|a sin(d x + c) + a +--R Type: Expression Integer +--E 142 + +--S 143 of 520 +r0027:= -2*atanh(cos(1/2*c+1/4*%pi+1/2*d*x))*sin(1/2*c+1/4*%pi+1/2*d*x)/d/(a+a*sin(c+d*x))^(1/2) +--R +--R +--R 2d x + %pi + 2c 2d x + %pi + 2c +--R 2sin(---------------)atanh(cos(---------------)) +--R 4 4 +--R (91) - ------------------------------------------------ +--R +------------------+ +--R d\|a sin(d x + c) + a +--R Type: Expression Integer +--E 143 + +--S 144 of 520 +a0027:= integrate(t0027,x) +--R +--R +--R (92) +--R [ +--R +-+ +--R |2 +--R |- +--R \|a +--R * +--R log +--R +-+ +--R +-+ +-+ +-+ |2 +--R (\|2 sin(d x + c) - \|2 cos(d x + c) - \|2 ) |- +--R \|a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- cos(d x + c) - 1)sin(d x + c) + 3cos(d x + c) + 3 +--R / +--R (cos(d x + c) + 1)sin(d x + c) + cos(d x + c) + 1 +--R / +--R 2d +--R , +--R +--R +-+ +--R |2 +--R |- +--R \|a +--R * +--R log +--R (cos(d x + c) + 1)sin(d x + c) + cos(d x + c) + 1 +--R / +--R +-+ +--R +-+ +-+ +-+ |2 +--R (\|2 sin(d x + c) - \|2 cos(d x + c) - \|2 ) |- +--R \|a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (cos(d x + c) + 1)sin(d x + c) - 3cos(d x + c) - 3 +--R / +--R 2d +--R ] +--R Type: Union(List Expression Integer,...) +--E 144 + +--S 145 of 520 +m0027a:= a0027.1-r0027 +--R +--R +--R (93) +--R +-+ +--R |2 +------------------+ +--R |- \|a sin(d x + c) + a +--R \|a +--R * +--R log +--R +-+ +--R +-+ +-+ +-+ |2 +--R (\|2 sin(d x + c) - \|2 cos(d x + c) - \|2 ) |- +--R \|a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- cos(d x + c) - 1)sin(d x + c) + 3cos(d x + c) + 3 +--R / +--R (cos(d x + c) + 1)sin(d x + c) + cos(d x + c) + 1 +--R + +--R 2d x + %pi + 2c 2d x + %pi + 2c +--R 4sin(---------------)atanh(cos(---------------)) +--R 4 4 +--R / +--R +------------------+ +--R 2d\|a sin(d x + c) + a +--R Type: Expression Integer +--E 145 + +--S 146 of 520 +d0027a:= D(m0027a,x) +--R +--R +--R (94) +--R 2d x + %pi + 2c 2 2 +--R (4cos(---------------) - 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (4cos(---------------) - 4)cos(d x + c) +--R 4 +--R * +--R +-+ +--R |2 +------------------+ +--R |- \|a cos(d x + c) + a +--R \|a +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- \|2 cos(---------------) + \|2 )sin(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- \|2 cos(---------------) + \|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 2\|2 cos(---------------) + 2\|2 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- \|2 cos(---------------) + \|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - \|2 cos(---------------) + \|2 +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 2\|2 cos(---------------) + 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 6\|2 cos(---------------) + 6\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 4\|2 cos(---------------) + 4\|2 )cos(d x + c) +--R 4 +--R * +--R +------------------+ +--R \|a sin(d x + c) + a +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (2cos(---------------) - 2cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R 2cos(---------------) - 2cos(---------------) +--R 4 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 2cos(---------------) + 2)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 2cos(---------------) + 2)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 4cos(---------------) + 4cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R - 4cos(---------------) + 4cos(---------------) +--R 4 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 2 +--R (6cos(---------------) - 6)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (6cos(---------------) - 6)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 6cos(---------------) + 6cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R - 6cos(---------------) + 6cos(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R atanh(cos(---------------)) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (2cos(d x + c) + 2)sin(---------------) sin(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 4cos(d x + c) - 4)sin(---------------) sin(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 6cos(d x + c) - 6)sin(---------------) +--R 4 +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 2a\|2 cos(---------------) + 2a\|2 cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R - 2a\|2 cos(---------------) + 2a\|2 cos(---------------) +--R 4 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (2a\|2 cos(---------------) - 2a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (2a\|2 cos(---------------) - 2a\|2 )cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (2a\|2 cos(---------------) - 2a\|2 cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (2a\|2 cos(---------------) - 2a\|2 cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 2a\|2 cos(---------------) + 2a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 4a\|2 cos(---------------) + 4a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 2a\|2 cos(---------------) + 2a\|2 )cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (2a\|2 cos(---------------) - 2a\|2 cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (4a\|2 cos(---------------) - 4a\|2 cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R 2a\|2 cos(---------------) - 2a\|2 cos(---------------) +--R 4 4 +--R * +--R +-+ +--R |2 2d x + %pi + 2c +--R |- atanh(cos(---------------)) +--R \|a 4 +--R + +--R +-+ +-+ 2d x + %pi + 2c 2 2 +--R (- 2a\|2 cos(d x + c) - 2a\|2 )sin(---------------) sin(d x + c) +--R 4 +--R + +--R +-+ 2 +-+ 2d x + %pi + 2c 2 +--R (2a\|2 cos(d x + c) + 2a\|2 cos(d x + c))sin(---------------) +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R (2a\|2 cos(d x + c) + 4a\|2 cos(d x + c) + 2a\|2 ) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R / +--R 2d x + %pi + 2c 2 +--R (2cos(---------------) - 2)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 2cos(---------------) - 2 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 +--R (- 4cos(---------------) + 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 4cos(---------------) + 4 +--R 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 2d x + %pi + 2c 2 +--R (- 6cos(---------------) + 6)cos(d x + c) - 6cos(---------------) +--R 4 4 +--R + +--R 6 +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 2a\|2 cos(---------------) + 2a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 2a\|2 cos(---------------) + 2a\|2 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (2a\|2 cos(---------------) - 2a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (2a\|2 cos(---------------) - 2a\|2 )cos(d x + c) +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (2a\|2 cos(---------------) - 2a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (4a\|2 cos(---------------) - 4a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 2a\|2 cos(---------------) - 2a\|2 +--R 4 +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R * +--R +------------------+ +--R \|a sin(d x + c) + a +--R Type: Expression Integer +--E 146 + +--S 147 of 520 +m0027b:= a0027.2-r0027 +--R +--R +--R (95) +--R +-+ +--R |2 +------------------+ +--R |- \|a sin(d x + c) + a +--R \|a +--R * +--R log +--R (cos(d x + c) + 1)sin(d x + c) + cos(d x + c) + 1 +--R / +--R +-+ +--R +-+ +-+ +-+ |2 +--R (\|2 sin(d x + c) - \|2 cos(d x + c) - \|2 ) |- +--R \|a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (cos(d x + c) + 1)sin(d x + c) - 3cos(d x + c) - 3 +--R + +--R 2d x + %pi + 2c 2d x + %pi + 2c +--R 4sin(---------------)atanh(cos(---------------)) +--R 4 4 +--R / +--R +------------------+ +--R 2d\|a sin(d x + c) + a +--R Type: Expression Integer +--E 147 + +--S 148 of 520 +d0027b:= D(m0027b,x) +--R +--R +--R (96) +--R 2d x + %pi + 2c 2 4 +--R (- 2cos(---------------) + 2)sin(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 2cos(---------------) + 2)sin(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (2cos(---------------) - 2)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (4cos(---------------) - 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 2cos(---------------) - 2 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 8cos(---------------) + 8)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 18cos(---------------) + 18)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 8cos(---------------) + 8)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 2cos(---------------) - 2 +--R 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 4 +--R (4cos(---------------) - 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (28cos(---------------) - 28)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (44cos(---------------) - 44)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (20cos(---------------) - 20)cos(d x + c) +--R 4 +--R * +--R +-+ +--R |2 +------------------+ +--R |- \|a cos(d x + c) + a +--R \|a +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- \|2 cos(---------------) + \|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - \|2 cos(---------------) + \|2 +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- \|2 cos(---------------) + \|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R \|2 cos(---------------) - \|2 +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (2\|2 cos(---------------) - 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (7\|2 cos(---------------) - 7\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 5\|2 cos(---------------) - 5\|2 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 2\|2 cos(---------------) + 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 16\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 23\|2 cos(---------------) + 23\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 6\|2 cos(---------------) + 6\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 3\|2 cos(---------------) - 3\|2 +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (14\|2 cos(---------------) - 14\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (48\|2 cos(---------------) - 48\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (54\|2 cos(---------------) - 54\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (20\|2 cos(---------------) - 20\|2 )cos(d x + c) +--R 4 +--R * +--R +------------------+ +--R \|a sin(d x + c) + a +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c 2 +--R (2cos(---------------) - 2cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (12cos(---------------) - 12cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R 10cos(---------------) - 10cos(---------------) +--R 4 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 2cos(---------------) + 2)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 12cos(---------------) + 12)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 10cos(---------------) + 10)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 26cos(---------------) + 26cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 44cos(---------------) + 44cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R - 18cos(---------------) + 18cos(---------------) +--R 4 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 3 +--R (28cos(---------------) - 28)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (56cos(---------------) - 56)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (28cos(---------------) - 28)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c 3 +--R (8cos(---------------) - 8cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (14cos(---------------) - 14cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (4cos(---------------) - 4cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R - 2cos(---------------) + 2cos(---------------) +--R 4 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 8cos(---------------) + 8)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 42cos(---------------) + 42)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 60cos(---------------) + 60)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 26cos(---------------) + 26)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c 3 +--R (8cos(---------------) - 8cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c 2 +--R (42cos(---------------) - 42cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (60cos(---------------) - 60cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R 26cos(---------------) - 26cos(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R atanh(cos(---------------)) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 +--R (2cos(d x + c) + 12cos(d x + c) + 10)sin(---------------) +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 2d x + %pi + 2c 2 +--R (- 26cos(d x + c) - 44cos(d x + c) - 18)sin(---------------) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 2 +--R (8cos(d x + c) + 14cos(d x + c) + 4cos(d x + c) - 2) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) sin(d x + c) +--R 4 +--R + +--R 3 2 +--R (8cos(d x + c) + 42cos(d x + c) + 60cos(d x + c) + 26) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (4a\|2 cos(---------------) - 4a\|2 cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (8a\|2 cos(---------------) - 8a\|2 cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R 4a\|2 cos(---------------) - 4a\|2 cos(---------------) +--R 4 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 4a\|2 cos(---------------) + 4a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 8a\|2 cos(---------------) + 8a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 4a\|2 cos(---------------) + 4a\|2 )cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 4a\|2 cos(---------------) + 4a\|2 cos(---------------)) +--R 4 4 +--R * +--R 3 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 20a\|2 cos(---------------) + 20a\|2 cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 28a\|2 cos(---------------) + 28a\|2 cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R - 12a\|2 cos(---------------) + 12a\|2 cos(---------------) +--R 4 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (4a\|2 cos(---------------) - 4a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (24a\|2 cos(---------------) - 24a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (36a\|2 cos(---------------) - 36a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (16a\|2 cos(---------------) - 16a\|2 )cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (8a\|2 cos(---------------) - 8a\|2 cos(---------------)) +--R 4 4 +--R * +--R 3 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (12a\|2 cos(---------------) - 12a\|2 cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R - 4a\|2 cos(---------------) + 4a\|2 cos(---------------) +--R 4 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 12a\|2 cos(---------------) + 12a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 36a\|2 cos(---------------) + 36a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 36a\|2 cos(---------------) + 36a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 12a\|2 cos(---------------) + 12a\|2 )cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (12a\|2 cos(---------------) - 12a\|2 cos(---------------)) +--R 4 4 +--R * +--R 3 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (36a\|2 cos(---------------) - 36a\|2 cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (36a\|2 cos(---------------) - 36a\|2 cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R 12a\|2 cos(---------------) - 12a\|2 cos(---------------) +--R 4 4 +--R * +--R +-+ +--R |2 2d x + %pi + 2c +--R |- atanh(cos(---------------)) +--R \|a 4 +--R + +--R +-+ 2 +-+ +-+ +--R (4a\|2 cos(d x + c) + 8a\|2 cos(d x + c) + 4a\|2 ) +--R * +--R 2d x + %pi + 2c 2 3 +--R sin(---------------) sin(d x + c) +--R 4 +--R + +--R +-+ 3 +-+ 2 +--R - 4a\|2 cos(d x + c) - 20a\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 28a\|2 cos(d x + c) - 12a\|2 +--R * +--R 2d x + %pi + 2c 2 2 +--R sin(---------------) sin(d x + c) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R (8a\|2 cos(d x + c) + 12a\|2 cos(d x + c) - 4a\|2 ) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) sin(d x + c) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R 12a\|2 cos(d x + c) + 36a\|2 cos(d x + c) + 36a\|2 cos(d x + c) +--R + +--R +-+ +--R 12a\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R / +--R 2d x + %pi + 2c 2 2 +--R (2cos(---------------) - 2)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (12cos(---------------) - 12)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 10cos(---------------) - 10 +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 26cos(---------------) + 26)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 44cos(---------------) + 44)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 18cos(---------------) + 18 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 3 +--R (8cos(---------------) - 8)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (14cos(---------------) - 14)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (4cos(---------------) - 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 2cos(---------------) + 2 +--R 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 3 +--R (8cos(---------------) - 8)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (42cos(---------------) - 42)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (60cos(---------------) - 60)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 26cos(---------------) - 26 +--R 4 +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (4a\|2 cos(---------------) - 4a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (8a\|2 cos(---------------) - 8a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 4a\|2 cos(---------------) - 4a\|2 +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 4a\|2 cos(---------------) + 4a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 20a\|2 cos(---------------) + 20a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 28a\|2 cos(---------------) + 28a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 12a\|2 cos(---------------) + 12a\|2 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (8a\|2 cos(---------------) - 8a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (12a\|2 cos(---------------) - 12a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 4a\|2 cos(---------------) + 4a\|2 +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (12a\|2 cos(---------------) - 12a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (36a\|2 cos(---------------) - 36a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (36a\|2 cos(---------------) - 36a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 12a\|2 cos(---------------) - 12a\|2 +--R 4 +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R * +--R +------------------+ +--R \|a sin(d x + c) + a +--R Type: Expression Integer +--E 148 + +--S 149 of 520 +t0028:= 1/(a+a*sin(c+d*x))^(3/2) +--R +--R +--R 1 +--R (97) ----------------------------------------- +--R +------------------+ +--R (a sin(d x + c) + a)\|a sin(d x + c) + a +--R Type: Expression Integer +--E 149 + +--S 150 of 520 +r0028:= -1/2*cos(c+d*x)/d/(a+a*sin(c+d*x))^(3/2)-1/2*atanh(cos(1/2*c+1/4*%pi+1/2*d*x))*sin(1/2*c+1/4*%pi+1/2*d*x)/a/d/(a+a*sin(c+d*x))^(1/2) +--R +--R +--R (98) +--R 2d x + %pi + 2c 2d x + %pi + 2c +--R (- sin(---------------)sin(d x + c) - sin(---------------)) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R atanh(cos(---------------)) +--R 4 +--R + +--R - cos(d x + c) +--R / +--R +------------------+ +--R (2a d sin(d x + c) + 2a d)\|a sin(d x + c) + a +--R Type: Expression Integer +--E 150 + +--S 151 of 520 +a0028:= integrate(t0028,x) +--R +--R +--R (99) +--R [ +--R +-+ +-+ +-+ 3 +--R (2\|2 cos(d x + c) + 2\|2 )sin(d x + c) - \|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R - \|2 cos(d x + c) + 2\|2 cos(d x + c) + 2\|2 +--R * +--R +--+ +--R \|2a +--R * +--R log +--R +-+ +-+ +-+ +--+ +--R (\|2 sin(d x + c) - \|2 cos(d x + c) - \|2 )\|2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- a cos(d x + c) - a)sin(d x + c) + 3a cos(d x + c) + 3a +--R / +--R (cos(d x + c) + 1)sin(d x + c) + cos(d x + c) + 1 +--R + +--R 2 +--R (- 4cos(d x + c)sin(d x + c) - 4cos(d x + c) - 4cos(d x + c)) +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 2 +-+ 2 +-+ 2 +-+ 3 +--R (16a d\|2 cos(d x + c) + 16a d\|2 )sin(d x + c) - 8a d\|2 cos(d x + c) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R - 8a d\|2 cos(d x + c) + 16a d\|2 cos(d x + c) + 16a d\|2 +--R , +--R +--R +-+ +-+ +-+ 3 +--R (- 2\|2 cos(d x + c) - 2\|2 )sin(d x + c) + \|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R \|2 cos(d x + c) - 2\|2 cos(d x + c) - 2\|2 +--R * +--R +----+ +--R \|- 2a +--R * +--R atan +--R +-+ +-+ +-+ +----+ +--R (\|2 sin(d x + c) - \|2 cos(d x + c) - \|2 )\|- 2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 4a cos(d x + c) + 4a +--R + +--R 2 +--R (- 2cos(d x + c)sin(d x + c) - 2cos(d x + c) - 2cos(d x + c)) +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 2 +-+ 2 +-+ 2 +-+ 3 +--R (8a d\|2 cos(d x + c) + 8a d\|2 )sin(d x + c) - 4a d\|2 cos(d x + c) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R - 4a d\|2 cos(d x + c) + 8a d\|2 cos(d x + c) + 8a d\|2 +--R ] +--R Type: Union(List Expression Integer,...) +--E 151 + +--S 152 of 520 +m0028a:= a0028.1-r0028 +--R +--R +--R (100) +--R +-+ +-+ 2 +--R (2\|2 cos(d x + c) + 2\|2 )sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +--R - \|2 cos(d x + c) - \|2 cos(d x + c) + 4\|2 cos(d x + c) +--R + +--R +-+ +--R 4\|2 +--R * +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - \|2 cos(d x + c) - \|2 cos(d x + c) + 2\|2 cos(d x + c) + 2\|2 +--R * +--R +--+ +------------------+ +--R \|2a \|a sin(d x + c) + a +--R * +--R log +--R +-+ +-+ +-+ +--+ +--R (\|2 sin(d x + c) - \|2 cos(d x + c) - \|2 )\|2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- a cos(d x + c) - a)sin(d x + c) + 3a cos(d x + c) + 3a +--R / +--R (cos(d x + c) + 1)sin(d x + c) + cos(d x + c) + 1 +--R + +--R 2 +--R - 4cos(d x + c)sin(d x + c) +--R + +--R 2 2 +--R (- 4cos(d x + c) - 8cos(d x + c))sin(d x + c) - 4cos(d x + c) +--R + +--R - 4cos(d x + c) +--R * +--R +------------------+ +------------------+ +--R \|a cos(d x + c) + a \|a sin(d x + c) + a +--R + +--R +-+ +-+ 2d x + %pi + 2c 2 +--R (8a\|2 cos(d x + c) + 8a\|2 )sin(---------------)sin(d x + c) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 4a\|2 cos(d x + c) - 4a\|2 cos(d x + c) + 16a\|2 cos(d x + c) +--R + +--R +-+ +--R 16a\|2 +--R * +--R 2d x + %pi + 2c +--R sin(---------------)sin(d x + c) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 4a\|2 cos(d x + c) - 4a\|2 cos(d x + c) + 8a\|2 cos(d x + c) +--R + +--R +-+ +--R 8a\|2 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c +--R atanh(cos(---------------)) +--R 4 +--R + +--R +-+ 2 +-+ +--R (8a\|2 cos(d x + c) + 8a\|2 cos(d x + c))sin(d x + c) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 4a\|2 cos(d x + c) - 4a\|2 cos(d x + c) + 8a\|2 cos(d x + c) +--R + +--R +-+ +--R 8a\|2 cos(d x + c) +--R / +--R 2 +-+ 2 +-+ 2 +--R (16a d\|2 cos(d x + c) + 16a d\|2 )sin(d x + c) +--R + +--R 2 +-+ 3 2 +-+ 2 +--R - 8a d\|2 cos(d x + c) - 8a d\|2 cos(d x + c) +--R + +--R 2 +-+ 2 +-+ +--R 32a d\|2 cos(d x + c) + 32a d\|2 +--R * +--R sin(d x + c) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 8a d\|2 cos(d x + c) - 8a d\|2 cos(d x + c) + 16a d\|2 cos(d x + c) +--R + +--R 2 +-+ +--R 16a d\|2 +--R * +--R +------------------+ +--R \|a sin(d x + c) + a +--R Type: Expression Integer +--E 152 + +--S 153 of 520 +d0028a:= D(m0028a,x) +--R +--R +--R (101) +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (- 2\|2 cos(---------------) + 2\|2 )cos(d x + c)sin(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 3\|2 cos(---------------) + 3\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 12\|2 cos(---------------) + 12\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 6\|2 cos(---------------) + 6\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 16\|2 cos(---------------) - 16\|2 +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 4\|2 cos(---------------) + 4\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 16\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (28\|2 cos(---------------) - 28\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 64\|2 cos(---------------) - 64\|2 +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- \|2 cos(---------------) + \|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 2\|2 cos(---------------) + 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (10\|2 cos(---------------) - 10\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (48\|2 cos(---------------) - 48\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (116\|2 cos(---------------) - 116\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 96\|2 cos(---------------) - 96\|2 +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 4\|2 cos(---------------) + 4\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 10\|2 cos(---------------) + 10\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (24\|2 cos(---------------) - 24\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (120\|2 cos(---------------) - 120\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (150\|2 cos(---------------) - 150\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 64\|2 cos(---------------) - 64\|2 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 7 +--R (2\|2 cos(---------------) - 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (6\|2 cos(---------------) - 6\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- \|2 cos(---------------) + \|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 14\|2 cos(---------------) + 14\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (17\|2 cos(---------------) - 17\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (92\|2 cos(---------------) - 92\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (82\|2 cos(---------------) - 82\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 16\|2 cos(---------------) - 16\|2 +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 7 +--R (2\|2 cos(---------------) - 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (6\|2 cos(---------------) - 6\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (2\|2 cos(---------------) - 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 6\|2 cos(---------------) + 6\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (4\|2 cos(---------------) - 4\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (24\|2 cos(---------------) - 24\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (16\|2 cos(---------------) - 16\|2 )cos(d x + c) +--R 4 +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R 2d x + %pi + 2c 2 +--R (4cos(---------------) - 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 8cos(---------------) - 8 +--R 4 +--R * +--R 6 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 3 +--R (6cos(---------------) - 6)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (12cos(---------------) - 12)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (20cos(---------------) - 20)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 24cos(---------------) - 24 +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 4cos(---------------) + 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 4cos(---------------) + 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (8cos(---------------) - 8)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 16cos(---------------) - 16 +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 5 +--R (2cos(---------------) - 2)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 4cos(---------------) + 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 56cos(---------------) + 56)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 104cos(---------------) + 104)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 72cos(---------------) + 72)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 16cos(---------------) + 16 +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 4cos(---------------) + 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (4cos(---------------) - 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (16cos(---------------) - 16)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 84cos(---------------) + 84)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 192cos(---------------) + 192)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 124cos(---------------) + 124)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 24cos(---------------) + 24 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 7 +--R (- 4cos(---------------) + 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 16cos(---------------) + 16)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 2cos(---------------) + 2)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (28cos(---------------) - 28)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 46cos(---------------) + 46)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 132cos(---------------) + 132)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 76cos(---------------) + 76)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 8cos(---------------) + 8 +--R 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 7 +--R (- 4cos(---------------) + 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 12cos(---------------) + 12)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 4cos(---------------) + 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (12cos(---------------) - 12)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 8cos(---------------) + 8)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 32cos(---------------) + 32)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 16cos(---------------) + 16)cos(d x + c) +--R 4 +--R * +--R +--+ +--R \|2a +--R * +--R +------------------+ +--R \|a sin(d x + c) + a +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (8\|2 cos(---------------) - 8\|2 cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R 8\|2 cos(---------------) - 8\|2 cos(---------------) +--R 4 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 8\|2 cos(---------------) + 8\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 8\|2 cos(---------------) + 8\|2 )cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 8\|2 cos(---------------) + 8\|2 cos(---------------)) +--R 4 4 +--R * +--R 3 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 16\|2 cos(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 16\|2 cos(---------------) +--R 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (16\|2 cos(---------------) - 16\|2 cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R 24\|2 cos(---------------) - 24\|2 cos(---------------) +--R 4 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (8\|2 cos(---------------) - 8\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (16\|2 cos(---------------) - 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 8\|2 cos(---------------) + 8\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 16\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (2\|2 cos(---------------) - 2\|2 cos(---------------)) +--R 4 4 +--R * +--R 5 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (10\|2 cos(---------------) - 10\|2 cos(---------------)) +--R 4 4 +--R * +--R 4 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 8\|2 cos(---------------) + 8\|2 cos(---------------)) +--R 4 4 +--R * +--R 3 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 48\|2 cos(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 48\|2 cos(---------------) +--R 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 16\|2 cos(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 16\|2 cos(---------------) +--R 4 +--R * +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R 16\|2 cos(---------------) - 16\|2 cos(---------------) +--R 4 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (- 2\|2 cos(---------------) + 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 10\|2 cos(---------------) + 10\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (32\|2 cos(---------------) - 32\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (24\|2 cos(---------------) - 24\|2 )cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 2\|2 cos(---------------) + 2\|2 cos(---------------)) +--R 4 4 +--R * +--R 6 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (26\|2 cos(---------------) - 26\|2 cos(---------------)) +--R 4 4 +--R * +--R 4 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (24\|2 cos(---------------) - 24\|2 cos(---------------)) +--R 4 4 +--R * +--R 3 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 48\|2 cos(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 48\|2 cos(---------------) +--R 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 64\|2 cos(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 64\|2 cos(---------------) +--R 4 +--R * +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R - 16\|2 cos(---------------) + 16\|2 cos(---------------) +--R 4 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 7 +--R (2\|2 cos(---------------) - 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (2\|2 cos(---------------) - 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 16\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 24\|2 cos(---------------) + 24\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (16\|2 cos(---------------) - 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (40\|2 cos(---------------) - 40\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (16\|2 cos(---------------) - 16\|2 )cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 4\|2 cos(---------------) + 4\|2 cos(---------------)) +--R 4 4 +--R * +--R 6 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 6\|2 cos(---------------) + 6\|2 cos(---------------)) +--R 4 4 +--R * +--R 5 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (22\|2 cos(---------------) - 22\|2 cos(---------------)) +--R 4 4 +--R * +--R 4 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (40\|2 cos(---------------) - 40\|2 cos(---------------)) +--R 4 4 +--R * +--R 3 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 16\|2 cos(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 16\|2 cos(---------------) +--R 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 56\|2 cos(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 56\|2 cos(---------------) +--R 4 +--R * +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R - 24\|2 cos(---------------) + 24\|2 cos(---------------) +--R 4 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 7 +--R (2\|2 cos(---------------) - 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (4\|2 cos(---------------) - 4\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 6\|2 cos(---------------) + 6\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 16\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (16\|2 cos(---------------) - 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (8\|2 cos(---------------) - 8\|2 )cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 2\|2 cos(---------------) + 2\|2 cos(---------------)) +--R 4 4 +--R * +--R 6 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 4\|2 cos(---------------) + 4\|2 cos(---------------)) +--R 4 4 +--R * +--R 5 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (6\|2 cos(---------------) - 6\|2 cos(---------------)) +--R 4 4 +--R * +--R 4 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (16\|2 cos(---------------) - 16\|2 cos(---------------)) +--R 4 4 +--R * +--R 3 +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R (- 16\|2 cos(---------------) + 16\|2 cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +-+ 2d x + %pi + 2c +--R - 8\|2 cos(---------------) + 8\|2 cos(---------------) +--R 4 4 +--R * +--R +--+ 2d x + %pi + 2c +--R \|2a atanh(cos(---------------)) +--R 4 +--R + +--R +-+ +-+ 2d x + %pi + 2c 2 +--R (8\|2 cos(d x + c) + 8\|2 )sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 16\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 16\|2 cos(---------------) + 16\|2 +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 8\|2 cos(d x + c) - 16\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 16\|2 cos(d x + c) + 24\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (16\|2 cos(---------------) - 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (32\|2 cos(---------------) - 32\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 16\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 32\|2 cos(---------------) + 32\|2 +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 5 +-+ 4 +--R 2\|2 cos(d x + c) + 10\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 8\|2 cos(d x + c) - 48\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 16\|2 cos(d x + c) + 16\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 4\|2 cos(---------------) + 4\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 20\|2 cos(---------------) + 20\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 24\|2 cos(---------------) + 24\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (40\|2 cos(---------------) - 40\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (48\|2 cos(---------------) - 48\|2 )cos(d x + c) +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 6 +-+ 4 +--R - 2\|2 cos(d x + c) + 26\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 24\|2 cos(d x + c) - 48\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 64\|2 cos(d x + c) - 16\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (4\|2 cos(---------------) - 4\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (28\|2 cos(---------------) - 28\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (16\|2 cos(---------------) - 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 48\|2 cos(---------------) + 48\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (8\|2 cos(---------------) - 8\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (80\|2 cos(---------------) - 80\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 32\|2 cos(---------------) - 32\|2 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 6 +-+ 5 +--R - 4\|2 cos(d x + c) - 6\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R 22\|2 cos(d x + c) + 40\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R - 16\|2 cos(d x + c) - 56\|2 cos(d x + c) - 24\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 7 +--R (- 6\|2 cos(---------------) + 6\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (- 26\|2 cos(---------------) + 26\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 16\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (36\|2 cos(---------------) - 36\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (40\|2 cos(---------------) - 40\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (24\|2 cos(---------------) - 24\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (32\|2 cos(---------------) - 32\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 16\|2 cos(---------------) - 16\|2 +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 6 +-+ 5 +--R - 2\|2 cos(d x + c) - 4\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +-+ +--R 6\|2 cos(d x + c) + 16\|2 cos(d x + c) - 16\|2 cos(d x + c) +--R + +--R +-+ +--R - 8\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 8 +--R (6\|2 cos(---------------) - 6\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 7 +--R (12\|2 cos(---------------) - 12\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (- 18\|2 cos(---------------) + 18\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 48\|2 cos(---------------) + 48\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (48\|2 cos(---------------) - 48\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (24\|2 cos(---------------) - 24\|2 )cos(d x + c) +--R 4 +--R * +--R +--+ +--R \|2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 8a cos(---------------) + 8a cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 16a cos(---------------) + 16a cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R - 8a cos(---------------) + 8a cos(---------------) +--R 4 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 3 +--R (8a cos(---------------) - 8a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (16a cos(---------------) - 16a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (8a cos(---------------) - 8a)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c 4 +--R (8a cos(---------------) - 8a cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (16a cos(---------------) - 16a cos(---------------)) +--R 4 4 +--R * +--R 3 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 16a cos(---------------) + 16a cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R - 8a cos(---------------) + 8a cos(---------------) +--R 4 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 8a cos(---------------) + 8a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 16a cos(---------------) + 16a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 8a cos(---------------) + 8a)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 2a cos(---------------) + 2a cos(---------------)) +--R 4 4 +--R * +--R 6 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 4a cos(---------------) + 4a cos(---------------)) +--R 4 4 +--R * +--R 5 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 2a cos(---------------) + 2a cos(---------------)) +--R 4 4 +--R * +--R 4 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (48a cos(---------------) - 48a cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (96a cos(---------------) - 96a cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R 48a cos(---------------) - 48a cos(---------------) +--R 4 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 7 +--R (2a cos(---------------) - 2a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (4a cos(---------------) - 4a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (10a cos(---------------) - 10a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (16a cos(---------------) - 16a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 40a cos(---------------) + 40a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 96a cos(---------------) + 96a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 48a cos(---------------) + 48a)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c 6 +--R (2a cos(---------------) - 2a cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c 5 +--R (4a cos(---------------) - 4a cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 46a cos(---------------) + 46a cos(---------------)) +--R 4 4 +--R * +--R 4 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 96a cos(---------------) + 96a cos(---------------)) +--R 4 4 +--R * +--R 3 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (64a cos(---------------) - 64a cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (224a cos(---------------) - 224a cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R 112a cos(---------------) - 112a cos(---------------) +--R 4 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 7 +--R (- 4a cos(---------------) + 4a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 8a cos(---------------) + 8a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (36a cos(---------------) - 36a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (80a cos(---------------) - 80a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 24a cos(---------------) + 24a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 128a cos(---------------) + 128a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 64a cos(---------------) + 64a)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (10a cos(---------------) - 10a cos(---------------)) +--R 4 4 +--R * +--R 6 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (20a cos(---------------) - 20a cos(---------------)) +--R 4 4 +--R * +--R 5 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 54a cos(---------------) + 54a cos(---------------)) +--R 4 4 +--R * +--R 4 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (- 128a cos(---------------) + 128a cos(---------------)) +--R 4 4 +--R * +--R 3 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (24a cos(---------------) - 24a cos(---------------)) +--R 4 4 +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (176a cos(---------------) - 176a cos(---------------)) +--R 4 4 +--R * +--R cos(d x + c) +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R 88a cos(---------------) - 88a cos(---------------) +--R 4 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 7 +--R (- 6a cos(---------------) + 6a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 12a cos(---------------) + 12a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (18a cos(---------------) - 18a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (48a cos(---------------) - 48a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 48a cos(---------------) + 48a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 24a cos(---------------) + 24a)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c 6 +--R (6a cos(---------------) - 6a cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c 5 +--R (12a cos(---------------) - 12a cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c 4 +--R (- 18a cos(---------------) + 18a cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c 3 +--R (- 48a cos(---------------) + 48a cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R (48a cos(---------------) - 48a cos(---------------))cos(d x + c) +--R 4 4 +--R + +--R 2d x + %pi + 2c 3 2d x + %pi + 2c +--R 24a cos(---------------) - 24a cos(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R atanh(cos(---------------)) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 +--R (- 8a cos(d x + c) - 16a cos(d x + c) - 8a)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (16a cos(---------------) - 16a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (32a cos(---------------) - 32a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 16a cos(---------------) - 16a +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R 4 3 +--R (8a cos(d x + c) + 16a cos(d x + c) - 16a cos(d x + c) - 8a) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 16a cos(---------------) + 16a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 32a cos(---------------) + 32a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 16a cos(---------------) + 16a)cos(d x + c) +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 6 5 4 +--R - 2a cos(d x + c) - 4a cos(d x + c) - 2a cos(d x + c) +--R + +--R 2 +--R 48a cos(d x + c) + 96a cos(d x + c) + 48a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (4a cos(---------------) - 4a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (8a cos(---------------) - 8a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (44a cos(---------------) - 44a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (80a cos(---------------) - 80a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 56a cos(---------------) + 56a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 192a cos(---------------) + 192a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 96a cos(---------------) + 96a +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 5 4 +--R 2a cos(d x + c) + 4a cos(d x + c) - 46a cos(d x + c) +--R + +--R 3 2 +--R - 96a cos(d x + c) + 64a cos(d x + c) + 224a cos(d x + c) + 112a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 32a cos(---------------) + 32a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 64a cos(---------------) + 64a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (24a cos(---------------) - 24a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (112a cos(---------------) - 112a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 72a cos(---------------) + 72a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 256a cos(---------------) + 256a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 128a cos(---------------) + 128a +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 6 5 4 +--R 10a cos(d x + c) + 20a cos(d x + c) - 54a cos(d x + c) +--R + +--R 3 2 +--R - 128a cos(d x + c) + 24a cos(d x + c) + 176a cos(d x + c) + 88a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 8 +--R (6a cos(---------------) - 6a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 7 +--R (12a cos(---------------) - 12a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (42a cos(---------------) - 42a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (72a cos(---------------) - 72a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 36a cos(---------------) + 36a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 144a cos(---------------) + 144a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 120a cos(---------------) + 120a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 96a cos(---------------) + 96a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 48a cos(---------------) + 48a +--R 4 +--R * +--R sin(d x + c) +--R + +--R 6 5 4 +--R 6a cos(d x + c) + 12a cos(d x + c) - 18a cos(d x + c) +--R + +--R 3 +--R - 48a cos(d x + c) + 48a cos(d x + c) + 24a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 8 +--R (- 18a cos(---------------) + 18a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 7 +--R (- 36a cos(---------------) + 36a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (54a cos(---------------) - 54a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (144a cos(---------------) - 144a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 144a cos(---------------) + 144a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 72a cos(---------------) + 72a)cos(d x + c) +--R 4 +--R / +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (32a\|2 cos(---------------) - 32a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 32a\|2 cos(---------------) - 32a\|2 +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 32a\|2 cos(---------------) + 32a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 64a\|2 cos(---------------) + 64a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (64a\|2 cos(---------------) - 64a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 96a\|2 cos(---------------) - 96a\|2 +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (8a\|2 cos(---------------) - 8a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (40a\|2 cos(---------------) - 40a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 32a\|2 cos(---------------) + 32a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 192a\|2 cos(---------------) + 192a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 64a\|2 cos(---------------) + 64a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 64a\|2 cos(---------------) - 64a\|2 +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (- 8a\|2 cos(---------------) + 8a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (104a\|2 cos(---------------) - 104a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (96a\|2 cos(---------------) - 96a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 192a\|2 cos(---------------) + 192a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 256a\|2 cos(---------------) + 256a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 64a\|2 cos(---------------) + 64a\|2 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (- 16a\|2 cos(---------------) + 16a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 24a\|2 cos(---------------) + 24a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (88a\|2 cos(---------------) - 88a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (160a\|2 cos(---------------) - 160a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 64a\|2 cos(---------------) + 64a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 224a\|2 cos(---------------) + 224a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 96a\|2 cos(---------------) + 96a\|2 +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (- 8a\|2 cos(---------------) + 8a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 16a\|2 cos(---------------) + 16a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (24a\|2 cos(---------------) - 24a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (64a\|2 cos(---------------) - 64a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 64a\|2 cos(---------------) + 64a\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 32a\|2 cos(---------------) + 32a\|2 +--R 4 +--R * +--R +--+ +------------------+ +--R \|2a \|a cos(d x + c) + a +--R + +--R 2 2d x + %pi + 2c 2 2 2 +--R (- 32a cos(---------------) + 32a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R (- 64a cos(---------------) + 64a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R - 32a cos(---------------) + 32a +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R 2 2d x + %pi + 2c 2 2 4 +--R (32a cos(---------------) - 32a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 3 +--R (64a cos(---------------) - 64a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R (- 64a cos(---------------) + 64a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R - 32a cos(---------------) + 32a +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 2 2d x + %pi + 2c 2 2 6 +--R (- 8a cos(---------------) + 8a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 5 +--R (- 16a cos(---------------) + 16a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 4 +--R (- 8a cos(---------------) + 8a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 2 +--R (192a cos(---------------) - 192a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R (384a cos(---------------) - 384a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R 192a cos(---------------) - 192a +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 2d x + %pi + 2c 2 2 6 +--R (8a cos(---------------) - 8a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 5 +--R (16a cos(---------------) - 16a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 4 +--R (- 184a cos(---------------) + 184a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 3 +--R (- 384a cos(---------------) + 384a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 2 +--R (256a cos(---------------) - 256a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R (896a cos(---------------) - 896a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R 448a cos(---------------) - 448a +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2 2d x + %pi + 2c 2 2 6 +--R (40a cos(---------------) - 40a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 5 +--R (80a cos(---------------) - 80a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 4 +--R (- 216a cos(---------------) + 216a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 3 +--R (- 512a cos(---------------) + 512a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 2 +--R (96a cos(---------------) - 96a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R (704a cos(---------------) - 704a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R 352a cos(---------------) - 352a +--R 4 +--R * +--R sin(d x + c) +--R + +--R 2 2d x + %pi + 2c 2 2 6 +--R (24a cos(---------------) - 24a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 5 +--R (48a cos(---------------) - 48a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 4 +--R (- 72a cos(---------------) + 72a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 3 +--R (- 192a cos(---------------) + 192a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R (192a cos(---------------) - 192a )cos(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 2 +--R 96a cos(---------------) - 96a +--R 4 +--R * +--R +------------------+ +--R \|a sin(d x + c) + a +--R Type: Expression Integer +--E 153 + +--S 154 of 520 +m0028b:= a0028.2-r0028 +--R +--R +--R (102) +--R +-+ +-+ 2 +--R (- 2\|2 cos(d x + c) - 2\|2 )sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R (\|2 cos(d x + c) + \|2 cos(d x + c) - 4\|2 cos(d x + c) - 4\|2 ) +--R * +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R \|2 cos(d x + c) + \|2 cos(d x + c) - 2\|2 cos(d x + c) - 2\|2 +--R * +--R +----+ +------------------+ +--R \|- 2a \|a sin(d x + c) + a +--R * +--R atan +--R +-+ +-+ +-+ +----+ +--R (\|2 sin(d x + c) - \|2 cos(d x + c) - \|2 )\|- 2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 4a cos(d x + c) + 4a +--R + +--R 2 +--R - 2cos(d x + c)sin(d x + c) +--R + +--R 2 2 +--R (- 2cos(d x + c) - 4cos(d x + c))sin(d x + c) - 2cos(d x + c) +--R + +--R - 2cos(d x + c) +--R * +--R +------------------+ +------------------+ +--R \|a cos(d x + c) + a \|a sin(d x + c) + a +--R + +--R +-+ +-+ 2d x + %pi + 2c 2 +--R (4a\|2 cos(d x + c) + 4a\|2 )sin(---------------)sin(d x + c) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 2a\|2 cos(d x + c) - 2a\|2 cos(d x + c) + 8a\|2 cos(d x + c) +--R + +--R +-+ +--R 8a\|2 +--R * +--R 2d x + %pi + 2c +--R sin(---------------)sin(d x + c) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 2a\|2 cos(d x + c) - 2a\|2 cos(d x + c) + 4a\|2 cos(d x + c) +--R + +--R +-+ +--R 4a\|2 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c +--R atanh(cos(---------------)) +--R 4 +--R + +--R +-+ 2 +-+ +--R (4a\|2 cos(d x + c) + 4a\|2 cos(d x + c))sin(d x + c) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 2a\|2 cos(d x + c) - 2a\|2 cos(d x + c) + 4a\|2 cos(d x + c) +--R + +--R +-+ +--R 4a\|2 cos(d x + c) +--R / +--R 2 +-+ 2 +-+ 2 +--R (8a d\|2 cos(d x + c) + 8a d\|2 )sin(d x + c) +--R + +--R 2 +-+ 3 2 +-+ 2 +--R - 4a d\|2 cos(d x + c) - 4a d\|2 cos(d x + c) +--R + +--R 2 +-+ 2 +-+ +--R 16a d\|2 cos(d x + c) + 16a d\|2 +--R * +--R sin(d x + c) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 4a d\|2 cos(d x + c) - 4a d\|2 cos(d x + c) + 8a d\|2 cos(d x + c) +--R + +--R 2 +-+ +--R 8a d\|2 +--R * +--R +------------------+ +--R \|a sin(d x + c) + a +--R Type: Expression Integer +--E 154 + +--S 155 of 520 +d0028b:= D(m0028b,x) +--R +--R +--R (103) +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (2\|2 cos(---------------) - 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 4\|2 cos(---------------) - 4\|2 +--R 4 +--R * +--R 7 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (3\|2 cos(---------------) - 3\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (4\|2 cos(---------------) - 4\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 4\|2 cos(---------------) + 4\|2 )cos(d x + c) +--R 4 +--R * +--R 6 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 5\|2 cos(---------------) + 5\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 3\|2 cos(---------------) + 3\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 24\|2 cos(---------------) + 24\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 90\|2 cos(---------------) + 90\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 60\|2 cos(---------------) + 60\|2 +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (\|2 cos(---------------) - \|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 4\|2 cos(---------------) + 4\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 38\|2 cos(---------------) + 38\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 168\|2 cos(---------------) + 168\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 296\|2 cos(---------------) + 296\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 160\|2 cos(---------------) + 160\|2 +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (- 5\|2 cos(---------------) + 5\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- \|2 cos(---------------) + \|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (24\|2 cos(---------------) - 24\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 78\|2 cos(---------------) + 78\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 352\|2 cos(---------------) + 352\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 434\|2 cos(---------------) + 434\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 180\|2 cos(---------------) + 180\|2 +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 7 +--R (- 2\|2 cos(---------------) + 2\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (- 16\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 7\|2 cos(---------------) + 7\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (46\|2 cos(---------------) - 46\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 81\|2 cos(---------------) + 81\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 348\|2 cos(---------------) + 348\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 324\|2 cos(---------------) + 324\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 96\|2 cos(---------------) + 96\|2 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 7 +--R (- 4\|2 cos(---------------) + 4\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (- 17\|2 cos(---------------) + 17\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 7\|2 cos(---------------) + 7\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (29\|2 cos(---------------) - 29\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 47\|2 cos(---------------) + 47\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 168\|2 cos(---------------) + 168\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 118\|2 cos(---------------) + 118\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 20\|2 cos(---------------) + 20\|2 +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 7 +--R (- 2\|2 cos(---------------) + 2\|2 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(88cos(---------------) - 88)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (224cos(---------------) - 224)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 96cos(---------------) - 96 +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 6 5 4 +--R - 4cos(d x + c) - 12cos(d x + c) + 56cos(d x + c) +--R + +--R 3 2 +--R 144cos(d x + c) - 80cos(d x + c) - 320cos(d x + c) - 160 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (8cos(---------------) - 8)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (52cos(---------------) - 52)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 4cos(---------------) + 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 192cos(---------------) + 192)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (48cos(---------------) - 48)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (416cos(---------------) - 416)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 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+--R + +--R 7 6 5 +--R 4cos(d x + c) - 8cos(d x + c) - 52cos(d x + c) +--R + +--R 4 3 2 +--R 24cos(d x + c) + 184cos(d x + c) + 40cos(d x + c) +--R + +--R - 192cos(d x + c) - 112 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 8 +--R (12cos(---------------) - 12)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 7 +--R (44cos(---------------) - 44)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 56cos(---------------) + 56)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 228cos(---------------) + 228)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 28cos(---------------) + 28)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (240cos(---------------) - 240)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (160cos(---------------) - 160)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (80cos(---------------) - 80)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 48cos(---------------) - 48 +--R 4 +--R * +--R sin(d x + c) +--R + +--R 7 6 5 +--R 2cos(d x + c) - 2cos(d x + c) - 18cos(d x + c) +--R + +--R 4 3 2 +--R 2cos(d x + c) + 48cos(d x + c) + 16cos(d x + c) +--R + +--R - 40cos(d x + c) - 24 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 9 +--R (- 6cos(---------------) + 6)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 8 +--R (6cos(---------------) - 6)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 7 +--R (54cos(---------------) - 54)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 6cos(---------------) + 6)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 144cos(---------------) + 144)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 48cos(---------------) + 48)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (120cos(---------------) - 120)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (72cos(---------------) - 72)cos(d x + c) +--R 4 +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 2d x + %pi + 2c 2 +--R (32a cos(---------------) - 32a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 32a cos(---------------) - 32a +--R 4 +--R * +--R 6 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 32a cos(---------------) + 32a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 96a cos(---------------) + 96a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 64a cos(---------------) - 64a +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 5 +--R (8a cos(---------------) - 8a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (72a cos(---------------) - 72a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (64a cos(---------------) - 64a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 320a cos(---------------) + 320a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 480a cos(---------------) + 480a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 160a cos(---------------) + 160a +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 16a cos(---------------) + 16a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 48a cos(---------------) + 48a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (224a cos(---------------) - 224a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (576a cos(---------------) - 576a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 320a cos(---------------) + 320a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 1280a cos(---------------) + 1280a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 640a cos(---------------) + 640a +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 7 +--R (8a cos(---------------) - 8a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 40a cos(---------------) + 40a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 192a cos(---------------) + 192a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (240a cos(---------------) - 240a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (1024a cos(---------------) - 1024a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 1440a cos(---------------) + 1440a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 800a cos(---------------) + 800a +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 7 +--R (16a cos(---------------) - 16a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 32a cos(---------------) + 32a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 208a cos(---------------) + 208a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (96a cos(---------------) - 96a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (736a cos(---------------) - 736a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (160a cos(---------------) - 160a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 768a cos(---------------) + 768a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 448a cos(---------------) + 448a +--R 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 7 +--R (8a cos(---------------) - 8a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 8a cos(---------------) + 8a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 72a cos(---------------) + 72a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (8a cos(---------------) - 8a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (192a cos(---------------) - 192a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (64a cos(---------------) - 64a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 160a cos(---------------) + 160a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 96a cos(---------------) + 96a +--R 4 +--R * +--R +------------------+ +------------------+ +--R \|a cos(d x + c) + a \|a sin(d x + c) + a +--R Type: Expression Integer +--E 155 + +--S 156 of 520 +t0029:= 1/(a+a*sin(c+d*x))^(5/2) +--R +--R +--R 1 +--R (104) ------------------------------------------------------------- +--R 2 2 2 2 +------------------+ +--R (a sin(d x + c) + 2a sin(d x + c) + a )\|a sin(d x + c) + a +--R Type: Expression Integer +--E 156 + +--S 157 of 520 +r0029:= -1/4*cos(c+d*x)/d/(a+a*sin(c+d*x))^(5/2)-3/16*cos(c+d*x)/a/d/(a+a*sin(c+d*x))^(3/2)-3/16*atanh(cos(1/2*c+1/4*%pi+1/2*d*x))*sin(1/2*c+1/4*%pi+1/2*d*x)/a^2/d/(a+a*sin(c+d*x))^(1/2) +--R +--R +--R (105) +--R 2d x + %pi + 2c 2 +--R - 3sin(---------------)sin(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2d x + %pi + 2c +--R - 6sin(---------------)sin(d x + c) - 3sin(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R atanh(cos(---------------)) +--R 4 +--R + +--R - 3cos(d x + c)sin(d x + c) - 7cos(d x + c) +--R / +--R 2 2 2 2 +------------------+ +--R (16a d sin(d x + c) + 32a d sin(d x + c) + 16a d)\|a sin(d x + c) + a +--R Type: Expression Integer +--E 157 + +--S 158 of 520 +a0029:= integrate(t0029,x) +--R +--R +--R (106) +--R [ +--R +-+ 3 +-+ 2 +-+ +--R 12\|2 cos(d x + c) + 12\|2 cos(d x + c) - 24\|2 cos(d x + c) +--R + +--R +-+ +--R - 24\|2 +--R * +--R sin(d x + c) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 3\|2 cos(d x + c) - 3\|2 cos(d x + c) + 24\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R 24\|2 cos(d x + c) - 24\|2 cos(d x + c) - 24\|2 +--R * +--R +--+ +--R \|2a +--R * +--R log +--R +-+ +-+ +-+ +--+ +--R (\|2 sin(d x + c) - \|2 cos(d x + c) - \|2 )\|2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- a cos(d x + c) - a)sin(d x + c) + 3a cos(d x + c) + 3a +--R / +--R (cos(d x + c) + 1)sin(d x + c) + cos(d x + c) + 1 +--R + +--R 3 2 +--R (- 12cos(d x + c) + 40cos(d x + c) + 80cos(d x + c))sin(d x + c) +--R + +--R 4 3 2 +--R - 12cos(d x + c) - 52cos(d x + c) + 40cos(d x + c) +--R + +--R 80cos(d x + c) +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 3 +-+ 3 3 +-+ 2 +--R 256a d\|2 cos(d x + c) + 256a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 +-+ +--R - 512a d\|2 cos(d x + c) - 512a d\|2 +--R * +--R sin(d x + c) +--R + +--R 3 +-+ 5 3 +-+ 4 +--R - 64a d\|2 cos(d x + c) - 64a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 3 +-+ 2 +--R 512a d\|2 cos(d x + c) + 512a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 +-+ +--R - 512a d\|2 cos(d x + c) - 512a d\|2 +--R , +--R +--R +-+ 3 +-+ 2 +--R - 12\|2 cos(d x + c) - 12\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 24\|2 cos(d x + c) + 24\|2 +--R * +--R sin(d x + c) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 3\|2 cos(d x + c) + 3\|2 cos(d x + c) - 24\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R - 24\|2 cos(d x + c) + 24\|2 cos(d x + c) + 24\|2 +--R * +--R +----+ +--R \|- 2a +--R * +--R atan +--R +-+ +-+ +-+ +----+ +--R (\|2 sin(d x + c) - \|2 cos(d x + c) - \|2 )\|- 2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 4a cos(d x + c) + 4a +--R + +--R 3 2 +--R (- 6cos(d x + c) + 20cos(d x + c) + 40cos(d x + c))sin(d x + c) +--R + +--R 4 3 2 +--R - 6cos(d x + c) - 26cos(d x + c) + 20cos(d x + c) + 40cos(d x + c) +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 3 +-+ 3 3 +-+ 2 +--R 128a d\|2 cos(d x + c) + 128a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 +-+ +--R - 256a d\|2 cos(d x + c) - 256a d\|2 +--R * +--R sin(d x + c) +--R + +--R 3 +-+ 5 3 +-+ 4 +--R - 32a d\|2 cos(d x + c) - 32a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 3 +-+ 2 +--R 256a d\|2 cos(d x + c) + 256a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 +-+ +--R - 256a d\|2 cos(d x + c) - 256a d\|2 +--R ] +--R Type: Union(List Expression Integer,...) +--E 158 + +--S 159 of 520 +--m0029a:= a0029.1-r0029 +--E 159 + +--S 160 of 520 +--d0029a:= D(m0029a,x) +--E 160 + +--S 161 of 520 +--m0029b:= a0029.2-r0029 +--E 161 + +--S 162 of 520 +--d0029b:= D(m0029b,x) +--E 162 + +--S 163 of 520 +t0030:= 1/(a-a*sin(c+d*x))^(1/2) +--R +--R +--R 1 +--R (107) ----------------------- +--R +--------------------+ +--R \|- a sin(d x + c) + a +--R Type: Expression Integer +--E 163 + +--S 164 of 520 +r0030:= 2*atanh(sin(1/2*c+1/4*%pi+1/2*d*x))*cos(1/2*c+1/4*%pi+1/2*d*x)/d/(a-a*sin(c+d*x))^(1/2) +--R +--R +--R 2d x + %pi + 2c 2d x + %pi + 2c +--R 2cos(---------------)atanh(sin(---------------)) +--R 4 4 +--R (108) ------------------------------------------------ +--R +--------------------+ +--R d\|- a sin(d x + c) + a +--R Type: Expression Integer +--E 164 + +--S 165 of 520 +a0030:= integrate(t0030,x) +--R +--R +--R (109) +--R [ +--R +-+ +--R |2 +--R |- +--R \|a +--R * +--R log +--R +-+ +--R +-+ +-+ +-+ |2 +--R (\|2 sin(d x + c) + \|2 cos(d x + c) + \|2 ) |- +--R \|a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- cos(d x + c) - 1)sin(d x + c) - 3cos(d x + c) - 3 +--R / +--R (cos(d x + c) + 1)sin(d x + c) - cos(d x + c) - 1 +--R / +--R 2d +--R , +--R +--R - +--R +-+ +--R |2 +--R |- +--R \|a +--R * +--R log +--R (cos(d x + c) + 1)sin(d x + c) - cos(d x + c) - 1 +--R / +--R +-+ +--R +-+ +-+ +-+ |2 +--R (\|2 sin(d x + c) + \|2 cos(d x + c) + \|2 ) |- +--R \|a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- cos(d x + c) - 1)sin(d x + c) - 3cos(d x + c) - 3 +--R / +--R 2d +--R ] +--R Type: Union(List Expression Integer,...) +--E 165 + +--S 166 of 520 +m0030a:= a0030.1-r0030 +--R +--R +--R (110) +--R +-+ +--R |2 +--------------------+ +--R |- \|- a sin(d x + c) + a +--R \|a +--R * +--R log +--R +-+ +--R +-+ +-+ +-+ |2 +--R (\|2 sin(d x + c) + \|2 cos(d x + c) + \|2 ) |- +--R \|a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- cos(d x + c) - 1)sin(d x + c) - 3cos(d x + c) - 3 +--R / +--R (cos(d x + c) + 1)sin(d x + c) - cos(d x + c) - 1 +--R + +--R 2d x + %pi + 2c 2d x + %pi + 2c +--R - 4cos(---------------)atanh(sin(---------------)) +--R 4 4 +--R / +--R +--------------------+ +--R 2d\|- a sin(d x + c) + a +--R Type: Expression Integer +--E 166 + +--S 167 of 520 +d0030a:= D(m0030a,x) +--R +--R +--R (111) +--R 2 2d x + %pi + 2c 2 +--R (- 4cos(d x + c) - 4cos(d x + c))sin(---------------) +--R 4 +--R + +--R 2 +--R 4cos(d x + c) + 4cos(d x + c) +--R * +--R +-+ +--R |2 +--------------------+ +--R |- \|- a sin(d x + c) + a +--R \|a +--R + +--R 2d x + %pi + 2c 3 +--R (2cos(d x + c) + 2)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c +--R (- 2cos(d x + c) - 2)sin(---------------) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 3 +--R (4cos(d x + c) + 4)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 2cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c +--R (- 4cos(d x + c) - 4)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 2cos(---------------)cos(d x + c) +--R 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 3 +--R (- 6cos(d x + c) - 6)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 6cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 6cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c +--R (6cos(d x + c) + 6)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 6cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 6cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R atanh(sin(---------------)) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2d x + %pi + 2c 2 +--R (2cos(---------------) cos(d x + c) + 2cos(---------------) ) +--R 4 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 2d x + %pi + 2c 2 +--R (4cos(---------------) cos(d x + c) + 4cos(---------------) ) +--R 4 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 2d x + %pi + 2c 2 +--R - 6cos(---------------) cos(d x + c) - 6cos(---------------) +--R 4 4 +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- \|2 sin(---------------) + \|2 )sin(d x + c) +--R 4 +--R + +--R +-+ +-+ 2d x + %pi + 2c 2 +--R (\|2 cos(d x + c) + 2\|2 )sin(---------------) +--R 4 +--R + +--R +-+ +-+ +--R - \|2 cos(d x + c) - 2\|2 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ +-+ 2d x + %pi + 2c 2 +--R (- \|2 cos(d x + c) - \|2 )sin(---------------) +--R 4 +--R + +--R +-+ +-+ +--R \|2 cos(d x + c) + \|2 +--R * +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +--R (2\|2 cos(d x + c) + 6\|2 cos(d x + c) + 4\|2 cos(d x + c)) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 2\|2 cos(d x + c) - 6\|2 cos(d x + c) - 4\|2 cos(d x + c) +--R * +--R +--------------------+ +--R \|- a sin(d x + c) + a +--R + +--R +-+ +-+ 2d x + %pi + 2c 3 +--R (- 2a\|2 cos(d x + c) - 2a\|2 )sin(---------------) +--R 4 +--R + +--R +-+ +-+ 2d x + %pi + 2c +--R (2a\|2 cos(d x + c) + 2a\|2 )sin(---------------) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2 +-+ 2d x + %pi + 2c 3 +--R (- 2a\|2 cos(d x + c) - 2a\|2 cos(d x + c))sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2 +-+ 2d x + %pi + 2c +--R (2a\|2 cos(d x + c) + 2a\|2 cos(d x + c))sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R (2a\|2 cos(d x + c) + 4a\|2 cos(d x + c) + 2a\|2 ) +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2 +-+ +-+ +--R (- 2a\|2 cos(d x + c) - 4a\|2 cos(d x + c) - 2a\|2 ) +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R +-+ +--R |2 2d x + %pi + 2c +--R |- atanh(sin(---------------)) +--R \|a 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 2a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 2a\|2 cos(---------------) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 2 +--R - 2a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 2a\|2 cos(---------------) cos(d x + c) +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 2 +--R 2a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2d x + %pi + 2c 2 +--R 4a\|2 cos(---------------) cos(d x + c) + 2a\|2 cos(---------------) +--R 4 4 +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R / +--R 2d x + %pi + 2c 2 +--R ((2cos(d x + c) + 2)sin(---------------) - 2cos(d x + c) - 2) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 +--R ((4cos(d x + c) + 4)sin(---------------) - 4cos(d x + c) - 4) +--R 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 +--R (- 6cos(d x + c) - 6)sin(---------------) + 6cos(d x + c) + 6 +--R 4 +--R * +--R +--------------------+ +------------------+ +--R \|- a sin(d x + c) + a \|a cos(d x + c) + a +--R + +--R +-+ +-+ 2d x + %pi + 2c 2 +--R (- 2a\|2 cos(d x + c) - 2a\|2 )sin(---------------) +--R 4 +--R + +--R +-+ +-+ +--R 2a\|2 cos(d x + c) + 2a\|2 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2 +-+ 2d x + %pi + 2c 2 +--R (- 2a\|2 cos(d x + c) - 2a\|2 cos(d x + c))sin(---------------) +--R 4 +--R + +--R +-+ 2 +-+ +--R 2a\|2 cos(d x + c) + 2a\|2 cos(d x + c) +--R * +--R sin(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R (2a\|2 cos(d x + c) + 4a\|2 cos(d x + c) + 2a\|2 ) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2 +-+ +-+ +--R - 2a\|2 cos(d x + c) - 4a\|2 cos(d x + c) - 2a\|2 +--R * +--R +-+ +--R |2 +--------------------+ +--R |- \|- a sin(d x + c) + a +--R \|a +--R Type: Expression Integer +--E 167 + +--S 168 of 520 +m0030b:= a0030.2-r0030 +--R +--R +--R (112) +--R - +--R +-+ +--R |2 +--------------------+ +--R |- \|- a sin(d x + c) + a +--R \|a +--R * +--R log +--R (cos(d x + c) + 1)sin(d x + c) - cos(d x + c) - 1 +--R / +--R +-+ +--R +-+ +-+ +-+ |2 +--R (\|2 sin(d x + c) + \|2 cos(d x + c) + \|2 ) |- +--R \|a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- cos(d x + c) - 1)sin(d x + c) - 3cos(d x + c) - 3 +--R + +--R 2d x + %pi + 2c 2d x + %pi + 2c +--R - 4cos(---------------)atanh(sin(---------------)) +--R 4 4 +--R / +--R +--------------------+ +--R 2d\|- a sin(d x + c) + a +--R Type: Expression Integer +--E 168 + +--S 169 of 520 +d0030b:= D(m0030b,x) +--R +--R +--R (113) +--R 2d x + %pi + 2c 2 4 +--R (2sin(---------------) - 2)sin(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 2sin(---------------) + 2)sin(d x + c) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 +--R (- 2cos(d x + c) - 4cos(d x + c) - 2)sin(---------------) +--R 4 +--R + +--R 2 +--R 2cos(d x + c) + 4cos(d x + c) + 2 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 2 +--R (- 8cos(d x + c) - 18cos(d x + c) - 8cos(d x + c) + 2) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 3 2 +--R 8cos(d x + c) + 18cos(d x + c) + 8cos(d x + c) - 2 +--R * +--R sin(d x + c) +--R + +--R 4 3 2 +--R - 4cos(d x + c) - 28cos(d x + c) - 44cos(d x + c) +--R + +--R - 20cos(d x + c) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 4 3 2 +--R 4cos(d x + c) + 28cos(d x + c) + 44cos(d x + c) + 20cos(d x + c) +--R * +--R +-+ +--R |2 +--------------------+ +--R |- \|- a sin(d x + c) + a +--R \|a +--R + +--R 2 2d x + %pi + 2c 3 +--R (2cos(d x + c) + 12cos(d x + c) + 10)sin(---------------) +--R 4 +--R + +--R 2 2d x + %pi + 2c +--R (- 2cos(d x + c) - 12cos(d x + c) - 10)sin(---------------) +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 2d x + %pi + 2c 3 +--R (26cos(d x + c) + 44cos(d x + c) + 18)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 12cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 10cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2 2d x + %pi + 2c +--R (- 26cos(d x + c) - 44cos(d x + c) - 18)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 12cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 10cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 2 +--R (8cos(d x + c) + 14cos(d x + c) + 4cos(d x + c) - 2) +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 28cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 56cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 28cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 3 2 +--R (- 8cos(d x + c) - 14cos(d x + c) - 4cos(d x + c) + 2) +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 28cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 56cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 28cos(---------------)cos(d x + c) +--R 4 +--R * +--R sin(d x + c) +--R + +--R 3 2 +--R (- 8cos(d x + c) - 42cos(d x + c) - 60cos(d x + c) - 26) +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R 8cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 42cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 60cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 26cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 3 2 +--R (8cos(d x + c) + 42cos(d x + c) + 60cos(d x + c) + 26) +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R - 8cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 42cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 60cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 26cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R atanh(sin(---------------)) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R 2cos(---------------) cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2d x + %pi + 2c 2 +--R 12cos(---------------) cos(d x + c) + 10cos(---------------) +--R 4 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 2 +--R 26cos(---------------) cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2d x + %pi + 2c 2 +--R 44cos(---------------) cos(d x + c) + 18cos(---------------) +--R 4 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 3 +--R 8cos(---------------) cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R 14cos(---------------) cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2d x + %pi + 2c 2 +--R 4cos(---------------) cos(d x + c) - 2cos(---------------) +--R 4 4 +--R * +--R sin(d x + c) +--R + +--R 2d x + %pi + 2c 2 3 +--R - 8cos(---------------) cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R - 42cos(---------------) cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2d x + %pi + 2c 2 +--R - 60cos(---------------) cos(d x + c) - 26cos(---------------) +--R 4 4 +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R +-+ +-+ 2d x + %pi + 2c 2 +--R (- \|2 cos(d x + c) - \|2 )sin(---------------) +--R 4 +--R + +--R +-+ +-+ +--R \|2 cos(d x + c) + \|2 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 2 +-+ 2d x + %pi + 2c 2 +--R (\|2 cos(d x + c) - \|2 )sin(---------------) +--R 4 +--R + +--R +-+ 2 +-+ +--R - \|2 cos(d x + c) + \|2 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R (2\|2 cos(d x + c) + 7\|2 cos(d x + c) + 5\|2 ) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2 +-+ +-+ +--R - 2\|2 cos(d x + c) - 7\|2 cos(d x + c) - 5\|2 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R 2\|2 cos(d x + c) + 16\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R 23\|2 cos(d x + c) + 6\|2 cos(d x + c) - 3\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 2\|2 cos(d x + c) - 16\|2 cos(d x + c) - 23\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 6\|2 cos(d x + c) + 3\|2 +--R * +--R sin(d x + c) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 14\|2 cos(d x + c) + 48\|2 cos(d x + c) + 54\|2 cos(d x + c) +--R + +--R +-+ +--R 20\|2 cos(d x + c) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 14\|2 cos(d x + c) - 48\|2 cos(d x + c) - 54\|2 cos(d x + c) +--R + +--R +-+ +--R - 20\|2 cos(d x + c) +--R * +--R +--------------------+ +--R \|- a sin(d x + c) + a +--R + +--R +-+ 2 +-+ +-+ +--R (- 4a\|2 cos(d x + c) - 8a\|2 cos(d x + c) - 4a\|2 ) +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2 +-+ +-+ +--R (4a\|2 cos(d x + c) + 8a\|2 cos(d x + c) + 4a\|2 ) +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 4a\|2 cos(d x + c) - 20a\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 28a\|2 cos(d x + c) - 12a\|2 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 8a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +--R 4a\|2 cos(d x + c) + 20a\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 28a\|2 cos(d x + c) + 12a\|2 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 8a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +--R (- 8a\|2 cos(d x + c) - 12a\|2 cos(d x + c) + 4a\|2 ) +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 4 +--R - 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 24a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 36a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 16a\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R (8a\|2 cos(d x + c) + 12a\|2 cos(d x + c) - 4a\|2 ) +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 4 +--R 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R 24a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 36a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 16a\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +--R 12a\|2 cos(d x + c) + 36a\|2 cos(d x + c) + 36a\|2 cos(d x + c) +--R + +--R +-+ +--R 12a\|2 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 4 +--R - 12a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 36a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 36a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 12a\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +--R - 12a\|2 cos(d x + c) - 36a\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 36a\|2 cos(d x + c) - 12a\|2 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 4 +--R 12a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R 36a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 36a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 12a\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R +-+ +--R |2 2d x + %pi + 2c +--R |- atanh(sin(---------------)) +--R \|a 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2 +--R - 4a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 8a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 4a\|2 cos(---------------) +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 3 +--R - 4a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2 +--R - 20a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 28a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 12a\|2 cos(---------------) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 3 +--R - 8a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2 +--R - 12a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 4a\|2 cos(---------------) +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 3 +--R 12a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2 +--R 36a\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2d x + %pi + 2c 2 +--R 36a\|2 cos(---------------) cos(d x + c) + 12a\|2 cos(---------------) +--R 4 4 +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R / +--R 2 2d x + %pi + 2c 2 +--R (2cos(d x + c) + 12cos(d x + c) + 10)sin(---------------) +--R 4 +--R + +--R 2 +--R - 2cos(d x + c) - 12cos(d x + c) - 10 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 2d x + %pi + 2c 2 +--R (26cos(d x + c) + 44cos(d x + c) + 18)sin(---------------) +--R 4 +--R + +--R 2 +--R - 26cos(d x + c) - 44cos(d x + c) - 18 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 2 +--R (8cos(d x + c) + 14cos(d x + c) + 4cos(d x + c) - 2) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 3 2 +--R - 8cos(d x + c) - 14cos(d x + c) - 4cos(d x + c) + 2 +--R * +--R sin(d x + c) +--R + +--R 3 2 +--R (- 8cos(d x + c) - 42cos(d x + c) - 60cos(d x + c) - 26) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 3 2 +--R 8cos(d x + c) + 42cos(d x + c) + 60cos(d x + c) + 26 +--R * +--R +--------------------+ +------------------+ +--R \|- a sin(d x + c) + a \|a cos(d x + c) + a +--R + +--R +-+ 2 +-+ +-+ +--R (- 4a\|2 cos(d x + c) - 8a\|2 cos(d x + c) - 4a\|2 ) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2 +-+ +-+ +--R 4a\|2 cos(d x + c) + 8a\|2 cos(d x + c) + 4a\|2 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 4a\|2 cos(d x + c) - 20a\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 28a\|2 cos(d x + c) - 12a\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R 4a\|2 cos(d x + c) + 20a\|2 cos(d x + c) + 28a\|2 cos(d x + c) +--R + +--R +-+ +--R 12a\|2 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +--R (- 8a\|2 cos(d x + c) - 12a\|2 cos(d x + c) + 4a\|2 ) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R 8a\|2 cos(d x + c) + 12a\|2 cos(d x + c) - 4a\|2 +--R * +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +--R 12a\|2 cos(d x + c) + 36a\|2 cos(d x + c) + 36a\|2 cos(d x + c) +--R + +--R +-+ +--R 12a\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 12a\|2 cos(d x + c) - 36a\|2 cos(d x + c) - 36a\|2 cos(d x + c) +--R + +--R +-+ +--R - 12a\|2 +--R * +--R +-+ +--R |2 +--------------------+ +--R |- \|- a sin(d x + c) + a +--R \|a +--R Type: Expression Integer +--E 169 + +--S 170 of 520 +t0031:= 1/(a-a*sin(c+d*x))^(3/2) +--R +--R +--R 1 +--R (114) - ------------------------------------------- +--R +--------------------+ +--R (a sin(d x + c) - a)\|- a sin(d x + c) + a +--R Type: Expression Integer +--E 170 + +--S 171 of 520 +r0031:= 1/2*cos(c+d*x)/d/(a-a*sin(c+d*x))^(3/2)+1/2*atanh(sin(1/2*c+1/4*%pi+1/2*d*x))*cos(1/2*c+1/4*%pi+1/2*d*x)/a/d/(a-a*sin(c+d*x))^(1/2) +--R +--R +--R (115) +--R 2d x + %pi + 2c 2d x + %pi + 2c +--R (cos(---------------)sin(d x + c) - cos(---------------)) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R atanh(sin(---------------)) +--R 4 +--R + +--R - cos(d x + c) +--R / +--R +--------------------+ +--R (2a d sin(d x + c) - 2a d)\|- a sin(d x + c) + a +--R Type: Expression Integer +--E 171 + +--S 172 of 520 +a0031:= integrate(t0031,x) +--R +--R +--R (116) +--R [ +--R +-+ +-+ +-+ 3 +--R (2\|2 cos(d x + c) + 2\|2 )sin(d x + c) + \|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R \|2 cos(d x + c) - 2\|2 cos(d x + c) - 2\|2 +--R * +--R +--+ +--R \|2a +--R * +--R log +--R +-+ +-+ +-+ +--+ +--R (\|2 sin(d x + c) + \|2 cos(d x + c) + \|2 )\|2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- a cos(d x + c) - a)sin(d x + c) - 3a cos(d x + c) - 3a +--R / +--R (cos(d x + c) + 1)sin(d x + c) - cos(d x + c) - 1 +--R + +--R 2 +--R (- 4cos(d x + c)sin(d x + c) + 4cos(d x + c) + 4cos(d x + c)) +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 2 +-+ 2 +-+ 2 +-+ 3 +--R (16a d\|2 cos(d x + c) + 16a d\|2 )sin(d x + c) + 8a d\|2 cos(d x + c) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R 8a d\|2 cos(d x + c) - 16a d\|2 cos(d x + c) - 16a d\|2 +--R , +--R +--R +-+ +-+ +-+ 3 +--R (2\|2 cos(d x + c) + 2\|2 )sin(d x + c) + \|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R \|2 cos(d x + c) - 2\|2 cos(d x + c) - 2\|2 +--R * +--R +----+ +--R \|- 2a +--R * +--R atan +--R +-+ +-+ +-+ +----+ +--R (\|2 sin(d x + c) + \|2 cos(d x + c) + \|2 )\|- 2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 4a cos(d x + c) + 4a +--R + +--R 2 +--R (- 2cos(d x + c)sin(d x + c) + 2cos(d x + c) + 2cos(d x + c)) +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 2 +-+ 2 +-+ 2 +-+ 3 +--R (8a d\|2 cos(d x + c) + 8a d\|2 )sin(d x + c) + 4a d\|2 cos(d x + c) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R 4a d\|2 cos(d x + c) - 8a d\|2 cos(d x + c) - 8a d\|2 +--R ] +--R Type: Union(List Expression Integer,...) +--E 172 + +--S 173 of 520 +m0031a:= a0031.1-r0031 +--R +--R +--R (117) +--R +-+ +-+ 2 +--R (2\|2 cos(d x + c) + 2\|2 )sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R (\|2 cos(d x + c) + \|2 cos(d x + c) - 4\|2 cos(d x + c) - 4\|2 ) +--R * +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - \|2 cos(d x + c) - \|2 cos(d x + c) + 2\|2 cos(d x + c) + 2\|2 +--R * +--R +--+ +--------------------+ +--R \|2a \|- a sin(d x + c) + a +--R * +--R log +--R +-+ +-+ +-+ +--+ +--R (\|2 sin(d x + c) + \|2 cos(d x + c) + \|2 )\|2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- a cos(d x + c) - a)sin(d x + c) - 3a cos(d x + c) - 3a +--R / +--R (cos(d x + c) + 1)sin(d x + c) - cos(d x + c) - 1 +--R + +--R 2 +--R - 4cos(d x + c)sin(d x + c) +--R + +--R 2 2 +--R (4cos(d x + c) + 8cos(d x + c))sin(d x + c) - 4cos(d x + c) +--R + +--R - 4cos(d x + c) +--R * +--R +--------------------+ +------------------+ +--R \|- a sin(d x + c) + a \|a cos(d x + c) + a +--R + +--R +-+ 2d x + %pi + 2c +--R - 8a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 8a\|2 cos(---------------) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 16a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 16a\|2 cos(---------------) +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +--R 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +-+ 2d x + %pi + 2c +--R - 8a\|2 cos(---------------)cos(d x + c) - 8a\|2 cos(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R atanh(sin(---------------)) +--R 4 +--R + +--R +-+ 2 +-+ +--R (8a\|2 cos(d x + c) + 8a\|2 cos(d x + c))sin(d x + c) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 4a\|2 cos(d x + c) + 4a\|2 cos(d x + c) - 8a\|2 cos(d x + c) +--R + +--R +-+ +--R - 8a\|2 cos(d x + c) +--R / +--R 2 +-+ 2 +-+ 2 +--R (16a d\|2 cos(d x + c) + 16a d\|2 )sin(d x + c) +--R + +--R 2 +-+ 3 2 +-+ 2 +--R 8a d\|2 cos(d x + c) + 8a d\|2 cos(d x + c) +--R + +--R 2 +-+ 2 +-+ +--R - 32a d\|2 cos(d x + c) - 32a d\|2 +--R * +--R sin(d x + c) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 8a d\|2 cos(d x + c) - 8a d\|2 cos(d x + c) + 16a d\|2 cos(d x + c) +--R + +--R 2 +-+ +--R 16a d\|2 +--R * +--R +--------------------+ +--R \|- a sin(d x + c) + a +--R Type: Expression Integer +--E 173 + +--S 174 of 520 +d0031a:= D(m0031a,x) +--R +--R +--R (118) +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 2\|2 cos(d x + c)sin(---------------) + 2\|2 cos(d x + c)) +--R 4 +--R * +--R 6 +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 3\|2 cos(d x + c) + 12\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 6\|2 cos(d x + c) - 16\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +--R - 3\|2 cos(d x + c) - 12\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 6\|2 cos(d x + c) + 16\|2 +--R * +--R 5 +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 4\|2 cos(d x + c) - 16\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 28\|2 cos(d x + c) + 64\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R 4\|2 cos(d x + c) + 16\|2 cos(d x + c) - 28\|2 cos(d x + c) +--R + +--R +-+ +--R - 64\|2 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 5 +-+ 4 +--R \|2 cos(d x + c) + 2\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 10\|2 cos(d x + c) - 48\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 116\|2 cos(d x + c) - 96\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 5 +-+ 4 +--R - \|2 cos(d x + c) - 2\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 10\|2 cos(d x + c) + 48\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 116\|2 cos(d x + c) + 96\|2 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 5 +-+ 4 +--R - 4\|2 cos(d x + c) - 10\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 24\|2 cos(d x + c) + 120\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 150\|2 cos(d x + c) + 64\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 5 +-+ 4 +--R 4\|2 cos(d x + c) + 10\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 24\|2 cos(d x + c) - 120\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 150\|2 cos(d x + c) - 64\|2 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 7 +-+ 6 +--R - 2\|2 cos(d x + c) - 6\|2 cos(d x + c) +--R + +--R +-+ 5 +-+ 4 +--R \|2 cos(d x + c) + 14\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 17\|2 cos(d x + c) - 92\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 82\|2 cos(d x + c) - 16\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 2\|2 cos(d x + c) + 6\|2 cos(d x + c) - \|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R - 14\|2 cos(d x + c) + 17\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R 92\|2 cos(d x + c) + 82\|2 cos(d x + c) + 16\|2 +--R * +--R sin(d x + c) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 2\|2 cos(d x + c) + 6\|2 cos(d x + c) + 2\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R - 6\|2 cos(d x + c) + 4\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +--R 24\|2 cos(d x + c) + 16\|2 cos(d x + c) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 2\|2 cos(d x + c) - 6\|2 cos(d x + c) - 2\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 6\|2 cos(d x + c) - 4\|2 cos(d x + c) - 24\|2 cos(d x + c) +--R + +--R +-+ +--R - 16\|2 cos(d x + c) +--R * +--R +--------------------+ +--R \|- a sin(d x + c) + a +--R + +--R +-+ +-+ 2d x + %pi + 2c 3 +--R (8\|2 cos(d x + c) + 8\|2 )sin(---------------) +--R 4 +--R + +--R +-+ +-+ 2d x + %pi + 2c +--R (- 8\|2 cos(d x + c) - 8\|2 )sin(---------------) +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 8\|2 cos(d x + c) + 16\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 16\|2 cos(d x + c) - 24\|2 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 8\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 8\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +--R - 8\|2 cos(d x + c) - 16\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 16\|2 cos(d x + c) + 24\|2 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 8\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 8\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 5 +-+ 4 +--R 2\|2 cos(d x + c) + 10\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 8\|2 cos(d x + c) - 48\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 16\|2 cos(d x + c) + 16\|2 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 4 +--R 8\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 8\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 5 +-+ 4 +--R - 2\|2 cos(d x + c) - 10\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 8\|2 cos(d x + c) + 48\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 16\|2 cos(d x + c) - 16\|2 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 4 +--R - 8\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 8\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 6 +-+ 4 +--R 2\|2 cos(d x + c) - 26\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 24\|2 cos(d x + c) + 48\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 64\|2 cos(d x + c) + 16\|2 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 6 +--R 2\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 5 +--R 10\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 32\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 24\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 6 +-+ 4 +--R - 2\|2 cos(d x + c) + 26\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 24\|2 cos(d x + c) - 48\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 64\|2 cos(d x + c) - 16\|2 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 6 +--R - 2\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 5 +--R - 10\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R 32\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 24\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 6 +-+ 5 +--R - 4\|2 cos(d x + c) - 6\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R 22\|2 cos(d x + c) + 40\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R - 16\|2 cos(d x + c) - 56\|2 cos(d x + c) - 24\|2 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 7 +--R 2\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 6 +--R 2\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 5 +--R - 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 4 +--R - 24\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 40\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 6 +-+ 5 +--R 4\|2 cos(d x + c) + 6\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R - 22\|2 cos(d x + c) - 40\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R 16\|2 cos(d x + c) + 56\|2 cos(d x + c) + 24\|2 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 7 +--R - 2\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 6 +--R - 2\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 5 +--R 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 4 +--R 24\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 40\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 2\|2 cos(d x + c) + 4\|2 cos(d x + c) - 6\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ +-+ +--R - 16\|2 cos(d x + c) + 16\|2 cos(d x + c) + 8\|2 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 7 +--R - 2\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 6 +--R - 4\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 5 +--R 6\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 4 +--R 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 8\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 6 +-+ 5 +--R - 2\|2 cos(d x + c) - 4\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +-+ +--R 6\|2 cos(d x + c) + 16\|2 cos(d x + c) - 16\|2 cos(d x + c) +--R + +--R +-+ +--R - 8\|2 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 7 +--R 2\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 6 +--R 4\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 5 +--R - 6\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 4 +--R - 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 16\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 8\|2 cos(---------------)cos(d x + c) +--R 4 +--R * +--R +--+ 2d x + %pi + 2c +--R \|2a atanh(sin(---------------)) +--R 4 +--R + +--R +-+ +-+ 2d x + %pi + 2c 2 +--R (- 16\|2 cos(d x + c) - 16\|2 )sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (8\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 8\|2 cos(---------------) + 16\|2 +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 16\|2 cos(d x + c) - 32\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 16\|2 cos(d x + c) + 32\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (8\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (16\|2 cos(---------------) + 32\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 16\|2 cos(---------------) - 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 24\|2 cos(---------------) - 32\|2 +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 5 +-+ 4 +--R - 4\|2 cos(d x + c) - 20\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 24\|2 cos(d x + c) + 40\|2 cos(d x + c) +--R + +--R +-+ +--R 48\|2 cos(d x + c) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (2\|2 cos(---------------) + 4\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (10\|2 cos(---------------) + 20\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 8\|2 cos(---------------) + 24\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 48\|2 cos(---------------) - 40\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 16\|2 cos(---------------) - 48\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 16\|2 cos(---------------) +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 6 +-+ 5 +--R - 4\|2 cos(d x + c) - 28\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R - 16\|2 cos(d x + c) + 48\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R - 8\|2 cos(d x + c) - 80\|2 cos(d x + c) - 32\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (2\|2 cos(---------------) + 4\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 5 +--R 28\|2 cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (- 26\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 24\|2 cos(---------------) - 48\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (48\|2 cos(---------------) + 8\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (64\|2 cos(---------------) + 80\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R 16\|2 cos(---------------) + 32\|2 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 7 +-+ 6 +--R - 6\|2 cos(d x + c) - 26\|2 cos(d x + c) +--R + +--R +-+ 5 +-+ 4 +--R - 16\|2 cos(d x + c) + 36\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 40\|2 cos(d x + c) + 24\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 32\|2 cos(d x + c) + 16\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 7 +--R 6\|2 cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (- 4\|2 cos(---------------) + 26\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (- 6\|2 cos(---------------) + 16\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 4 +--R (22\|2 cos(---------------) - 36\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (40\|2 cos(---------------) - 40\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 2 +--R (- 16\|2 cos(---------------) - 24\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R (- 56\|2 cos(---------------) - 32\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ +--R - 24\|2 cos(---------------) - 16\|2 +--R 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 8 +-+ 7 +--R - 6\|2 cos(d x + c) - 12\|2 cos(d x + c) +--R + +--R +-+ 6 +-+ 5 +--R 18\|2 cos(d x + c) + 48\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 48\|2 cos(d x + c) - 24\|2 cos(d x + c) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 8 +-+ 7 +--R 6\|2 cos(d x + c) + 12\|2 cos(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 6 +--R (2\|2 cos(---------------) - 18\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 5 +--R (4\|2 cos(---------------) - 48\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 4 +--R - 6\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +-+ 3 +--R (- 16\|2 cos(---------------) + 48\|2 )cos(d x + c) +--R 4 +--R + +--R +-+ 2 +-+ 2d x + %pi + 2c 2 +--R 24\|2 cos(d x + c) + 16\|2 cos(---------------) cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 8\|2 cos(---------------) +--R 4 +--R * +--R +--+ +--R \|2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R 2d x + %pi + 2c 2 +--R ((4cos(d x + c) + 8)sin(---------------) - 4cos(d x + c) - 8) +--R 4 +--R * +--R 6 +--R sin(d x + c) +--R + +--R 3 2 +--R (- 6cos(d x + c) - 12cos(d x + c) - 20cos(d x + c) - 24) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 3 2 +--R 6cos(d x + c) + 12cos(d x + c) + 20cos(d x + c) + 24 +--R * +--R 5 +--R sin(d x + c) +--R + +--R 4 3 +--R (- 4cos(d x + c) - 4cos(d x + c) + 8cos(d x + c) + 16) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 4 3 +--R 4cos(d x + c) + 4cos(d x + c) - 8cos(d x + c) - 16 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 5 4 3 +--R - 2cos(d x + c) + 4cos(d x + c) + 56cos(d x + c) +--R + +--R 2 +--R 104cos(d x + c) + 72cos(d x + c) + 16 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 5 4 3 +--R 2cos(d x + c) - 4cos(d x + c) - 56cos(d x + c) +--R + +--R 2 +--R - 104cos(d x + c) - 72cos(d x + c) - 16 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 5 4 +--R - 4cos(d x + c) + 4cos(d x + c) + 16cos(d x + c) +--R + +--R 3 2 +--R - 84cos(d x + c) - 192cos(d x + c) - 124cos(d x + c) - 24 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 6 5 4 +--R 4cos(d x + c) - 4cos(d x + c) - 16cos(d x + c) +--R + +--R 3 2 +--R 84cos(d x + c) + 192cos(d x + c) + 124cos(d x + c) + 24 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 6 5 +--R 4cos(d x + c) + 16cos(d x + c) + 2cos(d x + c) +--R + +--R 4 3 2 +--R - 28cos(d x + c) + 46cos(d x + c) + 132cos(d x + c) +--R + +--R 76cos(d x + c) + 8 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 7 6 5 +--R - 4cos(d x + c) - 16cos(d x + c) - 2cos(d x + c) +--R + +--R 4 3 2 +--R 28cos(d x + c) - 46cos(d x + c) - 132cos(d x + c) +--R + +--R - 76cos(d x + c) - 8 +--R * +--R sin(d x + c) +--R + +--R 7 6 5 +--R - 4cos(d x + c) - 12cos(d x + c) - 4cos(d x + c) +--R + +--R 4 3 2 +--R 12cos(d x + c) - 8cos(d x + c) - 32cos(d x + c) - 16cos(d x + c) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 7 6 5 4 +--R 4cos(d x + c) + 12cos(d x + c) + 4cos(d x + c) - 12cos(d x + c) +--R + +--R 3 2 +--R 8cos(d x + c) + 32cos(d x + c) + 16cos(d x + c) +--R * +--R +--+ +--------------------+ +--R \|2a \|- a sin(d x + c) + a +--R + +--R 2 2d x + %pi + 2c 3 +--R (- 8a cos(d x + c) - 16a cos(d x + c) - 8a)sin(---------------) +--R 4 +--R + +--R 2 2d x + %pi + 2c +--R (8a cos(d x + c) + 16a cos(d x + c) + 8a)sin(---------------) +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R 4 3 +--R - 8a cos(d x + c) - 16a cos(d x + c) + 16a cos(d x + c) +--R + +--R 8a +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 8a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 16a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 8a cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 4 3 +--R (8a cos(d x + c) + 16a cos(d x + c) - 16a cos(d x + c) - 8a) +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 8a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 16a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 8a cos(---------------)cos(d x + c) +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 6 5 4 +--R - 2a cos(d x + c) - 4a cos(d x + c) - 2a cos(d x + c) +--R + +--R 2 +--R 48a cos(d x + c) + 96a cos(d x + c) + 48a +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R - 8a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R - 16a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 8a cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 6 5 4 +--R 2a cos(d x + c) + 4a cos(d x + c) + 2a cos(d x + c) +--R + +--R 2 +--R - 48a cos(d x + c) - 96a cos(d x + c) - 48a +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R 8a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R 16a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 8a cos(---------------)cos(d x + c) +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 5 4 +--R - 2a cos(d x + c) - 4a cos(d x + c) + 46a cos(d x + c) +--R + +--R 3 2 +--R 96a cos(d x + c) - 64a cos(d x + c) - 224a cos(d x + c) +--R + +--R - 112a +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R - 2a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R - 4a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R - 10a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R - 16a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 40a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 96a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 48a cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 6 5 4 +--R 2a cos(d x + c) + 4a cos(d x + c) - 46a cos(d x + c) +--R + +--R 3 2 +--R - 96a cos(d x + c) + 64a cos(d x + c) + 224a cos(d x + c) +--R + +--R 112a +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R 2a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R 4a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R 10a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R 16a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 40a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 96a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 48a cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 6 5 4 +--R 10a cos(d x + c) + 20a cos(d x + c) - 54a cos(d x + c) +--R + +--R 3 2 +--R - 128a cos(d x + c) + 24a cos(d x + c) + 176a cos(d x + c) +--R + +--R 88a +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R - 4a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R - 8a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R 36a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R 80a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 24a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 128a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 64a cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 6 5 4 +--R - 10a cos(d x + c) - 20a cos(d x + c) + 54a cos(d x + c) +--R + +--R 3 2 +--R 128a cos(d x + c) - 24a cos(d x + c) - 176a cos(d x + c) +--R + +--R - 88a +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R 4a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R 8a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R - 36a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R - 80a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 24a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 128a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 64a cos(---------------)cos(d x + c) +--R 4 +--R * +--R sin(d x + c) +--R + +--R 6 5 4 +--R - 6a cos(d x + c) - 12a cos(d x + c) + 18a cos(d x + c) +--R + +--R 3 +--R 48a cos(d x + c) - 48a cos(d x + c) - 24a +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R 6a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R 12a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R - 18a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R - 48a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 48a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 24a cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 6 5 4 +--R 6a cos(d x + c) + 12a cos(d x + c) - 18a cos(d x + c) +--R + +--R 3 +--R - 48a cos(d x + c) + 48a cos(d x + c) + 24a +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R - 6a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R - 12a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R 18a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R 48a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 48a cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 24a cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R atanh(sin(---------------)) +--R 4 +--R + +--R 2 2d x + %pi + 2c 2 +--R (16a cos(d x + c) + 32a cos(d x + c) + 16a)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 8a cos(---------------) - 16a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 16a cos(---------------) - 32a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 8a cos(---------------) - 16a +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R 4 3 2 +--R (16a cos(d x + c) + 32a cos(d x + c) + 16a cos(d x + c) ) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 8a cos(---------------) - 16a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 2 +--R (- 16a cos(---------------) - 32a)cos(d x + c) - 16a cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2d x + %pi + 2c 2 +--R 16a cos(---------------) cos(d x + c) + 8a cos(---------------) +--R 4 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 6 5 4 +--R 4a cos(d x + c) + 8a cos(d x + c) + 44a cos(d x + c) +--R + +--R 3 2 +--R 80a cos(d x + c) - 56a cos(d x + c) - 192a cos(d x + c) - 96a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 2a cos(---------------) - 4a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 4a cos(---------------) - 8a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 3 +--R (- 2a cos(---------------) - 44a)cos(d x + c) - 80a cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (48a cos(---------------) + 56a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (96a cos(---------------) + 192a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 48a cos(---------------) + 96a +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 5 4 +--R 32a cos(d x + c) + 64a cos(d x + c) - 24a cos(d x + c) +--R + +--R 3 2 +--R - 112a cos(d x + c) + 72a cos(d x + c) + 256a cos(d x + c) + 128a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 2a cos(---------------) - 32a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 4a cos(---------------) - 64a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (46a cos(---------------) + 24a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (96a cos(---------------) + 112a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 64a cos(---------------) - 72a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 224a cos(---------------) - 256a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 112a cos(---------------) - 128a +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 8 7 6 +--R 6a cos(d x + c) + 12a cos(d x + c) + 42a cos(d x + c) +--R + +--R 5 4 3 +--R 72a cos(d x + c) - 36a cos(d x + c) - 144a cos(d x + c) +--R + +--R 2 +--R - 120a cos(d x + c) - 96a cos(d x + c) - 48a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 8 7 +--R - 6a cos(d x + c) - 12a cos(d x + c) +--R + +--R 2d x + %pi + 2c 2 6 +--R (10a cos(---------------) - 42a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (20a cos(---------------) - 72a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 54a cos(---------------) + 36a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 128a cos(---------------) + 144a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (24a cos(---------------) + 120a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (176a cos(---------------) + 96a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 88a cos(---------------) + 48a +--R 4 +--R * +--R sin(d x + c) +--R + +--R 8 7 6 +--R 18a cos(d x + c) + 36a cos(d x + c) - 54a cos(d x + c) +--R + +--R 5 3 2 +--R - 144a cos(d x + c) + 144a cos(d x + c) + 72a cos(d x + c) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 8 7 +--R - 18a cos(d x + c) - 36a cos(d x + c) +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 6a cos(---------------) + 54a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 12a cos(---------------) + 144a)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R 18a cos(---------------) cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 2 +--R (48a cos(---------------) - 144a)cos(d x + c) - 72a cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2d x + %pi + 2c 2 +--R - 48a cos(---------------) cos(d x + c) - 24a cos(---------------) +--R 4 4 +--R / +--R +-+ +-+ 2d x + %pi + 2c 2 +--R (32a\|2 cos(d x + c) + 32a\|2 )sin(---------------) +--R 4 +--R + +--R +-+ +-+ +--R - 32a\|2 cos(d x + c) - 32a\|2 +--R * +--R 5 +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 32a\|2 cos(d x + c) + 64a\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 64a\|2 cos(d x + c) - 96a\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +--R - 32a\|2 cos(d x + c) - 64a\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 64a\|2 cos(d x + c) + 96a\|2 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 5 +-+ 4 +--R 8a\|2 cos(d x + c) + 40a\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 32a\|2 cos(d x + c) - 192a\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 64a\|2 cos(d x + c) + 64a\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 5 +-+ 4 +--R - 8a\|2 cos(d x + c) - 40a\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 32a\|2 cos(d x + c) + 192a\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 64a\|2 cos(d x + c) - 64a\|2 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 6 +-+ 4 +--R 8a\|2 cos(d x + c) - 104a\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 96a\|2 cos(d x + c) + 192a\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 256a\|2 cos(d x + c) + 64a\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 6 +-+ 4 +--R - 8a\|2 cos(d x + c) + 104a\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 96a\|2 cos(d x + c) - 192a\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 256a\|2 cos(d x + c) - 64a\|2 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 6 +-+ 5 +--R - 16a\|2 cos(d x + c) - 24a\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R 88a\|2 cos(d x + c) + 160a\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R - 64a\|2 cos(d x + c) - 224a\|2 cos(d x + c) - 96a\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 6 +-+ 5 +--R 16a\|2 cos(d x + c) + 24a\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R - 88a\|2 cos(d x + c) - 160a\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R 64a\|2 cos(d x + c) + 224a\|2 cos(d x + c) + 96a\|2 +--R * +--R sin(d x + c) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 8a\|2 cos(d x + c) + 16a\|2 cos(d x + c) - 24a\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ +-+ +--R - 64a\|2 cos(d x + c) + 64a\|2 cos(d x + c) + 32a\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 8a\|2 cos(d x + c) - 16a\|2 cos(d x + c) + 24a\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ +-+ +--R 64a\|2 cos(d x + c) - 64a\|2 cos(d x + c) - 32a\|2 +--R * +--R +--+ +--------------------+ +------------------+ +--R \|2a \|- a sin(d x + c) + a \|a cos(d x + c) + a +--R + +--R 2 2 2 2 +--R (- 32a cos(d x + c) - 64a cos(d x + c) - 32a ) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2 2 2 2 +--R 32a cos(d x + c) + 64a cos(d x + c) + 32a +--R * +--R 5 +--R sin(d x + c) +--R + +--R 2 4 2 3 2 +--R - 32a cos(d x + c) - 64a cos(d x + c) + 64a cos(d x + c) +--R + +--R 2 +--R 32a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2 4 2 3 2 2 +--R 32a cos(d x + c) + 64a cos(d x + c) - 64a cos(d x + c) - 32a +--R * +--R 4 +--R sin(d x + c) +--R + +--R 2 6 2 5 2 4 +--R - 8a cos(d x + c) - 16a cos(d x + c) - 8a cos(d x + c) +--R + +--R 2 2 2 2 +--R 192a cos(d x + c) + 384a cos(d x + c) + 192a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2 6 2 5 2 4 +--R 8a cos(d x + c) + 16a cos(d x + c) + 8a cos(d x + c) +--R + +--R 2 2 2 2 +--R - 192a cos(d x + c) - 384a cos(d x + c) - 192a +--R * +--R 3 +--R sin(d x + c) +--R + +--R 2 6 2 5 2 4 +--R - 8a cos(d x + c) - 16a cos(d x + c) + 184a cos(d x + c) +--R + +--R 2 3 2 2 2 +--R 384a cos(d x + c) - 256a cos(d x + c) - 896a cos(d x + c) +--R + +--R 2 +--R - 448a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2 6 2 5 2 4 +--R 8a cos(d x + c) + 16a cos(d x + c) - 184a cos(d x + c) +--R + +--R 2 3 2 2 2 +--R - 384a cos(d x + c) + 256a cos(d x + c) + 896a cos(d x + c) +--R + +--R 2 +--R 448a +--R * +--R 2 +--R sin(d x + c) +--R + +--R 2 6 2 5 2 4 +--R 40a cos(d x + c) + 80a cos(d x + c) - 216a cos(d x + c) +--R + +--R 2 3 2 2 2 +--R - 512a cos(d x + c) + 96a cos(d x + c) + 704a cos(d x + c) +--R + +--R 2 +--R 352a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2 6 2 5 2 4 +--R - 40a cos(d x + c) - 80a cos(d x + c) + 216a cos(d x + c) +--R + +--R 2 3 2 2 2 2 +--R 512a cos(d x + c) - 96a cos(d x + c) - 704a cos(d x + c) - 352a +--R * +--R sin(d x + c) +--R + +--R 2 6 2 5 2 4 +--R - 24a cos(d x + c) - 48a cos(d x + c) + 72a cos(d x + c) +--R + +--R 2 3 2 2 +--R 192a cos(d x + c) - 192a cos(d x + c) - 96a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2 6 2 5 2 4 +--R 24a cos(d x + c) + 48a cos(d x + c) - 72a cos(d x + c) +--R + +--R 2 3 2 2 +--R - 192a cos(d x + c) + 192a cos(d x + c) + 96a +--R * +--R +--------------------+ +--R \|- a sin(d x + c) + a +--R Type: Expression Integer +--E 174 + +--S 175 of 520 +m0031b:= a0031.2-r0031 +--R +--R +--R (119) +--R +-+ +-+ 2 +--R (2\|2 cos(d x + c) + 2\|2 )sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R (\|2 cos(d x + c) + \|2 cos(d x + c) - 4\|2 cos(d x + c) - 4\|2 ) +--R * +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - \|2 cos(d x + c) - \|2 cos(d x + c) + 2\|2 cos(d x + c) + 2\|2 +--R * +--R +----+ +--------------------+ +--R \|- 2a \|- a sin(d x + c) + a +--R * +--R atan +--R +-+ +-+ +-+ +----+ +--R (\|2 sin(d x + c) + \|2 cos(d x + c) + \|2 )\|- 2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 4a cos(d x + c) + 4a +--R + +--R 2 +--R - 2cos(d x + c)sin(d x + c) +--R + +--R 2 2 +--R (2cos(d x + c) + 4cos(d x + c))sin(d x + c) - 2cos(d x + c) +--R + +--R - 2cos(d x + c) +--R * +--R +--------------------+ +------------------+ +--R \|- a sin(d x + c) + a \|a cos(d x + c) + a +--R + +--R +-+ 2d x + %pi + 2c +--R - 4a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 4a\|2 cos(---------------) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +--R - 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +-+ 2d x + %pi + 2c +--R 8a\|2 cos(---------------)cos(d x + c) + 8a\|2 cos(---------------) +--R 4 4 +--R * +--R sin(d x + c) +--R + +--R +-+ 2d x + %pi + 2c 3 +--R 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R 2a\|2 cos(---------------)cos(d x + c) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +-+ 2d x + %pi + 2c +--R - 4a\|2 cos(---------------)cos(d x + c) - 4a\|2 cos(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R atanh(sin(---------------)) +--R 4 +--R + +--R +-+ 2 +-+ +--R (4a\|2 cos(d x + c) + 4a\|2 cos(d x + c))sin(d x + c) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 2a\|2 cos(d x + c) + 2a\|2 cos(d x + c) - 4a\|2 cos(d x + c) +--R + +--R +-+ +--R - 4a\|2 cos(d x + c) +--R / +--R 2 +-+ 2 +-+ 2 +--R (8a d\|2 cos(d x + c) + 8a d\|2 )sin(d x + c) +--R + +--R 2 +-+ 3 2 +-+ 2 +--R 4a d\|2 cos(d x + c) + 4a d\|2 cos(d x + c) +--R + +--R 2 +-+ 2 +-+ +--R - 16a d\|2 cos(d x + c) - 16a d\|2 +--R * +--R sin(d x + c) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 4a d\|2 cos(d x + c) - 4a d\|2 cos(d x + c) + 8a d\|2 cos(d x + c) +--R + +--R 2 +-+ +--R 8a d\|2 +--R * +--R +--------------------+ +--R \|- a sin(d x + c) + a +--R Type: Expression Integer +--E 175 + +--S 176 of 520 +d0031b:= D(m0031b,x) +--R +--R +--R (120) +--R 2d x + %pi + 2c 3 +--R (8cos(d x + c) + 8)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c +--R (- 8cos(d x + c) - 8)sin(---------------) +--R 4 +--R * +--R 6 +--R sin(d x + c) +--R + +--R 3 2 2d x + %pi + 2c 3 +--R (8cos(d x + c) + 24cos(d x + c) - 16)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 8cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 8cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 3 2 2d x + %pi + 2c +--R (- 8cos(d x + c) - 24cos(d x + c) + 16)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 8cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 8cos(---------------)cos(d x + c) +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R 5 4 3 +--R 2cos(d x + c) + 18cos(d x + c) + 16cos(d x + c) +--R + +--R 2 +--R - 80cos(d x + c) - 120cos(d x + c) - 40 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R 8cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 24cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 8cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 8cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 5 4 3 +--R - 2cos(d x + c) - 18cos(d x + c) - 16cos(d x + c) +--R + +--R 2 +--R 80cos(d x + c) + 120cos(d x + c) + 40 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R - 8cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 24cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 8cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 8cos(---------------)cos(d x + c) +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 6 5 4 +--R 4cos(d x + c) + 12cos(d x + c) - 56cos(d x + c) +--R + +--R 3 2 +--R - 144cos(d x + c) + 80cos(d x + c) + 320cos(d x + c) +--R + +--R 160 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R 18cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R 24cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 56cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 112cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 48cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 6 5 4 +--R - 4cos(d x + c) - 12cos(d x + c) + 56cos(d x + c) +--R + +--R 3 2 +--R 144cos(d x + c) - 80cos(d x + c) - 320cos(d x + c) - 160 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R - 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R - 18cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R - 24cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 56cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 112cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 48cos(---------------)cos(d x + c) +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 7 6 5 +--R 2cos(d x + c) - 10cos(d x + c) - 48cos(d x + c) +--R + +--R 4 3 +--R 60cos(d x + c) + 256cos(d x + c) - 360cos(d x + c) - 200 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R 4cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R 14cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R - 38cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R - 120cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 24cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 208cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 112cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 7 6 5 +--R - 2cos(d x + c) + 10cos(d x + c) + 48cos(d x + c) +--R + +--R 4 3 +--R - 60cos(d x + c) - 256cos(d x + c) + 360cos(d x + c) +--R + +--R 200 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R - 4cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R - 14cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R 38cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R 120cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 24cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 208cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 112cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 6 5 +--R - 4cos(d x + c) + 8cos(d x + c) + 52cos(d x + c) +--R + +--R 4 3 2 +--R - 24cos(d x + c) - 184cos(d x + c) - 40cos(d x + c) +--R + +--R 192cos(d x + c) + 112 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 8 +--R 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R - 6cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R - 34cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R 22cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R 136cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 24cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 152cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 88cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 7 6 5 +--R 4cos(d x + c) - 8cos(d x + c) - 52cos(d x + c) +--R + +--R 4 3 2 +--R 24cos(d x + c) + 184cos(d x + c) + 40cos(d x + c) +--R + +--R - 192cos(d x + c) - 112 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 8 +--R - 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R 6cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R 34cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R - 22cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R - 136cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 24cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 152cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 88cos(---------------)cos(d x + c) +--R 4 +--R * +--R sin(d x + c) +--R + +--R 7 6 5 +--R 2cos(d x + c) - 2cos(d x + c) - 18cos(d x + c) +--R + +--R 4 3 2 +--R 2cos(d x + c) + 48cos(d x + c) + 16cos(d x + c) +--R + +--R - 40cos(d x + c) - 24 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 8 +--R - 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R 18cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R - 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R - 48cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R - 16cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 40cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R 24cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 7 6 5 +--R - 2cos(d x + c) + 2cos(d x + c) + 18cos(d x + c) +--R + +--R 4 3 2 +--R - 2cos(d x + c) - 48cos(d x + c) - 16cos(d x + c) +--R + +--R 40cos(d x + c) + 24 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 8 +--R 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 7 +--R - 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 6 +--R - 18cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 5 +--R 2cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 4 +--R 48cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 3 +--R 16cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 40cos(---------------)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c +--R - 24cos(---------------)cos(d x + c) +--R 4 +--R * +--R 2d x + %pi + 2c +--R atanh(sin(---------------)) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 16cos(d x + c) - 16)sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (8cos(---------------) + 16)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 8cos(---------------) + 16 +--R 4 +--R * +--R 6 +--R sin(d x + c) +--R + +--R 3 2 +--R (- 16cos(d x + c) - 48cos(d x + c) - 16cos(d x + c) + 16) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (8cos(---------------) + 16)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (24cos(---------------) + 48)cos(d x + c) + 16cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 16cos(---------------) - 16 +--R 4 +--R * +--R 5 +--R sin(d x + c) +--R + +--R 5 4 3 +--R - 4cos(d x + c) - 36cos(d x + c) - 72cos(d x + c) +--R + +--R 2 +--R 88cos(d x + c) + 224cos(d x + c) + 96 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (2cos(---------------) + 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (18cos(---------------) + 36)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (16cos(---------------) + 72)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 80cos(---------------) - 88)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 120cos(---------------) - 224)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 40cos(---------------) - 96 +--R 4 +--R * +--R 4 +--R sin(d x + c) +--R + +--R 6 5 4 +--R - 8cos(d x + c) - 52cos(d x + c) + 4cos(d x + c) +--R + +--R 3 2 +--R 192cos(d x + c) - 48cos(d x + c) - 416cos(d x + c) - 224 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (4cos(---------------) + 8)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (12cos(---------------) + 52)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 56cos(---------------) - 4)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 144cos(---------------) - 192)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (80cos(---------------) + 48)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (320cos(---------------) + 416)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 160cos(---------------) + 224 +--R 4 +--R * +--R 3 +--R sin(d x + c) +--R + +--R 7 6 5 +--R - 10cos(d x + c) - 42cos(d x + c) - 28cos(d x + c) +--R + +--R 4 3 2 +--R 52cos(d x + c) + 16cos(d x + c) + 96cos(d x + c) +--R + +--R 304cos(d x + c) + 176 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2d x + %pi + 2c 2 7 +--R (2cos(---------------) + 10)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 10cos(---------------) + 42)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 48cos(---------------) + 28)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (60cos(---------------) - 52)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 2 +--R (256cos(---------------) - 16)cos(d x + c) - 96cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (- 360cos(---------------) - 304)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R - 200cos(---------------) - 176 +--R 4 +--R * +--R 2 +--R sin(d x + c) +--R + +--R 8 7 6 +--R - 12cos(d x + c) - 44cos(d x + c) + 56cos(d x + c) +--R + +--R 5 4 3 +--R 228cos(d x + c) + 28cos(d x + c) - 240cos(d x + c) +--R + +--R 2 +--R - 160cos(d x + c) - 80cos(d x + c) - 48 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 8 2d x + %pi + 2c 2 7 +--R 12cos(d x + c) + (- 4cos(---------------) + 44)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (8cos(---------------) - 56)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (52cos(---------------) - 228)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (- 24cos(---------------) - 28)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (- 184cos(---------------) + 240)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (- 40cos(---------------) + 160)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R (192cos(---------------) + 80)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 +--R 112cos(---------------) + 48 +--R 4 +--R * +--R sin(d x + c) +--R + +--R 9 8 7 +--R - 6cos(d x + c) + 6cos(d x + c) + 54cos(d x + c) +--R + +--R 6 5 4 +--R - 6cos(d x + c) - 144cos(d x + c) - 48cos(d x + c) +--R + +--R 3 2 +--R 120cos(d x + c) + 72cos(d x + c) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 9 8 +--R 6cos(d x + c) - 6cos(d x + c) +--R + +--R 2d x + %pi + 2c 2 7 +--R (2cos(---------------) - 54)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 6 +--R (- 2cos(---------------) + 6)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 5 +--R (- 18cos(---------------) + 144)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 4 +--R (2cos(---------------) + 48)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 3 +--R (48cos(---------------) - 120)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2 +--R (16cos(---------------) - 72)cos(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2 2d x + %pi + 2c 2 +--R - 40cos(---------------) cos(d x + c) - 24cos(---------------) +--R 4 4 +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R +-+ +-+ 2d x + %pi + 2c 2 +--R (2\|2 cos(d x + c) + 4\|2 )sin(---------------) +--R 4 +--R + +--R +-+ +-+ +--R - 2\|2 cos(d x + c) - 4\|2 +--R * +--R 7 +--R sin(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +--R (- 3\|2 cos(d x + c) - 4\|2 cos(d x + c) + 4\|2 cos(d x + c)) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 3 +-+ 2 +-+ +--R 3\|2 cos(d x + c) + 4\|2 cos(d x + c) - 4\|2 cos(d x + c) +--R * +--R 6 +--R sin(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R - 5\|2 cos(d x + c) - 3\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R - 24\|2 cos(d x + c) - 90\|2 cos(d x + c) - 60\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 5\|2 cos(d x + c) + 3\|2 cos(d x + c) + 24\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 90\|2 cos(d x + c) + 60\|2 +--R * +--R 5 +--R sin(d x + c) +--R + +--R +-+ 5 +-+ 4 +--R - \|2 cos(d x + c) + 4\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R 38\|2 cos(d x + c) + 168\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R 296\|2 cos(d x + c) + 160\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R \|2 cos(d x + c) - 4\|2 cos(d x + c) - 38\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R - 168\|2 cos(d x + c) - 296\|2 cos(d x + c) - 160\|2 +--R * +--R 4 +--R sin(d x + c) +--R + +--R +-+ 6 +-+ 5 +--R - 5\|2 cos(d x + c) - \|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R 24\|2 cos(d x + c) - 78\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R - 352\|2 cos(d x + c) - 434\|2 cos(d x + c) - 180\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 5\|2 cos(d x + c) + \|2 cos(d x + c) - 24\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +-+ +--R 78\|2 cos(d x + c) + 352\|2 cos(d x + c) + 434\|2 cos(d x + c) +--R + +--R +-+ +--R 180\|2 +--R * +--R 3 +--R sin(d x + c) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 2\|2 cos(d x + c) + 16\|2 cos(d x + c) + 7\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R - 46\|2 cos(d x + c) + 81\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R 348\|2 cos(d x + c) + 324\|2 cos(d x + c) + 96\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 2\|2 cos(d x + c) - 16\|2 cos(d x + c) - 7\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 46\|2 cos(d x + c) - 81\|2 cos(d x + c) - 348\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 324\|2 cos(d x + c) - 96\|2 +--R * +--R 2 +--R sin(d x + c) +--R + +--R +-+ 7 +-+ 6 +--R - 4\|2 cos(d x + c) - 17\|2 cos(d x + c) +--R + +--R +-+ 5 +-+ 4 +--R - 7\|2 cos(d x + c) + 29\|2 cos(d x + c) +--R + +--R +-+ 3 +-+ 2 +--R - 47\|2 cos(d x + c) - 168\|2 cos(d x + c) +--R + +--R +-+ +-+ +--R - 118\|2 cos(d x + c) - 20\|2 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 4\|2 cos(d x + c) + 17\|2 cos(d x + c) + 7\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +--R - 29\|2 cos(d x + c) + 47\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R 168\|2 cos(d x + c) + 118\|2 cos(d x + c) + 20\|2 +--R * +--R sin(d x + c) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 2\|2 cos(d x + c) + 6\|2 cos(d x + c) + 2\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 6\|2 cos(d x + c) + 12\|2 cos(d x + c) + 32\|2 cos(d x + c) +--R + +--R +-+ +--R 16\|2 cos(d x + c) +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 2\|2 cos(d x + c) - 6\|2 cos(d x + c) - 2\|2 cos(d x + c) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 6\|2 cos(d x + c) - 12\|2 cos(d x + c) - 32\|2 cos(d x + c) +--R + +--R +-+ +--R - 16\|2 cos(d x + c) +--R * +--R +--------------------+ +--R \|- a sin(d x + c) + a +--R / +--R 2d x + %pi + 2c 2 +--R (32a cos(d x + c) + 32a)sin(---------------) - 32a cos(d x + c) +--R 4 +--R + +--R - 32a +--R * +--R 6 +--R sin(d x + c) +--R + +--R 3 2 2d x + %pi + 2c 2 +--R (32a cos(d x + c) + 96a cos(d x + c) - 64a)sin(---------------) +--R 4 +--R + +--R 3 2 +--R - 32a cos(d x + c) - 96a cos(d x + c) + 64a +--R * +--R 5 +--R sin(d x + c) +--R + +--R 5 4 3 +--R 8a cos(d x + c) + 72a cos(d x + c) + 64a cos(d x + c) +--R + +--R 2 +--R - 320a cos(d x + c) - 480a cos(d x + c) - 160a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 5 4 3 +--R - 8a cos(d x + c) - 72a cos(d x + c) - 64a cos(d x + c) +--R + +--R 2 +--R 320a cos(d x + c) + 480a cos(d x + c) + 160a +--R * +--R 4 +--R sin(d x + c) +--R + +--R 6 5 4 +--R 16a cos(d x + c) + 48a cos(d x + c) - 224a cos(d x + c) +--R + +--R 3 2 +--R - 576a cos(d x + c) + 320a cos(d x + c) + 1280a cos(d x + c) +--R + +--R 640a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 6 5 4 +--R - 16a cos(d x + c) - 48a cos(d x + c) + 224a cos(d x + c) +--R + +--R 3 2 +--R 576a cos(d x + c) - 320a cos(d x + c) - 1280a cos(d x + c) - 640a +--R * +--R 3 +--R sin(d x + c) +--R + +--R 7 6 5 +--R 8a cos(d x + c) - 40a cos(d x + c) - 192a cos(d x + c) +--R + +--R 4 3 +--R 240a cos(d x + c) + 1024a cos(d x + c) - 1440a cos(d x + c) +--R + +--R - 800a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 7 6 5 +--R - 8a cos(d x + c) + 40a cos(d x + c) + 192a cos(d x + c) +--R + +--R 4 3 +--R - 240a cos(d x + c) - 1024a cos(d x + c) + 1440a cos(d x + c) +--R + +--R 800a +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 6 5 +--R - 16a cos(d x + c) + 32a cos(d x + c) + 208a cos(d x + c) +--R + +--R 4 3 2 +--R - 96a cos(d x + c) - 736a cos(d x + c) - 160a cos(d x + c) +--R + +--R 768a cos(d x + c) + 448a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 7 6 5 +--R 16a cos(d x + c) - 32a cos(d x + c) - 208a cos(d x + c) +--R + +--R 4 3 2 +--R 96a cos(d x + c) + 736a cos(d x + c) + 160a cos(d x + c) +--R + +--R - 768a cos(d x + c) - 448a +--R * +--R sin(d x + c) +--R + +--R 7 6 5 +--R 8a cos(d x + c) - 8a cos(d x + c) - 72a cos(d x + c) +--R + +--R 4 3 2 +--R 8a cos(d x + c) + 192a cos(d x + c) + 64a cos(d x + c) +--R + +--R - 160a cos(d x + c) - 96a +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 7 6 5 +--R - 8a cos(d x + c) + 8a cos(d x + c) + 72a cos(d x + c) +--R + +--R 4 3 2 +--R - 8a cos(d x + c) - 192a cos(d x + c) - 64a cos(d x + c) +--R + +--R 160a cos(d x + c) + 96a +--R * +--R +--------------------+ +------------------+ +--R \|- a sin(d x + c) + a \|a cos(d x + c) + a +--R Type: Expression Integer +--E 176 + +--S 177 of 520 +t0032:= 1/(a-a*sin(c+d*x))^(5/2) +--R +--R +--R 1 +--R (121) --------------------------------------------------------------- +--R 2 2 2 2 +--------------------+ +--R (a sin(d x + c) - 2a sin(d x + c) + a )\|- a sin(d x + c) + a +--R Type: Expression Integer +--E 177 + +--S 178 of 520 +r0032:= 1/4*cos(c+d*x)/d/(a-a*sin(c+d*x))^(5/2)+3/16*cos(c+d*x)/a/d/(a-a*sin(c+d*x))^(3/2)+3/16*atanh(sin(1/2*c+1/4*%pi+1/2*d*x))*cos(1/2*c+1/4*%pi+1/2*d*x)/a^2/d/(a-a*sin(c+d*x))^(1/2) +--R +--R +--R (122) +--R 2d x + %pi + 2c 2 +--R 3cos(---------------)sin(d x + c) +--R 4 +--R + +--R 2d x + %pi + 2c 2d x + %pi + 2c +--R - 6cos(---------------)sin(d x + c) + 3cos(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R atanh(sin(---------------)) +--R 4 +--R + +--R - 3cos(d x + c)sin(d x + c) + 7cos(d x + c) +--R / +--R 2 2 2 2 +--------------------+ +--R (16a d sin(d x + c) - 32a d sin(d x + c) + 16a d)\|- a sin(d x + c) + a +--R Type: Expression Integer +--E 178 + +--S 179 of 520 +a0032:= integrate(t0032,x) +--R +--R +--R (123) +--R [ +--R +-+ 3 +-+ 2 +-+ +--R 12\|2 cos(d x + c) + 12\|2 cos(d x + c) - 24\|2 cos(d x + c) +--R + +--R +-+ +--R - 24\|2 +--R * +--R sin(d x + c) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 3\|2 cos(d x + c) + 3\|2 cos(d x + c) - 24\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R - 24\|2 cos(d x + c) + 24\|2 cos(d x + c) + 24\|2 +--R * +--R +--+ +--R \|2a +--R * +--R log +--R +-+ +-+ +-+ +--+ +--R (\|2 sin(d x + c) + \|2 cos(d x + c) + \|2 )\|2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R + +--R (- a cos(d x + c) - a)sin(d x + c) - 3a cos(d x + c) - 3a +--R / +--R (cos(d x + c) + 1)sin(d x + c) - cos(d x + c) - 1 +--R + +--R 3 2 +--R (- 12cos(d x + c) + 40cos(d x + c) + 80cos(d x + c))sin(d x + c) +--R + +--R 4 3 2 +--R 12cos(d x + c) + 52cos(d x + c) - 40cos(d x + c) - 80cos(d x + c) +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 3 +-+ 3 3 +-+ 2 +--R 256a d\|2 cos(d x + c) + 256a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 +-+ +--R - 512a d\|2 cos(d x + c) - 512a d\|2 +--R * +--R sin(d x + c) +--R + +--R 3 +-+ 5 3 +-+ 4 +--R 64a d\|2 cos(d x + c) + 64a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 3 +-+ 2 +--R - 512a d\|2 cos(d x + c) - 512a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 +-+ +--R 512a d\|2 cos(d x + c) + 512a d\|2 +--R , +--R +--R +-+ 3 +-+ 2 +-+ +--R 12\|2 cos(d x + c) + 12\|2 cos(d x + c) - 24\|2 cos(d x + c) +--R + +--R +-+ +--R - 24\|2 +--R * +--R sin(d x + c) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 3\|2 cos(d x + c) + 3\|2 cos(d x + c) - 24\|2 cos(d x + c) +--R + +--R +-+ 2 +-+ +-+ +--R - 24\|2 cos(d x + c) + 24\|2 cos(d x + c) + 24\|2 +--R * +--R +----+ +--R \|- 2a +--R * +--R atan +--R +-+ +-+ +-+ +----+ +--R (\|2 sin(d x + c) + \|2 cos(d x + c) + \|2 )\|- 2a +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 4a cos(d x + c) + 4a +--R + +--R 3 2 +--R (- 6cos(d x + c) + 20cos(d x + c) + 40cos(d x + c))sin(d x + c) +--R + +--R 4 3 2 +--R 6cos(d x + c) + 26cos(d x + c) - 20cos(d x + c) - 40cos(d x + c) +--R * +--R +------------------+ +--R \|a cos(d x + c) + a +--R / +--R 3 +-+ 3 3 +-+ 2 +--R 128a d\|2 cos(d x + c) + 128a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 +-+ +--R - 256a d\|2 cos(d x + c) - 256a d\|2 +--R * +--R sin(d x + c) +--R + +--R 3 +-+ 5 3 +-+ 4 +--R 32a d\|2 cos(d x + c) + 32a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 3 +-+ 2 +--R - 256a d\|2 cos(d x + c) - 256a d\|2 cos(d x + c) +--R + +--R 3 +-+ 3 +-+ +--R 256a d\|2 cos(d x + c) + 256a d\|2 +--R ] +--R Type: Union(List Expression Integer,...) +--E 179 + +--S 180 of 520 +--m0032a:= a0032.1-r0032 +--E 180 + +--S 181 of 520 +--d0032a:= D(m0032a,x) +--E 181 + +--S 182 of 520 +--m0032b:= a0032.2-r0032 +--E 182 + +--S 183 of 520 +--d0032b:= D(m0032b,x) +--E 183 + +--S 184 of 520 +t0033:= (b*sin(c+d*x))^(1/2) +--R +--R +--R +--------------+ +--R (124) \|b sin(d x + c) +--R Type: Expression Integer +--E 184 + +--S 185 of 520 +r0033:= 2*EllipticE(1/2*c-1/4*%pi+1/2*d*x,2)*(b*sin(c+d*x))^(1/2)/d/sin(c+d*x)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 185 + +--S 186 of 520 +a0033:= integrate(t0033,x) +--R +--R +--R x +--R ++ +---------------+ +--R (125) | \|b sin(%R d + c) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 186 + +--S 187 of 520 +m0033:= a0033-r0033 +--R +--R +--R x +--R ++ +---------------+ +--R (126) | \|b sin(%R d + c) d%R - r0033 +--R ++ +--R Type: Expression Integer +--E 187 + +--S 188 of 520 +d0033:= D(m0033,x) +--R +--R +--R +--------------+ +--R (127) \|b sin(d x + c) +--R Type: Expression Integer +--E 188 + +--S 189 of 520 +t0034:= (b*sin(c+d*x))^(3/2) +--R +--R +--R +--------------+ +--R (128) b sin(d x + c)\|b sin(d x + c) +--R Type: Expression Integer +--E 189 + +--S 190 of 520 +r0034:= -2/3*b^2*(-EllipticF(1/2*c-1/4*%pi+1/2*d*x,2)*sin(c+d*x)^(1/2)+cos(c+d*x)*sin(c+d*x))/d/(b*sin(c+d*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 190 + +--S 191 of 520 +a0034:= integrate(t0034,x) +--R +--R +--R x +--R ++ +---------------+ +--R (129) | b sin(%R d + c)\|b sin(%R d + c) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 191 + +--S 192 of 520 +--m0034:= a0034-r0034 +--E 192 + +--S 193 of 520 +--d0034:= D(m0034,x) +--E 193 + +--S 194 of 520 +t0035:= (b*sin(c+d*x))^(5/2) +--R +--R +--R 2 2 +--------------+ +--R (130) b sin(d x + c) \|b sin(d x + c) +--R Type: Expression Integer +--E 194 + +--S 195 of 520 +r0035:= 2/5*b^2*(b*sin(c+d*x))^(1/2)*(3*EllipticE(1/2*c-1/4*%pi+1/2*d*x,2)-cos(c+d*x)*sin(c+d*x)^(3/2))/d/sin(c+d*x)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 195 + +--S 196 of 520 +a0035:= integrate(t0035,x) +--R +--R +--R x +--R ++ 2 2 +---------------+ +--R (131) | b sin(%R d + c) \|b sin(%R d + c) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 196 + +--S 197 of 520 +--m0035:= a0035-r0035 +--E 197 + +--S 198 of 520 +--d0035:= D(m0035,x) +--E 198 + +--S 199 of 520 +t0036:= 1/(b*sin(c+d*x))^(1/2) +--R +--R +--R 1 +--R (132) ----------------- +--R +--------------+ +--R \|b sin(d x + c) +--R Type: Expression Integer +--E 199 + +--S 200 of 520 +r0036:= 2*EllipticF(1/2*c-1/4*%pi+1/2*d*x,2)*sin(c+d*x)^(1/2)/d/(b*sin(c+d*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 200 + +--S 201 of 520 +a0036:= integrate(t0036,x) +--R +--R +--R x +--R ++ 1 +--R (133) | ------------------ d%R +--R ++ +---------------+ +--R \|b sin(%R d + c) +--R Type: Union(Expression Integer,...) +--E 201 + +--S 202 of 520 +--m0036:= a0036-r0036 +--E 202 + +--S 203 of 520 +--d0036:= D(m0036,x) +--E 203 + +--S 204 of 520 +t0037:= 1/(b*sin(c+d*x))^(3/2) +--R +--R +--R 1 +--R (134) ------------------------------- +--R +--------------+ +--R b sin(d x + c)\|b sin(d x + c) +--R Type: Expression Integer +--E 204 + +--S 205 of 520 +r0037:= -2/b*(sin(c+d*x)^(1/2)*cos(c+d*x)+EllipticE(1/2*c-1/4*%pi+1/2*d*x,2)*sin(c+d*x))/d/(b*sin(c+d*x))^(1/2)/sin(c+d*x)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 205 + +--S 206 of 520 +a0037:= integrate(t0037,x) +--R +--R +--R x +--R ++ 1 +--R (135) | --------------------------------- d%R +--R ++ +---------------+ +--R b sin(%R d + c)\|b sin(%R d + c) +--R Type: Union(Expression Integer,...) +--E 206 + +--S 207 of 520 +--m0037:= a0037-r0037 +--E 207 + +--S 208 of 520 +--d0037:= D(m0037,x) +--E 208 + +--S 209 of 520 +t0038:= 1/(b*sin(c+d*x))^(5/2) +--R +--R +--R 1 +--R (136) -------------------------------- +--R 2 2 +--------------+ +--R b sin(d x + c) \|b sin(d x + c) +--R Type: Expression Integer +--E 209 + +--S 210 of 520 +r0038:= 2/3*(-cos(c+d*x)+EllipticF(1/2*c-1/4*%pi+1/2*d*x,2)*sin(c+d*x)^(3/2))/b^2/d/sin(c+d*x)/(b*sin(c+d*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 210 + +--S 211 of 520 +a0038:= integrate(t0038,x) +--R +--R +--R x +--R ++ 1 +--R (137) | ---------------------------------- d%R +--R ++ 2 2 +---------------+ +--R b sin(%R d + c) \|b sin(%R d + c) +--R Type: Union(Expression Integer,...) +--E 211 + +--S 212 of 520 +--m0038:= a0038-r0038 +--E 212 + +--S 213 of 520 +--d0038:= D(m0038,x) +--E 213 + +--S 214 of 520 +t0039:= x^2/(a+b*sin(x)) +--R +--R +--R 2 +--R x +--R (138) ------------ +--R b sin(x) + a +--R Type: Expression Integer +--E 214 + +--S 215 of 520 +r0039:= -(%i*x^2*log(-%i*(-%i*a+%i*(a^2-b^2)^(1/2)-b*exp(%i*x))/(-a+(a^2-b^2)^(1/2)))-%i*x^2*log(-%i*(%i*a+%i*(a^2-b^2)^(1/2)+b*exp(%i*x))/(a+(a^2-b^2)^(1/2)))+2*x*polylog(2,-%i*b*exp(%i*x)/(-a+(a^2-b^2)^(1/2)))-2*x*polylog(2,%i*b*exp(%i*x)/(a+(a^2-b^2)^(1/2)))+2*%i*polylog(3,-%i*b*exp(%i*x)/(-a+(a^2-b^2)^(1/2)))-2*%i*polylog(3,%i*b*exp(%i*x)/(a+(a^2-b^2)^(1/2))))/(a^2-b^2)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 215 + +--S 216 of 520 +a0039:= integrate(t0039,x) +--R +--R +--R x 2 +--R ++ %R +--R (139) | ------------- d%R +--R ++ b sin(%R) + a +--R Type: Union(Expression Integer,...) +--E 216 + +--S 217 of 520 +--m0039:= a0039-r0039 +--E 217 + +--S 218 of 520 +--d0039:= D(m0039,x) +--E 218 + +--S 219 of 520 +t0040:= x^3/(a+b*sin(x)) +--R +--R +--R 3 +--R x +--R (140) ------------ +--R b sin(x) + a +--R Type: Expression Integer +--E 219 + +--S 220 of 520 +r0040:= -(%i*x^3*log(-%i*(-%i*a+%i*(a^2-b^2)^(1/2)-b*exp(%i*x))/(-a+(a^2-b^2)^(1/2)))-%i*x^3*log(-%i*(%i*a+%i*(a^2-b^2)^(1/2)+b*exp(%i*x))/(a+(a^2-b^2)^(1/2)))+3*x^2*polylog(2,-%i*b*exp(%i*x)/(-a+(a^2-b^2)^(1/2)))-3*x^2*polylog(2,%i*b*exp(%i*x)/(a+(a^2-b^2)^(1/2)))+6*%i*x*polylog(3,-%i*b*exp(%i*x)/(-a+(a^2-b^2)^(1/2)))-6*%i*x*polylog(3,%i*b*exp(%i*x)/(a+(a^2-b^2)^(1/2)))-6*polylog(4,-%i*b*exp(%i*x)/(-a+(a^2-b^2)^(1/2)))+6*polylog(4,%i*b*exp(%i*x)/(a+(a^2-b^2)^(1/2))))/(a^2-b^2)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 220 + +--S 221 of 520 +a0040:= integrate(t0040,x) +--R +--R +--R x 3 +--R ++ %R +--R (141) | ------------- d%R +--R ++ b sin(%R) + a +--R Type: Union(Expression Integer,...) +--E 221 + +--S 222 of 520 +--m0040:= a0040-r0040 +--E 222 + +--S 223 of 520 +--d0040:= D(m0040,x) +--E 223 + +--S 224 of 520 +t0041:= x/(a+a*sin(x)) +--R +--R +--R x +--R (142) ------------ +--R a sin(x) + a +--R Type: Expression Integer +--E 224 + +--S 225 of 520 +r0041:= 2*log(cos(-1/4*%pi+1/2*x))/a-x*cot(1/4*%pi+1/2*x)/a +--R +--R +--R 2x - %pi 2x + %pi +--R 2log(cos(--------)) - x cot(--------) +--R 4 4 +--R (143) ------------------------------------- +--R a +--R Type: Expression Integer +--E 225 + +--S 226 of 520 +a0041:= integrate(t0041,x) +--R +--R +--R (144) +--R sin(x) + cos(x) + 1 +--R (2sin(x) + 2cos(x) + 2)log(-------------------) +--R cos(x) + 1 +--R + +--R 2 +--R (- sin(x) - cos(x) - 1)log(----------) + x sin(x) - x cos(x) - x +--R cos(x) + 1 +--R / +--R a sin(x) + a cos(x) + a +--R Type: Union(Expression Integer,...) +--E 226 + +--S 227 of 520 +m0041:= a0041-r0041 +--R +--R +--R (145) +--R sin(x) + cos(x) + 1 +--R (2sin(x) + 2cos(x) + 2)log(-------------------) +--R cos(x) + 1 +--R + +--R 2x - %pi +--R (- 2sin(x) - 2cos(x) - 2)log(cos(--------)) +--R 4 +--R + +--R 2 2x + %pi +--R (- sin(x) - cos(x) - 1)log(----------) + (x cot(--------) + x)sin(x) +--R cos(x) + 1 4 +--R + +--R 2x + %pi +--R (x cos(x) + x)cot(--------) - x cos(x) - x +--R 4 +--R / +--R a sin(x) + a cos(x) + a +--R Type: Expression Integer +--E 227 + +--S 228 of 520 +d0041:= D(m0041,x) +--R +--R +--R (146) +--R 2x - %pi 3 +--R 2cos(--------)sin(x) +--R 4 +--R + +--R 2x - %pi +--R (2cos(x) + 2)sin(--------) +--R 4 +--R + +--R 2x - %pi 2x - %pi 2x + %pi 2 +--R (- x cos(--------)cos(x) - x cos(--------))cot(--------) +--R 4 4 4 +--R + +--R 2x - %pi 2x - %pi 2x + %pi +--R (2cos(--------)cos(x) + 2cos(--------))cot(--------) +--R 4 4 4 +--R + +--R 2x - %pi 2x - %pi +--R (3x + 2)cos(--------)cos(x) + (3x + 2)cos(--------) +--R 4 4 +--R * +--R 2 +--R sin(x) +--R + +--R 2 2x - %pi +--R (4cos(x) + 8cos(x) + 4)sin(--------) +--R 4 +--R + +--R 2x - %pi 2 2x - %pi +--R - 2x cos(--------)cos(x) - 4x cos(--------)cos(x) +--R 4 4 +--R + +--R 2x - %pi +--R - 2x cos(--------) +--R 4 +--R * +--R 2x + %pi 2 +--R cot(--------) +--R 4 +--R + +--R 2x - %pi 2 2x - %pi 2x - %pi +--R (4cos(--------)cos(x) + 8cos(--------)cos(x) + 4cos(--------)) +--R 4 4 4 +--R * +--R 2x + %pi +--R cot(--------) +--R 4 +--R + +--R 2x - %pi 2 2x - %pi +--R (- 2x + 2)cos(--------)cos(x) - 4x cos(--------)cos(x) +--R 4 4 +--R + +--R 2x - %pi +--R (- 2x - 2)cos(--------) +--R 4 +--R * +--R sin(x) +--R + +--R 3 2 2x - %pi +--R (2cos(x) + 6cos(x) + 6cos(x) + 2)sin(--------) +--R 4 +--R + +--R 2x - %pi 3 2x - %pi 2 +--R - x cos(--------)cos(x) - 3x cos(--------)cos(x) +--R 4 4 +--R + +--R 2x - %pi 2x - %pi +--R - 3x cos(--------)cos(x) - x cos(--------) +--R 4 4 +--R * +--R 2x + %pi 2 +--R cot(--------) +--R 4 +--R + +--R 2x - %pi 3 2x - %pi 2 2x - %pi +--R 2cos(--------)cos(x) + 6cos(--------)cos(x) + 6cos(--------)cos(x) +--R 4 4 4 +--R + +--R 2x - %pi +--R 2cos(--------) +--R 4 +--R * +--R 2x + %pi +--R cot(--------) +--R 4 +--R + +--R 2x - %pi 3 2x - %pi 2 +--R (3x + 2)cos(--------)cos(x) + (5x + 2)cos(--------)cos(x) +--R 4 4 +--R + +--R 2x - %pi 2x - %pi +--R (x - 2)cos(--------)cos(x) + (- x - 2)cos(--------) +--R 4 4 +--R / +--R 2x - %pi 2x - %pi 2 +--R (2a cos(--------)cos(x) + 2a cos(--------))sin(x) +--R 4 4 +--R + +--R 2x - %pi 2 2x - %pi 2x - %pi +--R (4a cos(--------)cos(x) + 8a cos(--------)cos(x) + 4a cos(--------)) +--R 4 4 4 +--R * +--R sin(x) +--R + +--R 2x - %pi 3 2x - %pi 2 +--R 2a cos(--------)cos(x) + 6a cos(--------)cos(x) +--R 4 4 +--R + +--R 2x - %pi 2x - %pi +--R 6a cos(--------)cos(x) + 2a cos(--------) +--R 4 4 +--R Type: Expression Integer +--E 228 + +--S 229 of 520 +t0042:= x/(a-a*sin(x)) +--R +--R +--R x +--R (147) - ------------ +--R a sin(x) - a +--R Type: Expression Integer +--E 229 + +--S 230 of 520 +r0042:= 2*log(cos(1/4*%pi+1/2*x))/a+x*tan(1/4*%pi+1/2*x)/a +--R +--R +--R 2x + %pi 2x + %pi +--R 2log(cos(--------)) + x tan(--------) +--R 4 4 +--R (148) ------------------------------------- +--R a +--R Type: Expression Integer +--E 230 + +--S 231 of 520 +a0042:= integrate(t0042,x) +--R +--R +--R (149) +--R sin(x) - cos(x) - 1 +--R (2sin(x) - 2cos(x) - 2)log(-------------------) +--R cos(x) + 1 +--R + +--R 2 +--R (- sin(x) + cos(x) + 1)log(----------) - x sin(x) - x cos(x) - x +--R cos(x) + 1 +--R / +--R a sin(x) - a cos(x) - a +--R Type: Union(Expression Integer,...) +--E 231 + +--S 232 of 520 +m0042:= a0042-r0042 +--R +--R +--R (150) +--R sin(x) - cos(x) - 1 +--R (2sin(x) - 2cos(x) - 2)log(-------------------) +--R cos(x) + 1 +--R + +--R 2x + %pi +--R (- 2sin(x) + 2cos(x) + 2)log(cos(--------)) +--R 4 +--R + +--R 2 +--R (- sin(x) + cos(x) + 1)log(----------) +--R cos(x) + 1 +--R + +--R 2x + %pi +--R (- x sin(x) + x cos(x) + x)tan(--------) - x sin(x) - x cos(x) - x +--R 4 +--R / +--R a sin(x) - a cos(x) - a +--R Type: Expression Integer +--E 232 + +--S 233 of 520 +d0042:= D(m0042,x) +--R +--R +--R (151) +--R 2x + %pi 2x + %pi 2 +--R (- x cos(--------)cos(x) - x cos(--------))sin(x) +--R 4 4 +--R + +--R 2x + %pi 2 2x + %pi +--R 2x cos(--------)cos(x) + 4x cos(--------)cos(x) +--R 4 4 +--R + +--R 2x + %pi +--R 2x cos(--------) +--R 4 +--R * +--R sin(x) +--R + +--R 2x + %pi 3 2x + %pi 2 +--R - x cos(--------)cos(x) - 3x cos(--------)cos(x) +--R 4 4 +--R + +--R 2x + %pi 2x + %pi +--R - 3x cos(--------)cos(x) - x cos(--------) +--R 4 4 +--R * +--R 2x + %pi 2 +--R tan(--------) +--R 4 +--R + +--R 2x + %pi 2x + %pi 2 +--R (- 2cos(--------)cos(x) - 2cos(--------))sin(x) +--R 4 4 +--R + +--R 2x + %pi 2 2x + %pi 2x + %pi +--R (4cos(--------)cos(x) + 8cos(--------)cos(x) + 4cos(--------))sin(x) +--R 4 4 4 +--R + +--R 2x + %pi 3 2x + %pi 2 +--R - 2cos(--------)cos(x) - 6cos(--------)cos(x) +--R 4 4 +--R + +--R 2x + %pi 2x + %pi +--R - 6cos(--------)cos(x) - 2cos(--------) +--R 4 4 +--R * +--R 2x + %pi +--R tan(--------) +--R 4 +--R + +--R 2x + %pi 3 +--R 2cos(--------)sin(x) +--R 4 +--R + +--R 2x + %pi 2x + %pi +--R (2cos(x) + 2)sin(--------) + (3x - 2)cos(--------)cos(x) +--R 4 4 +--R + +--R 2x + %pi +--R (3x - 2)cos(--------) +--R 4 +--R * +--R 2 +--R sin(x) +--R + +--R 2 2x + %pi +--R (- 4cos(x) - 8cos(x) - 4)sin(--------) +--R 4 +--R + +--R 2x + %pi 2 2x + %pi +--R (2x + 2)cos(--------)cos(x) + 4x cos(--------)cos(x) +--R 4 4 +--R + +--R 2x + %pi +--R (2x - 2)cos(--------) +--R 4 +--R * +--R sin(x) +--R + +--R 3 2 2x + %pi +--R (2cos(x) + 6cos(x) + 6cos(x) + 2)sin(--------) +--R 4 +--R + +--R 2x + %pi 3 2x + %pi 2 +--R (3x - 2)cos(--------)cos(x) + (5x - 2)cos(--------)cos(x) +--R 4 4 +--R + +--R 2x + %pi 2x + %pi +--R (x + 2)cos(--------)cos(x) + (- x + 2)cos(--------) +--R 4 4 +--R / +--R 2x + %pi 2x + %pi 2 +--R (2a cos(--------)cos(x) + 2a cos(--------))sin(x) +--R 4 4 +--R + +--R 2x + %pi 2 2x + %pi 2x + %pi +--R (- 4a cos(--------)cos(x) - 8a cos(--------)cos(x) - 4a cos(--------)) +--R 4 4 4 +--R * +--R sin(x) +--R + +--R 2x + %pi 3 2x + %pi 2 +--R 2a cos(--------)cos(x) + 6a cos(--------)cos(x) +--R 4 4 +--R + +--R 2x + %pi 2x + %pi +--R 6a cos(--------)cos(x) + 2a cos(--------) +--R 4 4 +--R Type: Expression Integer +--E 233 + +--S 234 of 520 +t0043:= x/(a+b*sin(x))^2 +--R +--R +--R x +--R (152) ---------------------------- +--R 2 2 2 +--R b sin(x) + 2a b sin(x) + a +--R Type: Expression Integer +--E 234 + +--S 235 of 520 +r0043:= -%i*a*x*log(1-%i*b*exp(1)^(%i*x)/(a-(a^2-b^2)^(1/2)))/(a^2-b^2)^(3/2)+%i*a*x*log(1-%i*b*exp(1)^(%i*x)/(a+(a^2-b^2)^(1/2)))/(a^2-b^2)^(3/2)-log(a+b*sin(x))/(a^2-b^2)-a*polylog(2,%i*b*exp(1)^(%i*x)/(a-(a^2-b^2)^(1/2)))/(a^2-b^2)^(3/2)+a*polylog(2,%i*b*exp(1)^(%i*x)/(a+(a^2-b^2)^(1/2)))/(a^2-b^2)^(3/2)+b*x*cos(x)/(a^2-b^2)/(a+b*sin(x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 235 + +--S 236 of 520 +a0043:= integrate(t0043,x) +--R +--R +--R x +--R ++ %R +--R (153) | ------------------------------ d%R +--R ++ 2 2 2 +--R b sin(%R) + 2a b sin(%R) + a +--R Type: Union(Expression Integer,...) +--E 236 + +--S 237 of 520 +--m0043:= a0043-r0043 +--E 237 + +--S 238 of 520 +--d0043:= D(m0043,x) +--E 238 + +--S 239 of 520 +t0044:= x*(a+a*sin(c+d*x))^(1/2) +--R +--R +--R +------------------+ +--R (154) x\|a sin(d x + c) + a +--R Type: Expression Integer +--E 239 + +--S 240 of 520 +r0044:= 2*2^(1/2)*(a*sin(1/2*c+1/4*%pi+1/2*d*x)^2)^(1/2)*csc(1/2*c+1/4*%pi+1/2*d*x)*(2*sin(1/2*c+1/4*%pi+1/2*d*x)-d*x*cos(1/2*c+1/4*%pi+1/2*d*x))/d^2 +--R +--R +--R (155) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R 4\|2 csc(---------------)sin(---------------) +--R 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R - 2d x\|2 cos(---------------)csc(---------------) +--R 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a sin(---------------) +--R \| 4 +--R / +--R 2 +--R d +--R Type: Expression Integer +--E 240 + +--S 241 of 520 +a0044:= integrate(t0044,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 241 + +--S 242 of 520 +m0044:= a0044-r0044 +--R +--R +--R (156) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R - 4\|2 csc(---------------)sin(---------------) +--R 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R 2d x\|2 cos(---------------)csc(---------------) +--R 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a sin(---------------) +--R \| 4 +--R + +--R 2 +--R a0044 d +--R / +--R 2 +--R d +--R Type: Expression Integer +--E 242 + +--S 243 of 520 +d0044:= D(m0044,x) +--R +--R +--R (157) +--R +-+ 2d x + %pi + 2c +-+ 2d x + %pi + 2c +--R (2a\|2 cot(---------------) - a d x\|2 )csc(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R - a d x\|2 cos(---------------)cot(---------------) +--R 4 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 2a\|2 cos(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c 2d x + %pi + 2c 2 +--R csc(---------------)sin(---------------) +--R 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2d x + %pi + 2c 2d x + %pi + 2c +--R a d x\|2 cos(---------------) csc(---------------)sin(---------------) +--R 4 4 4 +--R / +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R d |a sin(---------------) +--R \| 4 +--R Type: Expression Integer +--E 243 + +--S 244 of 520 +t0045:= x^2*(a+a*sin(c+d*x))^(1/2) +--R +--R +--R 2 +------------------+ +--R (158) x \|a sin(d x + c) + a +--R Type: Expression Integer +--E 244 + +--S 245 of 520 +r0045:= 2*2^(1/2)*(a*sin(1/2*c+1/4*%pi+1/2*d*x)^2)^(1/2)*csc(1/2*c+1/4*%pi+1/2*d*x)*(4*d*x*sin(1/2*c+1/4*%pi+1/2*d*x)+(8-d^2*x^2)*cos(1/2*c+1/4*%pi+1/2*d*x))/d^3 +--R +--R +--R (159) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R 8d x\|2 csc(---------------)sin(---------------) +--R 4 4 +--R + +--R 2 2 +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R (- 2d x + 16)\|2 cos(---------------)csc(---------------) +--R 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a sin(---------------) +--R \| 4 +--R / +--R 3 +--R d +--R Type: Expression Integer +--E 245 + +--S 246 of 520 +a0045:= integrate(t0045,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 246 + +--S 247 of 520 +m0045:= a0045-r0045 +--R +--R +--R (160) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R - 8d x\|2 csc(---------------)sin(---------------) +--R 4 4 +--R + +--R 2 2 +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R (2d x - 16)\|2 cos(---------------)csc(---------------) +--R 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a sin(---------------) +--R \| 4 +--R + +--R 3 +--R a0045 d +--R / +--R 3 +--R d +--R Type: Expression Integer +--E 247 + +--S 248 of 520 +d0045:= D(m0045,x) +--R +--R +--R (161) +--R +-+ 2d x + %pi + 2c 2 2 +-+ 2d x + %pi + 2c +--R (4a d x\|2 cot(---------------) - a d x \|2 )csc(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R 2 2 +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R (- a d x + 8a)\|2 cos(---------------)cot(---------------) +--R 4 4 +--R + +--R +-+ 2d x + %pi + 2c +--R - 4a d x\|2 cos(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c 2d x + %pi + 2c 2 +--R csc(---------------)sin(---------------) +--R 4 4 +--R + +--R 2 2 +-+ 2d x + %pi + 2c 2 2d x + %pi + 2c +--R (a d x - 8a)\|2 cos(---------------) csc(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R / +--R +-----------------------+ +--R 2 | 2d x + %pi + 2c 2 +--R d |a sin(---------------) +--R \| 4 +--R Type: Expression Integer +--E 248 + +--S 249 of 520 +t0046:= x*(a-a*sin(c+d*x))^(1/2) +--R +--R +--R +--------------------+ +--R (162) x\|- a sin(d x + c) + a +--R Type: Expression Integer +--E 249 + +--S 250 of 520 +r0046:= 2*2^(1/2)*(a*cos(1/2*c+1/4*%pi+1/2*d*x)^2)^(1/2)*sec(1/2*c+1/4*%pi+1/2*d*x)*(2*cos(1/2*c+1/4*%pi+1/2*d*x)+d*x*sin(1/2*c+1/4*%pi+1/2*d*x))/d^2 +--R +--R +--R (163) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R 2d x\|2 sec(---------------)sin(---------------) +--R 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R 4\|2 cos(---------------)sec(---------------) +--R 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a cos(---------------) +--R \| 4 +--R / +--R 2 +--R d +--R Type: Expression Integer +--E 250 + +--S 251 of 520 +a0046:= integrate(t0046,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 251 + +--S 252 of 520 +m0046:= a0046-r0046 +--R +--R +--R (164) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R - 2d x\|2 sec(---------------)sin(---------------) +--R 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R - 4\|2 cos(---------------)sec(---------------) +--R 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a cos(---------------) +--R \| 4 +--R + +--R 2 +--R a0046 d +--R / +--R 2 +--R d +--R Type: Expression Integer +--E 252 + +--S 253 of 520 +d0046:= D(m0046,x) +--R +--R +--R (165) +--R - +--R +-+ 2d x + %pi + 2c 2 2d x + %pi + 2c +--R a d x\|2 cos(---------------) sec(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 2d x + %pi + 2c +--R - 2a\|2 cos(---------------) sec(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R tan(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c 2d x + %pi + 2c 2 +--R a d x\|2 cos(---------------)sec(---------------)sin(---------------) +--R 4 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2d x + %pi + 2c 2d x + %pi + 2c +--R 2a\|2 cos(---------------) sec(---------------)sin(---------------) +--R 4 4 4 +--R + +--R +-+ 2d x + %pi + 2c 3 2d x + %pi + 2c +--R - a d x\|2 cos(---------------) sec(---------------) +--R 4 4 +--R / +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R d |a cos(---------------) +--R \| 4 +--R Type: Expression Integer +--E 253 + +--S 254 of 520 +t0047:= x^2*(a-a*sin(c+d*x))^(1/2) +--R +--R +--R 2 +--------------------+ +--R (166) x \|- a sin(d x + c) + a +--R Type: Expression Integer +--E 254 + +--S 255 of 520 +r0047:= 2*2^(1/2)*(a*cos(1/2*c+1/4*%pi+1/2*d*x)^2)^(1/2)*sec(1/2*c+1/4*%pi+1/2*d*x)*(4*d*x*cos(1/2*c+1/4*%pi+1/2*d*x)-(8-d^2*x^2)*sin(1/2*c+1/4*%pi+1/2*d*x))/d^3 +--R +--R +--R (167) +--R 2 2 +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R (2d x - 16)\|2 sec(---------------)sin(---------------) +--R 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R 8d x\|2 cos(---------------)sec(---------------) +--R 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a cos(---------------) +--R \| 4 +--R / +--R 3 +--R d +--R Type: Expression Integer +--E 255 + +--S 256 of 520 +a0047:= integrate(t0047,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 256 + +--S 257 of 520 +m0047:= a0047-r0047 +--R +--R +--R (168) +--R 2 2 +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R (- 2d x + 16)\|2 sec(---------------)sin(---------------) +--R 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R - 8d x\|2 cos(---------------)sec(---------------) +--R 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a cos(---------------) +--R \| 4 +--R + +--R 3 +--R a0047 d +--R / +--R 3 +--R d +--R Type: Expression Integer +--E 257 + +--S 258 of 520 +d0047:= D(m0047,x) +--R +--R +--R (169) +--R 2 2 +-+ 2d x + %pi + 2c 2 2d x + %pi + 2c +--R (- a d x + 8a)\|2 cos(---------------) sec(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 2d x + %pi + 2c +--R - 4a d x\|2 cos(---------------) sec(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R tan(---------------) +--R 4 +--R + +--R 2 2 +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R (a d x - 8a)\|2 cos(---------------)sec(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2d x + %pi + 2c 2d x + %pi + 2c +--R 4a d x\|2 cos(---------------) sec(---------------)sin(---------------) +--R 4 4 4 +--R + +--R 2 2 +-+ 2d x + %pi + 2c 3 2d x + %pi + 2c +--R - a d x \|2 cos(---------------) sec(---------------) +--R 4 4 +--R / +--R +-----------------------+ +--R 2 | 2d x + %pi + 2c 2 +--R d |a cos(---------------) +--R \| 4 +--R Type: Expression Integer +--E 258 + +--S 259 of 520 +t0048:= (a+a*sin(c+d*x))^(1/2)/x +--R +--R +--R +------------------+ +--R \|a sin(d x + c) + a +--R (170) --------------------- +--R x +--R Type: Expression Integer +--E 259 + +--S 260 of 520 +r0048:= 2^(1/2)*(a*sin(1/2*c+1/4*%pi+1/2*d*x)^2)^(1/2)*csc(1/2*c+1/4*%pi+1/2*d*x)*(sin(1/2*c+1/4*%pi)*Ci(1/2*d*x)+cos(1/2*c+1/4*%pi)*Si(1/2*d*x)) +--R +--R +--R (171) +--R +-+ d x 2d x + %pi + 2c %pi + 2c +--R \|2 Ci(---)csc(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ d x %pi + 2c 2d x + %pi + 2c +--R \|2 Si(---)cos(--------)csc(---------------) +--R 2 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a sin(---------------) +--R \| 4 +--R Type: Expression Integer +--E 260 + +--S 261 of 520 +a0048:= integrate(t0048,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 261 + +--S 262 of 520 +m0048:= a0048-r0048 +--R +--R +--R (172) +--R +-+ d x 2d x + %pi + 2c %pi + 2c +--R - \|2 Ci(---)csc(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ d x %pi + 2c 2d x + %pi + 2c +--R - \|2 Si(---)cos(--------)csc(---------------) +--R 2 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a sin(---------------) +--R \| 4 +--R + +--R a0048 +--R Type: Expression Integer +--E 262 + +--S 263 of 520 +d0048:= D(m0048,x) +--R +--R +--R (173) +--R +-+ %pi + 2c 2d x + %pi + 2c d x +--R - 2a\|2 cos(--------)csc(---------------)sin(---) +--R 4 4 2 +--R + +--R +-+ d x 2d x + %pi + 2c +-+ d x +--R (a d x\|2 Ci(---)cot(---------------) - 2a\|2 cos(---)) +--R 2 4 2 +--R * +--R 2d x + %pi + 2c %pi + 2c +--R csc(---------------)sin(--------) +--R 4 4 +--R + +--R +-+ d x %pi + 2c 2d x + %pi + 2c 2d x + %pi + 2c +--R a d x\|2 Si(---)cos(--------)cot(---------------)csc(---------------) +--R 2 4 4 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R - +--R +-+ d x 2d x + %pi + 2c 2d x + %pi + 2c +--R a d x\|2 Ci(---)cos(---------------)csc(---------------) +--R 2 4 4 +--R * +--R %pi + 2c +--R sin(--------) +--R 4 +--R + +--R +-+ d x %pi + 2c 2d x + %pi + 2c 2d x + %pi + 2c +--R - a d x\|2 Si(---)cos(--------)cos(---------------)csc(---------------) +--R 2 4 4 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R / +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R 2x |a sin(---------------) +--R \| 4 +--R Type: Expression Integer +--E 263 + +--S 264 of 520 +t0049:= (a+a*sin(c+d*x))^(1/2)/x^2 +--R +--R +--R +------------------+ +--R \|a sin(d x + c) + a +--R (174) --------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 264 + +--S 265 of 520 +r0049:= -1/2*2^(1/2)*(a*sin(1/2*c+1/4*%pi+1/2*d*x)^2)^(1/2)*csc(1/2*c+1/4*%pi+1/2*d*x)*(2*sin(1/2*c+1/4*%pi+1/2*d*x)/x-d*Ci(1/2*d*x)*cos(1/2*c+1/4*%pi)+d*sin(1/2*c+1/4*%pi)*Si(1/2*d*x)) +--R +--R +--R (175) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R - 2\|2 csc(---------------)sin(---------------) +--R 4 4 +--R + +--R +-+ d x 2d x + %pi + 2c %pi + 2c +--R - d x\|2 Si(---)csc(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ d x %pi + 2c 2d x + %pi + 2c +--R d x\|2 Ci(---)cos(--------)csc(---------------) +--R 2 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a sin(---------------) +--R \| 4 +--R / +--R 2x +--R Type: Expression Integer +--E 265 + +--S 266 of 520 +a0049:= integrate(t0049,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 266 + +--S 267 of 520 +m0049:= a0049-r0049 +--R +--R +--R (176) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R 2\|2 csc(---------------)sin(---------------) +--R 4 4 +--R + +--R +-+ d x 2d x + %pi + 2c %pi + 2c +--R d x\|2 Si(---)csc(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ d x %pi + 2c 2d x + %pi + 2c +--R - d x\|2 Ci(---)cos(--------)csc(---------------) +--R 2 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a sin(---------------) +--R \| 4 +--R + +--R 2a0049 x +--R / +--R 2x +--R Type: Expression Integer +--E 267 + +--S 268 of 520 +d0049:= D(m0049,x) +--R +--R +--R (177) +--R +-+ 2d x + %pi + 2c +-+ 2d x + %pi + 2c +--R (- 2a d x\|2 cot(---------------) - 4a\|2 )csc(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c 3 +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c %pi + 2c d x +--R 2a d x\|2 csc(---------------)sin(--------)sin(---) +--R 4 4 2 +--R + +--R - +--R 2 2 +-+ d x 2d x + %pi + 2c 2d x + %pi + 2c +--R a d x \|2 Si(---)cot(---------------)csc(---------------) +--R 2 4 4 +--R * +--R %pi + 2c +--R sin(--------) +--R 4 +--R + +--R 2 2 +-+ d x %pi + 2c 2d x + %pi + 2c +--R a d x \|2 Ci(---)cos(--------)cot(---------------) +--R 2 4 4 +--R + +--R +-+ 2d x + %pi + 2c +-+ %pi + 2c d x +--R 4a d x\|2 cos(---------------) - 2a d x\|2 cos(--------)cos(---) +--R 4 4 2 +--R * +--R 2d x + %pi + 2c +--R csc(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 2 2 +-+ d x 2d x + %pi + 2c 2d x + %pi + 2c +--R a d x \|2 Si(---)cos(---------------)csc(---------------) +--R 2 4 4 +--R * +--R %pi + 2c +--R sin(--------) +--R 4 +--R + +--R - +--R 2 2 +-+ d x %pi + 2c 2d x + %pi + 2c +--R a d x \|2 Ci(---)cos(--------)cos(---------------) +--R 2 4 4 +--R * +--R 2d x + %pi + 2c +--R csc(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R / +--R +-----------------------+ +--R 2 | 2d x + %pi + 2c 2 +--R 4x |a sin(---------------) +--R \| 4 +--R Type: Expression Integer +--E 268 + +--S 269 of 520 +t0050:= (a+a*sin(c+d*x))^(1/2)/x^3 +--R +--R +--R +------------------+ +--R \|a sin(d x + c) + a +--R (178) --------------------- +--R 3 +--R x +--R Type: Expression Integer +--E 269 + +--S 270 of 520 +r0050:= -1/8*2^(1/2)*(a*sin(1/2*c+1/4*%pi+1/2*d*x)^2)^(1/2)*csc(1/2*c+1/4*%pi+1/2*d*x)*(4*sin(1/2*c+1/4*%pi+1/2*d*x)/x^2+d^2*sin(1/2*c+1/4*%pi)*Ci(1/2*d*x)+2*d*cos(1/2*c+1/4*%pi+1/2*d*x)/x+d^2*cos(1/2*c+1/4*%pi)*Si(1/2*d*x)) +--R +--R +--R (179) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R - 4\|2 csc(---------------)sin(---------------) +--R 4 4 +--R + +--R 2 2 +-+ d x 2d x + %pi + 2c %pi + 2c +--R - d x \|2 Ci(---)csc(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2 +-+ d x %pi + 2c +--R (- 2d x\|2 cos(---------------) - d x \|2 Si(---)cos(--------)) +--R 4 2 4 +--R * +--R 2d x + %pi + 2c +--R csc(---------------) +--R 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a sin(---------------) +--R \| 4 +--R / +--R 2 +--R 8x +--R Type: Expression Integer +--E 270 + +--S 271 of 520 +a0050:= integrate(t0050,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 271 + +--S 272 of 520 +m0050:= a0050-r0050 +--R +--R +--R (180) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R 4\|2 csc(---------------)sin(---------------) +--R 4 4 +--R + +--R 2 2 +-+ d x 2d x + %pi + 2c %pi + 2c +--R d x \|2 Ci(---)csc(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2 +-+ d x %pi + 2c +--R (2d x\|2 cos(---------------) + d x \|2 Si(---)cos(--------)) +--R 4 2 4 +--R * +--R 2d x + %pi + 2c +--R csc(---------------) +--R 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a sin(---------------) +--R \| 4 +--R + +--R 2 +--R 8a0050 x +--R / +--R 2 +--R 8x +--R Type: Expression Integer +--E 272 + +--S 273 of 520 +d0050:= D(m0050,x) +--R +--R +--R (181) +--R +-+ 2d x + %pi + 2c 2 2 +-+ +--R (- 4a d x\|2 cot(---------------) + (- 2a d x - 16a)\|2 ) +--R 4 +--R * +--R 2d x + %pi + 2c 2d x + %pi + 2c 3 +--R csc(---------------)sin(---------------) +--R 4 4 +--R + +--R 2 2 +-+ %pi + 2c 2d x + %pi + 2c d x +--R 2a d x \|2 cos(--------)csc(---------------)sin(---) +--R 4 4 2 +--R + +--R 3 3 +-+ d x 2d x + %pi + 2c 2 2 +-+ d x +--R (- a d x \|2 Ci(---)cot(---------------) + 2a d x \|2 cos(---)) +--R 2 4 2 +--R * +--R 2d x + %pi + 2c %pi + 2c +--R csc(---------------)sin(--------) +--R 4 4 +--R + +--R 2 2 +-+ 2d x + %pi + 2c +--R - 2a d x \|2 cos(---------------) +--R 4 +--R + +--R 3 3 +-+ d x %pi + 2c +--R - a d x \|2 Si(---)cos(--------) +--R 2 4 +--R * +--R 2d x + %pi + 2c +--R cot(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c +--R 4a d x\|2 cos(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c +--R csc(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c 2 +--R sin(---------------) +--R 4 +--R + +--R 3 3 +-+ d x 2d x + %pi + 2c 2d x + %pi + 2c +--R a d x \|2 Ci(---)cos(---------------)csc(---------------) +--R 2 4 4 +--R * +--R %pi + 2c +--R sin(--------) +--R 4 +--R + +--R 2 2 +-+ 2d x + %pi + 2c 2 +--R 2a d x \|2 cos(---------------) +--R 4 +--R + +--R 3 3 +-+ d x %pi + 2c 2d x + %pi + 2c +--R a d x \|2 Si(---)cos(--------)cos(---------------) +--R 2 4 4 +--R * +--R 2d x + %pi + 2c +--R csc(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R / +--R +-----------------------+ +--R 3 | 2d x + %pi + 2c 2 +--R 16x |a sin(---------------) +--R \| 4 +--R Type: Expression Integer +--E 273 + +--S 274 of 520 +t0051:= (a-a*sin(c+d*x))^(1/2)/x +--R +--R +--R +--------------------+ +--R \|- a sin(d x + c) + a +--R (182) ----------------------- +--R x +--R Type: Expression Integer +--E 274 + +--S 275 of 520 +r0051:= 2^(1/2)*(a*cos(1/2*c+1/4*%pi+1/2*d*x)^2)^(1/2)*sec(1/2*c+1/4*%pi+1/2*d*x)*(cos(1/2*c+1/4*%pi)*Ci(1/2*d*x)-sin(1/2*c+1/4*%pi)*Si(1/2*d*x)) +--R +--R +--R (183) +--R +-+ d x 2d x + %pi + 2c %pi + 2c +--R - \|2 Si(---)sec(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ d x %pi + 2c 2d x + %pi + 2c +--R \|2 Ci(---)cos(--------)sec(---------------) +--R 2 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a cos(---------------) +--R \| 4 +--R Type: Expression Integer +--E 275 + +--S 276 of 520 +a0051:= integrate(t0051,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 276 + +--S 277 of 520 +m0051:= a0051-r0051 +--R +--R +--R (184) +--R +-+ d x 2d x + %pi + 2c %pi + 2c +--R \|2 Si(---)sec(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ d x %pi + 2c 2d x + %pi + 2c +--R - \|2 Ci(---)cos(--------)sec(---------------) +--R 2 4 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a cos(---------------) +--R \| 4 +--R + +--R a0051 +--R Type: Expression Integer +--E 277 + +--S 278 of 520 +d0051:= D(m0051,x) +--R +--R +--R (185) +--R +-+ d x 2d x + %pi + 2c 2 2d x + %pi + 2c +--R a d x\|2 Si(---)cos(---------------) sec(---------------) +--R 2 4 4 +--R * +--R %pi + 2c +--R sin(--------) +--R 4 +--R + +--R - +--R +-+ d x %pi + 2c 2d x + %pi + 2c 2 +--R a d x\|2 Ci(---)cos(--------)cos(---------------) +--R 2 4 4 +--R * +--R 2d x + %pi + 2c +--R sec(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c +--R tan(---------------) +--R 4 +--R + +--R - +--R +-+ d x 2d x + %pi + 2c 2d x + %pi + 2c +--R a d x\|2 Si(---)cos(---------------)sec(---------------) +--R 2 4 4 +--R * +--R %pi + 2c +--R sin(--------) +--R 4 +--R + +--R +-+ d x %pi + 2c 2d x + %pi + 2c 2d x + %pi + 2c +--R a d x\|2 Ci(---)cos(--------)cos(---------------)sec(---------------) +--R 2 4 4 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2d x + %pi + 2c %pi + 2c d x +--R 2a\|2 cos(---------------) sec(---------------)sin(--------)sin(---) +--R 4 4 4 2 +--R + +--R +-+ %pi + 2c d x 2d x + %pi + 2c 2 2d x + %pi + 2c +--R - 2a\|2 cos(--------)cos(---)cos(---------------) sec(---------------) +--R 4 2 4 4 +--R / +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R 2x |a cos(---------------) +--R \| 4 +--R Type: Expression Integer +--E 278 + +--S 279 of 520 +t0052:= (a-a*sin(c+d*x))^(1/2)/x^2 +--R +--R +--R +--------------------+ +--R \|- a sin(d x + c) + a +--R (186) ----------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 279 + +--S 280 of 520 +r0052:= -1/2*2^(1/2)*(a*cos(1/2*c+1/4*%pi+1/2*d*x)^2)^(1/2)*sec(1/2*c+1/4*%pi+1/2*d*x)*(2*cos(1/2*c+1/4*%pi+1/2*d*x)/x+d*Ci(1/2*d*x)*sin(1/2*c+1/4*%pi)+d*cos(1/2*c+1/4*%pi)*Si(1/2*d*x)) +--R +--R +--R (187) +--R +-+ d x 2d x + %pi + 2c %pi + 2c +--R - d x\|2 Ci(---)sec(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ 2d x + %pi + 2c +-+ d x %pi + 2c +--R (- 2\|2 cos(---------------) - d x\|2 Si(---)cos(--------)) +--R 4 2 4 +--R * +--R 2d x + %pi + 2c +--R sec(---------------) +--R 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a cos(---------------) +--R \| 4 +--R / +--R 2x +--R Type: Expression Integer +--E 280 + +--S 281 of 520 +a0052:= integrate(t0052,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 281 + +--S 282 of 520 +m0052:= a0052-r0052 +--R +--R +--R (188) +--R +-+ d x 2d x + %pi + 2c %pi + 2c +--R d x\|2 Ci(---)sec(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ 2d x + %pi + 2c +-+ d x %pi + 2c +--R (2\|2 cos(---------------) + d x\|2 Si(---)cos(--------)) +--R 4 2 4 +--R * +--R 2d x + %pi + 2c +--R sec(---------------) +--R 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a cos(---------------) +--R \| 4 +--R + +--R 2a0052 x +--R / +--R 2x +--R Type: Expression Integer +--E 282 + +--S 283 of 520 +d0052:= D(m0052,x) +--R +--R +--R (189) +--R 2 2 +-+ d x 2d x + %pi + 2c 2 2d x + %pi + 2c +--R a d x \|2 Ci(---)cos(---------------) sec(---------------) +--R 2 4 4 +--R * +--R %pi + 2c +--R sin(--------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R 2a d x\|2 cos(---------------) +--R 4 +--R + +--R 2 2 +-+ d x %pi + 2c 2d x + %pi + 2c 2 +--R a d x \|2 Si(---)cos(--------)cos(---------------) +--R 2 4 4 +--R * +--R 2d x + %pi + 2c +--R sec(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c +--R tan(---------------) +--R 4 +--R + +--R - +--R 2 2 +-+ d x 2d x + %pi + 2c 2d x + %pi + 2c +--R a d x \|2 Ci(---)cos(---------------)sec(---------------) +--R 2 4 4 +--R * +--R %pi + 2c +--R sin(--------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 4a d x\|2 cos(---------------) +--R 4 +--R + +--R 2 2 +-+ d x %pi + 2c 2d x + %pi + 2c +--R - a d x \|2 Si(---)cos(--------)cos(---------------) +--R 2 4 4 +--R * +--R 2d x + %pi + 2c +--R sec(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R +-+ %pi + 2c 2d x + %pi + 2c 2 2d x + %pi + 2c d x +--R 2a d x\|2 cos(--------)cos(---------------) sec(---------------)sin(---) +--R 4 4 4 2 +--R + +--R +-+ d x 2d x + %pi + 2c 2 2d x + %pi + 2c %pi + 2c +--R 2a d x\|2 cos(---)cos(---------------) sec(---------------)sin(--------) +--R 2 4 4 4 +--R + +--R +-+ 2d x + %pi + 2c 3 2d x + %pi + 2c +--R - 4a\|2 cos(---------------) sec(---------------) +--R 4 4 +--R / +--R +-----------------------+ +--R 2 | 2d x + %pi + 2c 2 +--R 4x |a cos(---------------) +--R \| 4 +--R Type: Expression Integer +--E 283 + +--S 284 of 520 +t0053:= (a-a*sin(c+d*x))^(1/2)/x^3 +--R +--R +--R +--------------------+ +--R \|- a sin(d x + c) + a +--R (190) ----------------------- +--R 3 +--R x +--R Type: Expression Integer +--E 284 + +--S 285 of 520 +r0053:= -1/8*2^(1/2)*(a*cos(1/2*c+1/4*%pi+1/2*d*x)^2)^(1/2)*sec(1/2*c+1/4*%pi+1/2*d*x)*(4*cos(1/2*c+1/4*%pi+1/2*d*x)/x^2+d^2*cos(1/2*c+1/4*%pi)*Ci(1/2*d*x)-2*d*sin(1/2*c+1/4*%pi+1/2*d*x)/x-d^2*sin(1/2*c+1/4*%pi)*Si(1/2*d*x)) +--R +--R +--R (191) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R 2d x\|2 sec(---------------)sin(---------------) +--R 4 4 +--R + +--R 2 2 +-+ d x 2d x + %pi + 2c %pi + 2c +--R d x \|2 Si(---)sec(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2 +-+ d x %pi + 2c +--R (- 4\|2 cos(---------------) - d x \|2 Ci(---)cos(--------)) +--R 4 2 4 +--R * +--R 2d x + %pi + 2c +--R sec(---------------) +--R 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a cos(---------------) +--R \| 4 +--R / +--R 2 +--R 8x +--R Type: Expression Integer +--E 285 + +--S 286 of 520 +a0053:= integrate(t0053,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 286 + +--S 287 of 520 +m0053:= a0053-r0053 +--R +--R +--R (192) +--R +-+ 2d x + %pi + 2c 2d x + %pi + 2c +--R - 2d x\|2 sec(---------------)sin(---------------) +--R 4 4 +--R + +--R 2 2 +-+ d x 2d x + %pi + 2c %pi + 2c +--R - d x \|2 Si(---)sec(---------------)sin(--------) +--R 2 4 4 +--R + +--R +-+ 2d x + %pi + 2c 2 2 +-+ d x %pi + 2c +--R (4\|2 cos(---------------) + d x \|2 Ci(---)cos(--------)) +--R 4 2 4 +--R * +--R 2d x + %pi + 2c +--R sec(---------------) +--R 4 +--R * +--R +-----------------------+ +--R | 2d x + %pi + 2c 2 +--R |a cos(---------------) +--R \| 4 +--R + +--R 2 +--R 8a0053 x +--R / +--R 2 +--R 8x +--R Type: Expression Integer +--E 287 + +--S 288 of 520 +d0053:= D(m0053,x) +--R +--R +--R (193) +--R - +--R 2 2 +-+ 2d x + %pi + 2c 2 2d x + %pi + 2c +--R 2a d x \|2 cos(---------------) sec(---------------) +--R 4 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R - +--R 3 3 +-+ d x 2d x + %pi + 2c 2 2d x + %pi + 2c +--R a d x \|2 Si(---)cos(---------------) sec(---------------) +--R 2 4 4 +--R * +--R %pi + 2c +--R sin(--------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 3 +--R 4a d x\|2 cos(---------------) +--R 4 +--R + +--R 3 3 +-+ d x %pi + 2c 2d x + %pi + 2c 2 +--R a d x \|2 Ci(---)cos(--------)cos(---------------) +--R 2 4 4 +--R * +--R 2d x + %pi + 2c +--R sec(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c +--R tan(---------------) +--R 4 +--R + +--R 2 2 +-+ 2d x + %pi + 2c 2d x + %pi + 2c 2d x + %pi + 2c 2 +--R 2a d x \|2 cos(---------------)sec(---------------)sin(---------------) +--R 4 4 4 +--R + +--R 3 3 +-+ d x 2d x + %pi + 2c 2d x + %pi + 2c +--R a d x \|2 Si(---)cos(---------------)sec(---------------) +--R 2 4 4 +--R * +--R %pi + 2c +--R sin(--------) +--R 4 +--R + +--R +-+ 2d x + %pi + 2c 2 +--R - 4a d x\|2 cos(---------------) +--R 4 +--R + +--R 3 3 +-+ d x %pi + 2c 2d x + %pi + 2c +--R - a d x \|2 Ci(---)cos(--------)cos(---------------) +--R 2 4 4 +--R * +--R 2d x + %pi + 2c +--R sec(---------------) +--R 4 +--R * +--R 2d x + %pi + 2c +--R sin(---------------) +--R 4 +--R + +--R - +--R 2 2 +-+ 2d x + %pi + 2c 2 2d x + %pi + 2c %pi + 2c +--R 2a d x \|2 cos(---------------) sec(---------------)sin(--------) +--R 4 4 4 +--R * +--R d x +--R sin(---) +--R 2 +--R + +--R 2 2 +-+ 2d x + %pi + 2c 3 +--R (- 2a d x - 16a)\|2 cos(---------------) +--R 4 +--R + +--R 2 2 +-+ %pi + 2c d x 2d x + %pi + 2c 2 +--R 2a d x \|2 cos(--------)cos(---)cos(---------------) +--R 4 2 4 +--R * +--R 2d x + %pi + 2c +--R sec(---------------) +--R 4 +--R / +--R +-----------------------+ +--R 3 | 2d x + %pi + 2c 2 +--R 16x |a cos(---------------) +--R \| 4 +--R Type: Expression Integer +--E 288 + +--S 289 of 520 +t0054:= 1/(a+b*sin(x)^2)^2 +--R +--R +--R 1 +--R (194) ----------------------------- +--R 2 4 2 2 +--R b sin(x) + 2a b sin(x) + a +--R Type: Expression Integer +--E 289 + +--S 290 of 520 +r0054:= 1/2*(2*a+b)*atan((a+b)^(1/2)*tan(x)/a^(1/2))/a^(3/2)/(a+b)^(3/2)+1/2*b*tan(x)/a/(a+b)/(a+(a+b)*tan(x)^2) +--R +--R +--R (195) +--R +-----+ +--R 2 2 2 2 tan(x)\|b + a +--R ((b + 3a b + 2a )tan(x) + a b + 2a )atan(--------------) +--R +-+ +--R \|a +--R + +--R +-+ +-----+ +--R b tan(x)\|a \|b + a +--R / +--R 2 2 3 2 2 3 +-+ +-----+ +--R ((2a b + 4a b + 2a )tan(x) + 2a b + 2a )\|a \|b + a +--R Type: Expression Integer +--E 290 + +--S 291 of 520 +a0054:= integrate(t0054,x) +--R +--R +--R (196) +--R [ +--R 2 2 2 2 +--R ((b + 2a b)cos(x) - b - 3a b - 2a ) +--R * +--R log +--R +----------+ +--R 2 | 2 +--R ((- b - 2a)cos(x) + b + a)\|- a b - a +--R + +--R 2 +--R (2a b + 2a )cos(x)sin(x) +--R / +--R 2 +--R b cos(x) - b - a +--R + +--R +----------+ +--R | 2 +--R - 2b cos(x)sin(x)\|- a b - a +--R / +--R +----------+ +--R 2 2 2 2 2 3 | 2 +--R ((4a b + 4a b)cos(x) - 4a b - 8a b - 4a )\|- a b - a +--R , +--R +--R +--------+ +--R | 2 +--R 2 2 2 2 sin(x)\|a b + a +--R ((b + 2a b)cos(x) - b - 3a b - 2a )atan(-------------------------) +--R (2b + 2a)cos(x) + 2b + 2a +--R + +--R 2 2 2 2 +--R ((b + 2a b)cos(x) - b - 3a b - 2a ) +--R * +--R ((2b + a)cos(x) + 2b + 2a)sin(x) +--R atan(----------------------------------) +--R +--------+ +--R 2 | 2 +--R (cos(x) + 2cos(x) + 1)\|a b + a +--R + +--R +--------+ +--R | 2 +--R - b cos(x)sin(x)\|a b + a +--R / +--R +--------+ +--R 2 2 2 2 2 3 | 2 +--R ((2a b + 2a b)cos(x) - 2a b - 4a b - 2a )\|a b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 291 + +--S 292 of 520 +m0054a:= a0054.1-r0054 +--R +--R +--R (197) +--R 3 2 2 2 3 2 2 3 2 +--R ((b + 3a b + 2a b)cos(x) - b - 4a b - 5a b - 2a )tan(x) +--R + +--R 2 2 2 2 2 3 +--R (a b + 2a b)cos(x) - a b - 3a b - 2a +--R * +--R +-+ +-----+ +--R \|a \|b + a +--R * +--R +----------+ +--R 2 | 2 2 +--R ((- b - 2a)cos(x) + b + a)\|- a b - a + (2a b + 2a )cos(x)sin(x) +--R log(-------------------------------------------------------------------) +--R 2 +--R b cos(x) - b - a +--R + +--R 3 2 2 2 3 2 2 3 2 +--R ((- 2b - 6a b - 4a b)cos(x) + 2b + 8a b + 10a b + 4a )tan(x) +--R + +--R 2 2 2 2 2 3 +--R (- 2a b - 4a b)cos(x) + 2a b + 6a b + 4a +--R * +--R +----------+ +-----+ +--R | 2 tan(x)\|b + a +--R \|- a b - a atan(--------------) +--R +-+ +--R \|a +--R + +--R 2 2 2 2 2 +--R (- 2b - 2a b)cos(x)sin(x)tan(x) + (- 2b cos(x) + 2b + 2a b)tan(x) +--R + +--R - 2a b cos(x)sin(x) +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- a b - a \|a \|b + a +--R / +--R 3 2 2 3 2 3 2 2 3 4 2 +--R ((4a b + 8a b + 4a b)cos(x) - 4a b - 12a b - 12a b - 4a )tan(x) +--R + +--R 2 2 3 2 2 2 3 4 +--R (4a b + 4a b)cos(x) - 4a b - 8a b - 4a +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- a b - a \|a \|b + a +--R Type: Expression Integer +--E 292 + +--S 293 of 520 +d0054a:= D(m0054a,x) +--R +--R +--R (198) +--R 3 2 2 2 3 2 2 3 2 +--R ((- b - 2a b - a b)cos(x) - b - 3a b - 3a b - a )sin(x) +--R + +--R 3 2 6 3 2 2 4 +--R (- b - 2a b )cos(x) + (2b + 5a b + 3a b)cos(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 2b - 5a b - 4a b - a )cos(x) + b + 3a b + 3a b + a +--R * +--R 4 +--R tan(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((- 2a b - 2a b)cos(x) - 2a b - 4a b - 2a )sin(x) +--R + +--R 3 2 6 3 2 2 4 +--R (- 2b - 4a b )cos(x) + (6b + 12a b + 6a b)cos(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 6b - 14a b - 10a b - 2a )cos(x) + 2b + 6a b + 6a b + 2a +--R * +--R 2 +--R tan(x) +--R + +--R 2 2 2 3 2 3 2 6 +--R (- a b cos(x) - a b - a )sin(x) + (- b - 2a b )cos(x) +--R + +--R 3 2 2 4 3 2 2 3 2 3 +--R (3b + 7a b + 3a b)cos(x) + (- 3b - 8a b - 6a b - a )cos(x) + b +--R + +--R 2 2 3 +--R 3a b + 3a b + a +--R * +--R +----------+ +--R | 2 +--R \|- a b - a +--R + +--R 4 3 2 2 3 4 3 2 2 3 +--R ((b + 2a b + a b )cos(x) + (b + 3a b + 3a b + a b)cos(x)) +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 2 5 3 2 2 3 3 +--R (b + 4a b + 3a b )cos(x) + (- 3a b - 6a b - 3a b)cos(x) +--R + +--R 4 3 2 2 3 +--R (- b - 3a b - 3a b - a b)cos(x) +--R * +--R sin(x) +--R * +--R 4 +--R tan(x) +--R + +--R 3 2 2 3 3 2 2 3 3 +--R ((2a b + 2a b )cos(x) + (2a b + 4a b + 2a b)cos(x))sin(x) +--R + +--R 3 2 2 5 3 2 2 3 3 +--R (6a b + 6a b )cos(x) + (- 8a b - 14a b - 6a b)cos(x) +--R + +--R 3 2 2 3 +--R (2a b + 4a b + 2a b)cos(x) +--R * +--R sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 2 2 3 2 2 3 3 +--R (a b cos(x) + (a b + a b)cos(x))sin(x) +--R + +--R 3 2 2 5 3 2 2 3 3 +--R (2a b + 3a b )cos(x) + (- 4a b - 8a b - 3a b)cos(x) +--R + +--R 3 2 2 3 +--R (2a b + 5a b + 3a b)cos(x) +--R * +--R sin(x) +--R / +--R 5 4 2 3 3 2 6 +--R (b + 4a b + 5a b + 2a b )cos(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 3b - 13a b - 21a b - 15a b - 4a b)cos(x) +--R + +--R 5 4 2 3 3 2 4 5 2 5 +--R (3b + 14a b + 26a b + 24a b + 11a b + 2a )cos(x) - b +--R + +--R 4 2 3 3 2 4 5 +--R - 5a b - 10a b - 10a b - 5a b - a +--R * +--R 4 +--R tan(x) +--R + +--R 4 2 3 3 2 6 +--R (2a b + 6a b + 4a b )cos(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 6a b - 20a b - 22a b - 8a b)cos(x) +--R + +--R 4 2 3 3 2 4 5 2 4 2 3 +--R (6a b + 22a b + 30a b + 18a b + 4a )cos(x) - 2a b - 8a b +--R + +--R 3 2 4 5 +--R - 12a b - 8a b - 2a +--R * +--R 2 +--R tan(x) +--R + +--R 2 3 3 2 6 2 3 3 2 4 4 +--R (a b + 2a b )cos(x) + (- 3a b - 7a b - 4a b)cos(x) +--R + +--R 2 3 3 2 4 5 2 2 3 3 2 4 5 +--R (3a b + 8a b + 7a b + 2a )cos(x) - a b - 3a b - 3a b - a +--R * +--R +----------+ +--R | 2 +--R \|- a b - a +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 2a b - 6a b - 6a b - 2a b )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (4a b + 16a b + 24a b + 16a b + 4a b)cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 2a b - 10a b - 20a b - 20a b - 10a b - 2a )cos(x) +--R * +--R 4 +--R sin(x)tan(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 4a b - 8a b - 4a b )cos(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (8a b + 24a b + 24a b + 8a b)cos(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 4a b - 16a b - 24a b - 16a b - 4a )cos(x) +--R * +--R 2 +--R sin(x)tan(x) +--R + +--R 3 3 4 2 5 3 3 4 2 5 3 +--R (- 2a b - 2a b )cos(x) + (4a b + 8a b + 4a b)cos(x) +--R + +--R 3 3 4 2 5 6 +--R (- 2a b - 6a b - 6a b - 2a )cos(x) +--R * +--R sin(x) +--R Type: Expression Integer +--E 293 + +--S 294 of 520 +m0054b:= a0054.2-r0054 +--R +--R +--R (199) +--R 3 2 2 2 3 2 2 3 2 +--R ((b + 3a b + 2a b)cos(x) - b - 4a b - 5a b - 2a )tan(x) +--R + +--R 2 2 2 2 2 3 +--R (a b + 2a b)cos(x) - a b - 3a b - 2a +--R * +--R +--------+ +--R | 2 +--R +-+ +-----+ sin(x)\|a b + a +--R \|a \|b + a atan(-------------------------) +--R (2b + 2a)cos(x) + 2b + 2a +--R + +--R 3 2 2 2 3 2 2 3 2 +--R ((- b - 3a b - 2a b)cos(x) + b + 4a b + 5a b + 2a )tan(x) +--R + +--R 2 2 2 2 2 3 +--R (- a b - 2a b)cos(x) + a b + 3a b + 2a +--R * +--R +--------+ +-----+ +--R | 2 tan(x)\|b + a +--R \|a b + a atan(--------------) +--R +-+ +--R \|a +--R + +--R 3 2 2 2 3 2 2 3 2 +--R ((b + 3a b + 2a b)cos(x) - b - 4a b - 5a b - 2a )tan(x) +--R + +--R 2 2 2 2 2 3 +--R (a b + 2a b)cos(x) - a b - 3a b - 2a +--R * +--R +-+ +-----+ ((2b + a)cos(x) + 2b + 2a)sin(x) +--R \|a \|b + a atan(----------------------------------) +--R +--------+ +--R 2 | 2 +--R (cos(x) + 2cos(x) + 1)\|a b + a +--R + +--R 2 2 2 2 2 +--R (- b - a b)cos(x)sin(x)tan(x) + (- b cos(x) + b + a b)tan(x) +--R + +--R - a b cos(x)sin(x) +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|a \|b + a \|a b + a +--R / +--R 3 2 2 3 2 3 2 2 3 4 2 +--R ((2a b + 4a b + 2a b)cos(x) - 2a b - 6a b - 6a b - 2a )tan(x) +--R + +--R 2 2 3 2 2 2 3 4 +--R (2a b + 2a b)cos(x) - 2a b - 4a b - 2a +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|a \|b + a \|a b + a +--R Type: Expression Integer +--E 294 + +--S 295 of 520 +d0054b:= D(m0054b,x) +--R +--R +--R (200) +--R 6 2 5 3 4 4 3 5 2 4 +--R (- 4a b - 12a b - 13a b - 6a b - a b )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 3 +--R (- 8a b - 28a b - 36a b - 20a b - 4a b )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 2 +--R (- 8a b - 32a b - 49a b - 35a b - 11a b - a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 8a b - 36a b - 64a b - 56a b - 24a b - 4a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 4a b - 20a b - 40a b - 40a b - 20a b - 4a b +--R * +--R 6 +--R sin(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R (- 8b - 26a b - 38a b - 30a b - 12a b - 2a b )cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 5 +--R (- 48b - 188a b - 300a b - 244a b - 100a b - 16a b )cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 120b - 562a b - 1062a b - 1029a b - 532a b - 135a b +--R + +--R 6 +--R - 12a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 160b - 848a b - 1836a b - 2076a b - 1292a b - 420a b +--R + +--R 6 +--R - 56a b +--R * +--R 3 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 120b - 662a b - 1514a b - 1831a b - 1225a b - 419a b +--R + +--R 6 7 +--R - 49a b + 4a +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 48b - 244a b - 496a b - 488a b - 192a b + 44a b +--R + +--R 6 7 +--R 64a b + 16a +--R * +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 7 +--R - 8b - 30a b - 18a b + 82a b + 188a b + 174a b + 78a b + 14a +--R * +--R 4 +--R sin(x) +--R + +--R 6 2 5 3 4 4 3 5 2 8 +--R (- 12a b - 28a b - 21a b - 6a b - a b )cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 7 +--R (- 8b - 98a b - 238a b - 230a b - 98a b - 16a b )cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 40b - 310a b - 778a b - 910a b - 541a b - 154a b +--R + +--R 6 +--R - 15a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 72b - 450a b - 1150a b - 1546a b - 1150a b - 444a b +--R + +--R 6 +--R - 68a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 40b - 206a b - 530a b - 817a b - 721a b - 313a b +--R + +--R 6 7 +--R - 37a b + 8a +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 40b + 234a b + 558a b + 744a b + 660a b + 426a b +--R + +--R 6 7 +--R 182a b + 36a +--R * +--R 3 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 72b + 366a b + 810a b + 1070a b + 976a b + 630a b +--R + +--R 6 7 +--R 254a b + 46a +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 40b + 186a b + 350a b + 352a b + 228a b + 122a b +--R + +--R 6 7 +--R 54a b + 12a +--R * +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 7 +--R 8b + 34a b + 46a b - 2a b - 68a b - 74a b - 34a b - 6a +--R * +--R 2 +--R sin(x) +--R + +--R 7 6 2 5 3 4 4 3 10 +--R (8b + 42a b + 78a b + 62a b + 18a b )cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 9 +--R (40b + 210a b + 386a b + 298a b + 78a b - 4a b )cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 8 +--R (64b + 312a b + 480a b + 204a b - 108a b - 84a b - 4a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (- 120a b - 652a b - 1252a b - 1044a b - 340a b - 16a b)cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 112b - 804a b - 2188a b - 2834a b - 1730a b - 358a b +--R + +--R 6 7 +--R 38a b + 4a +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 112b - 708a b - 1560a b - 1334a b - 22a b + 606a b +--R + +--R 6 7 +--R 278a b + 20a +--R * +--R 5 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 120a b + 856a b + 2264a b + 2888a b + 1840a b + 512a b +--R + +--R 7 +--R 32a +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 64b + 552a b + 1900a b + 3368a b + 3272a b + 1672a b +--R + +--R 6 7 +--R 364a b + 8a +--R * +--R 3 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 40b + 330a b + 1038a b + 1624a b + 1316a b + 474a b + 6a b +--R + +--R 7 +--R - 28a +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 8b + 66a b + 182a b + 200a b + 20a b - 142a b - 114a b +--R + +--R 7 +--R - 28a +--R * +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R - 8a b - 40a b - 80a b - 80a b - 40a b - 8a +--R * +--R 4 +--R tan(x) +--R + +--R 2 5 3 4 4 3 5 2 4 +--R (- 8a b - 16a b - 10a b - 2a b )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 3 +--R (- 16a b - 40a b - 32a b - 8a b )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 2 +--R (- 16a b - 48a b - 50a b - 20a b - 2a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 2 5 +--R (- 16a b - 56a b - 72a b - 40a b - 8a b)cos(x) - 8a b +--R + +--R 3 4 4 3 5 2 6 +--R - 32a b - 48a b - 32a b - 8a b +--R * +--R 6 +--R sin(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 16a b - 52a b - 56a b - 24a b - 4a b )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 5 +--R (- 96a b - 312a b - 368a b - 184a b - 32a b )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 240a b - 868a b - 1208a b - 794a b - 238a b - 24a b) +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 320a b - 1312a b - 2136a b - 1728a b - 696a b - 112a b) +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 240a b - 1068a b - 1896a b - 1674a b - 724a b - 110a b +--R + +--R 7 +--R 8a +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 96a b - 424a b - 712a b - 520a b - 88a b + 80a b +--R + +--R 7 +--R 32a +--R * +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R - 16a b - 60a b - 56a b + 60a b + 156a b + 112a b + 28a +--R * +--R 4 +--R sin(x) +--R + +--R 6 2 5 3 4 4 3 5 2 8 +--R (- 64a b - 152a b - 116a b - 30a b - 2a b )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 7 +--R (- 272a b - 756a b - 728a b - 276a b - 32a b )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 336a b - 1116a b - 1400a b - 828a b - 238a b - 30a b) +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 5 +--R (112a b + 204a b - 184a b - 668a b - 528a b - 136a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 560a b + 1908a b + 2208a b + 790a b - 196a b - 110a b +--R + +--R 7 +--R 16a +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 336a b + 1220a b + 1608a b + 936a b + 320a b + 180a b +--R + +--R 7 +--R 72a +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 112a b - 628a b - 1304a b - 1172a b - 292a b + 184a b +--R + +--R 7 +--R 92a +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 176a b - 924a b - 1912a b - 1928a b - 912a b - 124a b +--R + +--R 7 +--R 24a +--R * +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R - 48a b - 268a b - 604a b - 696a b - 424a b - 124a b - 12a +--R * +--R 2 +--R sin(x) +--R + +--R 6 2 5 3 4 4 3 10 +--R (16a b + 52a b + 56a b + 20a b )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 9 +--R (80a b + 244a b + 240a b + 68a b - 8a b )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 8 +--R (128a b + 288a b + 80a b - 200a b - 128a b - 8a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (- 368a b - 1128a b - 1184a b - 456a b - 32a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 224a b - 1160a b - 2096a b - 1572a b - 368a b + 52a b +--R + +--R 7 +--R 8a +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (- 224a b - 744a b - 584a b + 508a b + 952a b + 420a b + 40a ) +--R * +--R 5 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 4 +--R (464a b + 1920a b + 3040a b + 2240a b + 720a b + 64a )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 128a b + 848a b + 2120a b + 2568a b + 1544a b + 392a b +--R + +--R 7 +--R 16a +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (80a b + 372a b + 632a b + 408a b - 48a b - 172a b - 56a ) +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (16a b + 20a b - 136a b - 424a b - 496a b - 268a b - 56a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R - 16a b - 80a b - 160a b - 160a b - 80a b - 16a +--R * +--R 2 +--R tan(x) +--R + +--R 3 4 4 3 5 2 4 3 4 4 3 5 2 3 +--R (- 4a b - 4a b - a b )cos(x) + (- 8a b - 12a b - 4a b )cos(x) +--R + +--R 3 4 4 3 5 2 6 2 +--R (- 8a b - 16a b - 9a b - a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 3 4 4 3 5 2 +--R (- 8a b - 20a b - 16a b - 4a b)cos(x) - 4a b - 12a b - 12a b +--R + +--R 6 +--R - 4a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (- 16a b - 26a b - 12a b - 2a b )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 5 +--R (- 64a b - 132a b - 84a b - 16a b )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 4 +--R (- 112a b - 298a b - 278a b - 103a b - 12a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 3 +--R (- 128a b - 416a b - 508a b - 276a b - 56a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 2 +--R (- 112a b - 390a b - 512a b - 299a b - 61a b + 4a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (- 64a b - 220a b - 264a b - 108a b + 16a b + 16a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R - 16a b - 54a b - 54a b + 4a b + 34a b + 14a +--R * +--R 4 +--R sin(x) +--R + +--R 6 2 5 3 4 4 3 5 2 8 +--R (- 32a b - 96a b - 86a b - 24a b - a b )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 7 +--R (- 128a b - 424a b - 458a b - 178a b - 16a b )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 6 +--R (- 128a b - 456a b - 582a b - 322a b - 84a b - 15a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 5 +--R (128a b + 536a b + 726a b + 302a b - 84a b - 68a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (320a b + 1400a b + 2142a b + 1278a b + 135a b - 73a b + 8a ) +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (128a b + 584a b + 882a b + 450a b - 14a b - 2a b + 36a )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 128a b - 664a b - 1426a b - 1534a b - 760a b - 70a b +--R + +--R 7 +--R 46a +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 128a b - 696a b - 1534a b - 1694a b - 918a b - 178a b +--R + +--R 7 +--R 12a +--R * +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R - 32a b - 184a b - 432a b - 518a b - 322a b - 90a b - 6a +--R * +--R 2 +--R sin(x) +--R + +--R 3 4 4 3 10 2 5 3 4 4 3 5 2 9 +--R (2a b + 2a b )cos(x) + (- 8a b - 14a b - 10a b - 4a b )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 8 +--R (- 40a b - 112a b - 112a b - 44a b - 4a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (- 64a b - 216a b - 252a b - 116a b - 16a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 7 6 +--R (- 20a b - 28a b + 2a b + 14a b + 4a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 5 +--R (112a b + 412a b + 592a b + 414a b + 142a b + 20a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 4 +--R (112a b + 456a b + 720a b + 552a b + 208a b + 32a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 3 +--R (8a b + 28a b + 40a b + 28a b + 8a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 2 +--R (- 64a b - 286a b - 502a b - 430a b - 178a b - 28a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 2 5 +--R (- 40a b - 190a b - 358a b - 334a b - 154a b - 28a )cos(x) - 8a b +--R + +--R 3 4 4 3 5 2 6 7 +--R - 40a b - 80a b - 80a b - 40a b - 8a +--R / +--R 2 7 3 6 4 5 5 4 6 3 7 2 6 +--R (8a b + 32a b + 50a b + 38a b + 14a b + 2a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 5 +--R (16a b + 72a b + 128a b + 112a b + 48a b + 8a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R (- 8a b - 40a b - 84a b - 96a b - 64a b - 24a b - 4a b) +--R * +--R 4 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 32a b - 176a b - 400a b - 480a b - 320a b - 112a b +--R + +--R 8 +--R - 16a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 8a b - 48a b - 118a b - 150a b - 100a b - 28a b +--R + +--R 8 9 +--R 2a b + 2a +--R * +--R 2 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 16a b + 104a b + 288a b + 440a b + 400a b + 216a b +--R + +--R 8 9 +--R 64a b + 8a +--R * +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R 8a b + 56a b + 168a b + 280a b + 280a b + 168a b + 56a b +--R + +--R 9 +--R 8a +--R * +--R 4 +--R sin(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 32a b + 160a b + 330a b + 360a b + 220a b + 72a b +--R + +--R 7 2 +--R 10a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 128a b + 672a b + 1464a b + 1696a b + 1104a b + 384a b +--R + +--R 7 2 +--R 56a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 128a b + 672a b + 1440a b + 1580a b + 880a b + 168a b +--R + +--R 7 2 8 +--R - 48a b - 20a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 128a b - 864a b - 2504a b - 4048a b - 3952a b +--R + +--R 6 3 7 2 8 +--R - 2336a b - 776a b - 112a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 320a b - 2080a b - 5788a b - 8932a b - 8238a b +--R + +--R 6 3 7 2 8 9 +--R - 4512a b - 1328a b - 140a b + 10a +--R * +--R 4 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 128a b - 800a b - 2072a b - 2784a b - 1880a b +--R + +--R 6 3 7 2 8 9 +--R - 288a b + 440a b + 288a b + 56a +--R * +--R 3 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 128a b + 992a b + 3376a b + 6596a b + 8100a b + 6408a b +--R + +--R 7 2 8 9 +--R 3192a b + 916a b + 116a +--R * +--R 2 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 128a b + 992a b + 3368a b + 6544a b + 7960a b + 6208a b +--R + +--R 7 2 8 9 +--R 3032a b + 848a b + 104a +--R * +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 32a b + 256a b + 898a b + 1804a b + 2270a b + 1832a b +--R + +--R 7 2 8 9 +--R 926a b + 268a b + 34a +--R * +--R 2 +--R sin(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 10 +--R (8a b + 40a b + 80a b + 80a b + 40a b + 8a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 9 +--R (48a b + 240a b + 480a b + 480a b + 240a b + 48a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R (104a b + 504a b + 960a b + 880a b + 360a b + 24a b - 16a b) +--R * +--R 8 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R (64a b + 224a b + 160a b - 320a b - 640a b - 416a b - 96a b) +--R * +--R 7 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 112a b - 784a b - 2232a b - 3320a b - 2720a b - 1152a b +--R + +--R 8 9 +--R - 184a b + 8a +--R * +--R 6 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 224a b - 1344a b - 3312a b - 4240a b - 2880a b - 864a b +--R + +--R 8 9 +--R 16a b + 48a +--R * +--R 5 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 112a b - 560a b - 1000a b - 520a b + 640a b + 1088a b +--R + +--R 8 9 +--R 600a b + 120a +--R * +--R 4 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 64a b + 544a b + 1920a b + 3680a b + 4160a b + 2784a b +--R + +--R 8 9 +--R 1024a b + 160a +--R * +--R 3 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 104a b + 744a b + 2280a b + 3880a b + 3960a b + 2424a b +--R + +--R 8 9 +--R 824a b + 120a +--R * +--R 2 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 48a b + 336a b + 1008a b + 1680a b + 1680a b + 1008a b +--R + +--R 8 9 +--R 336a b + 48a +--R * +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 9 +--R 8a b + 56a b + 168a b + 280a b + 280a b + 168a b + 56a b + 8a +--R * +--R 4 +--R tan(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 6 +--R (16a b + 48a b + 52a b + 24a b + 4a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 5 +--R (32a b + 112a b + 144a b + 80a b + 16a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 4 +--R (- 16a b - 64a b - 104a b - 88a b - 40a b - 8a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 3 +--R (- 64a b - 288a b - 512a b - 448a b - 192a b - 32a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 9 2 +--R (- 16a b - 80a b - 156a b - 144a b - 56a b + 4a )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 32a b + 176a b + 400a b + 480a b + 320a b + 112a b +--R + +--R 9 +--R 16a +--R * +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 +--R 16a b + 96a b + 240a b + 320a b + 240a b + 96a b + 16a +--R * +--R 4 +--R sin(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R (64a b + 256a b + 404a b + 316a b + 124a b + 20a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R (256a b + 1088a b + 1840a b + 1552a b + 656a b + 112a b ) +--R * +--R 7 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 256a b + 1088a b + 1792a b + 1368a b + 392a b - 56a b +--R + +--R 8 +--R - 40a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 256a b - 1472a b - 3536a b - 4560a b - 3344a b +--R + +--R 7 2 8 +--R - 1328a b - 224a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 640a b - 3520a b - 8056a b - 9808a b - 6668a b +--R + +--R 7 2 8 9 +--R - 2356a b - 300a b + 20a +--R * +--R 4 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 256a b - 1344a b - 2800a b - 2768a b - 992a b +--R + +--R 7 2 8 9 +--R 416a b + 464a b + 112a +--R * +--R 3 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 256a b + 1728a b + 5024a b + 8168a b + 8032a b +--R + +--R 7 2 8 9 +--R 4784a b + 1600a b + 232a +--R * +--R 2 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 256a b + 1728a b + 5008a b + 8080a b + 7840a b +--R + +--R 7 2 8 9 +--R 4576a b + 1488a b + 208a +--R * +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 64a b + 448a b + 1348a b + 2260a b + 2280a b + 1384a b +--R + +--R 8 9 +--R 468a b + 68a +--R * +--R 2 +--R sin(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 10 +--R (16a b + 64a b + 96a b + 64a b + 16a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 9 +--R (96a b + 384a b + 576a b + 384a b + 96a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 8 +--R (208a b + 800a b + 1120a b + 640a b + 80a b - 32a b)cos(x) +--R + +--R 3 6 4 5 6 3 7 2 8 7 +--R (128a b + 320a b - 640a b - 640a b - 192a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R - 224a b - 1344a b - 3120a b - 3520a b - 1920a b - 384a b +--R + +--R 9 +--R 16a +--R * +--R 6 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R - 448a b - 2240a b - 4384a b - 4096a b - 1664a b - 64a b +--R + +--R 9 +--R 96a +--R * +--R 5 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R - 224a b - 896a b - 1104a b + 64a b + 1216a b + 960a b +--R + +--R 9 +--R 240a +--R * +--R 4 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 128a b + 960a b + 2880a b + 4480a b + 3840a b + 1728a b +--R + +--R 9 +--R 320a +--R * +--R 3 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 208a b + 1280a b + 3280a b + 4480a b + 3440a b + 1408a b +--R + +--R 9 +--R 240a +--R * +--R 2 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 +--R (96a b + 576a b + 1440a b + 1920a b + 1440a b + 576a b + 96a ) +--R * +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 +--R 16a b + 96a b + 240a b + 320a b + 240a b + 96a b + 16a +--R * +--R 2 +--R tan(x) +--R + +--R 4 5 5 4 6 3 7 2 6 +--R (8a b + 16a b + 10a b + 2a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 5 +--R (16a b + 40a b + 32a b + 8a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 4 +--R (- 8a b - 24a b - 28a b - 16a b - 4a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 3 +--R (- 32a b - 112a b - 144a b - 80a b - 16a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 2 +--R (- 8a b - 32a b - 46a b - 26a b - 2a b + 2a )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 4 5 +--R (16a b + 72a b + 128a b + 112a b + 48a b + 8a )cos(x) + 8a b +--R + +--R 5 4 6 3 7 2 8 9 +--R 40a b + 80a b + 80a b + 40a b + 8a +--R * +--R 4 +--R sin(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R (32a b + 96a b + 106a b + 52a b + 10a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 7 +--R (128a b + 416a b + 504a b + 272a b + 56a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 6 +--R (128a b + 416a b + 480a b + 204a b - 8a b - 20a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 5 +--R (- 128a b - 608a b - 1160a b - 1120a b - 552a b - 112a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R - 320a b - 1440a b - 2588a b - 2316a b - 1018a b - 160a b +--R + +--R 9 +--R 10a +--R * +--R 4 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 +--R (- 128a b - 544a b - 856a b - 528a b + 32a b + 176a b + 56a ) +--R * +--R 3 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 128a b + 736a b + 1776a b + 2308a b + 1708a b + 684a b +--R + +--R 9 +--R 116a +--R * +--R 2 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 128a b + 736a b + 1768a b + 2272a b + 1648a b + 640a b +--R + +--R 9 +--R 104a +--R * +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 +--R 32a b + 192a b + 482a b + 648a b + 492a b + 200a b + 34a +--R * +--R 2 +--R sin(x) +--R + +--R 4 5 5 4 6 3 7 2 10 +--R (8a b + 24a b + 24a b + 8a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 9 +--R (48a b + 144a b + 144a b + 48a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 8 +--R (104a b + 296a b + 264a b + 56a b - 16a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 7 +--R (64a b + 96a b - 96a b - 224a b - 96a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 6 +--R (- 112a b - 560a b - 1000a b - 760a b - 200a b + 8a )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 5 +--R (- 224a b - 896a b - 1296a b - 752a b - 80a b + 48a )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 4 +--R (- 112a b - 336a b - 216a b + 248a b + 360a b + 120a )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 3 +--R (64a b + 416a b + 1024a b + 1216a b + 704a b + 160a )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 2 +--R (104a b + 536a b + 1104a b + 1136a b + 584a b + 120a )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 4 5 +--R (48a b + 240a b + 480a b + 480a b + 240a b + 48a )cos(x) + 8a b +--R + +--R 5 4 6 3 7 2 8 9 +--R 40a b + 80a b + 80a b + 40a b + 8a +--R Type: Expression Integer +--E 295 + +--S 296 of 520 +t0055:= (1+sin(x)^2)^(1/2) +--R +--R +--R +-----------+ +--R | 2 +--R (201) \|sin(x) + 1 +--R Type: Expression Integer +--E 296 + +--S 297 of 520 +r0055:= x +--R +--R +--R (202) x +--R Type: Variable x +--E 297 + +--S 298 of 520 +a0055:= integrate(t0055,x) +--R +--R +--R x +------------+ +--R ++ | 2 +--R (203) | \|sin(%R) + 1 d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 298 + +--S 299 of 520 +m0055:= a0055-r0055 +--R +--R +--R x +------------+ +--R ++ | 2 +--R (204) | \|sin(%R) + 1 d%R - x +--R ++ +--R Type: Expression Integer +--E 299 + +--S 300 of 520 +d0055:= D(m0055,x) +--R +--R +--R +-----------+ +--R | 2 +--R (205) \|sin(x) + 1 - 1 +--R Type: Expression Integer +--E 300 + +--S 301 of 520 +t0056:= (-1-sin(x)^2)^(1/2) +--R +--R +--R +-------------+ +--R | 2 +--R (206) \|- sin(x) - 1 +--R Type: Expression Integer +--E 301 + +--S 302 of 520 +r0056:= (-3+cos(2*x))^(1/2)*x/(3-cos(2*x))^(1/2) +--R +--R +--R +-----------+ +--R x\|cos(2x) - 3 +--R (207) ---------------- +--R +-------------+ +--R \|- cos(2x) + 3 +--R Type: Expression Integer +--E 302 + +--S 303 of 520 +a0056:= integrate(t0056,x) +--R +--R +--R (208) +--R +---+ 2 +---+ +--R x\|- 1 x\|- 1 +--R (2(%e ) - 2%e ) +--R * +--R INTSIGN +--R , +--R x +--R , +--R +---+ 2 +--R +---+ %R\|- 1 +---+ +--R (2\|- 1 (%e ) + 2\|- 1 ) +--R * +--R +----------------------------------+ +--R | +---+ 4 +---+ 2 +--R | %R\|- 1 %R\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R / +--R +---+ 6 +---+ 4 +---+ 2 +--R %R\|- 1 %R\|- 1 %R\|- 1 +--R (%e ) - 6(%e ) + (%e ) +--R * +--R d%R +--R + +--R +--------------------------------+ +--R +---+ | +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ | x\|- 1 x\|- 1 +--R (- \|- 1 %e - \|- 1 )\|(%e ) - 6(%e ) + 1 +--R / +--R +---+ 2 +---+ +--R x\|- 1 x\|- 1 +--R 2(%e ) - 2%e +--R Type: Union(Expression Integer,...) +--E 303 + +--S 304 of 520 +m0056:= a0056-r0056 +--R +--R +--R (209) +--R +---+ 2 +---+ +--R x\|- 1 x\|- 1 +-------------+ +--R (2(%e ) - 2%e )\|- cos(2x) + 3 +--R * +--R INTSIGN +--R , +--R x +--R , +--R +---+ 2 +--R +---+ %R\|- 1 +---+ +--R (2\|- 1 (%e ) + 2\|- 1 ) +--R * +--R +----------------------------------+ +--R | +---+ 4 +---+ 2 +--R | %R\|- 1 %R\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R / +--R +---+ 6 +---+ 4 +---+ 2 +--R %R\|- 1 %R\|- 1 %R\|- 1 +--R (%e ) - 6(%e ) + (%e ) +--R * +--R d%R +--R + +--R +---+ +--R +---+ x\|- 1 +---+ +-------------+ +--R (- \|- 1 %e - \|- 1 )\|- cos(2x) + 3 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 2 +---+ +--R x\|- 1 x\|- 1 +-----------+ +--R (- 2x (%e ) + 2x %e )\|cos(2x) - 3 +--R / +--R +---+ 2 +---+ +--R x\|- 1 x\|- 1 +-------------+ +--R (2(%e ) - 2%e )\|- cos(2x) + 3 +--R Type: Expression Integer +--E 304 + +--S 305 of 520 +d0056:= D(m0056,x) +--R +--R +--R (210) +--R +---+ 4 +---+ 3 +--R x\|- 1 x\|- 1 +--R (- 2cos(2x) + 6)(%e ) + (4cos(2x) - 12)(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R (- 2cos(2x) + 6)(%e ) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 7 +---+ 6 +---+ 5 +--R x\|- 1 x\|- 1 x\|- 1 +--R (%e ) - 2(%e ) - (%e ) +--R + +--R +---+ 4 +---+ 3 +--R +---+ x\|- 1 +---+ x\|- 1 +--R (4\|- 1 + 12)(%e ) + (- 8\|- 1 - 1)(%e ) +--R + +--R +---+ 2 +---+ +--R +---+ x\|- 1 +---+ x\|- 1 +---+ +--R (8\|- 1 - 2)(%e ) + (- 8\|- 1 + 1)%e + 4\|- 1 +--R * +--R +-------------+ +-----------+ +--R \|- cos(2x) + 3 \|cos(2x) - 3 +--R / +--R +---+ 4 +---+ 3 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +-------------+ +--R (2(%e ) - 4(%e ) + 2(%e ) )\|- cos(2x) + 3 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R +-----------+ | x\|- 1 x\|- 1 +--R \|cos(2x) - 3 \|(%e ) - 6(%e ) + 1 +--R Type: Expression Integer +--E 305 + +--S 306 of 520 +t0057:= 1/(1+sin(x)^2)^(1/2) +--R +--R +--R 1 +--R (211) -------------- +--R +-----------+ +--R | 2 +--R \|sin(x) + 1 +--R Type: Expression Integer +--E 306 + +--S 307 of 520 +r0057:= atanh(x) +--R +--R +--R (212) atanh(x) +--R Type: Expression Integer +--E 307 + +--S 308 of 520 +a0057:= integrate(t0057,x) +--R +--R +--R x +--R ++ 1 +--R (213) | --------------- d%R +--R ++ +------------+ +--R | 2 +--R \|sin(%R) + 1 +--R Type: Union(Expression Integer,...) +--E 308 + +--S 309 of 520 +m0057:= a0057-r0057 +--R +--R +--R x +--R ++ 1 +--R (214) | --------------- d%R - atanh(x) +--R ++ +------------+ +--R | 2 +--R \|sin(%R) + 1 +--R Type: Expression Integer +--E 309 + +--S 310 of 520 +d0057:= D(m0057,x) +--R +--R +--R +-----------+ +--R | 2 2 +--R \|sin(x) + 1 + x - 1 +--R (215) ----------------------- +--R +-----------+ +--R 2 | 2 +--R (x - 1)\|sin(x) + 1 +--R Type: Expression Integer +--E 310 + +--S 311 of 520 +t0058:= 1/(-1-sin(x)^2)^(1/2) +--R +--R +--R 1 +--R (216) ---------------- +--R +-------------+ +--R | 2 +--R \|- sin(x) - 1 +--R Type: Expression Integer +--E 311 + +--S 312 of 520 +r0058:= (3-cos(2*x))^(1/2)*atanh(x)/(-3+cos(2*x))^(1/2) +--R +--R +--R +-------------+ +--R atanh(x)\|- cos(2x) + 3 +--R (217) ------------------------ +--R +-----------+ +--R \|cos(2x) - 3 +--R Type: Expression Integer +--E 312 + +--S 313 of 520 +a0058:= integrate(t0058,x) +--R +--R +--R +----------------------------------+ +--R | +---+ 4 +---+ 2 +--R x +---+ | %R\|- 1 %R\|- 1 +--R ++ 2\|- 1 \|(%e ) - 6(%e ) + 1 +--R (218) | ---------------------------------------------- d%R +--R ++ +---+ 6 +---+ 4 +---+ 2 +--R %R\|- 1 %R\|- 1 %R\|- 1 +--R (%e ) - 6(%e ) + (%e ) +--R Type: Union(Expression Integer,...) +--E 313 + +--S 314 of 520 +m0058:= a0058-r0058 +--R +--R +--R (219) +--R +----------------------------------+ +--R | +---+ 4 +---+ 2 +--R x +---+ | %R\|- 1 %R\|- 1 +--R +-----------+ ++ 2\|- 1 \|(%e ) - 6(%e ) + 1 +--R \|cos(2x) - 3 | ---------------------------------------------- d%R +--R ++ +---+ 6 +---+ 4 +---+ 2 +--R %R\|- 1 %R\|- 1 %R\|- 1 +--R (%e ) - 6(%e ) + (%e ) +--R + +--R +-------------+ +--R - atanh(x)\|- cos(2x) + 3 +--R / +--R +-----------+ +--R \|cos(2x) - 3 +--R Type: Expression Integer +--E 314 + +--S 315 of 520 +d0058:= D(m0058,x) +--R +--R +--R (220) +--R 2 +---+ +-------------+ +-----------+ +--R (2x - 2)\|- 1 \|- cos(2x) + 3 \|cos(2x) - 3 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 6 +---+ 4 +--R x\|- 1 x\|- 1 +--R (- cos(2x) + 3)(%e ) + (6cos(2x) - 18)(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R (- cos(2x) + 3)(%e ) +--R / +--R +---+ 6 +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 2 x\|- 1 +--R ((x - 1)(%e ) + (- 6x + 6)(%e ) + (x - 1)(%e ) ) +--R * +--R +-------------+ +-----------+ +--R \|- cos(2x) + 3 \|cos(2x) - 3 +--R Type: Expression Integer +--E 315 + +--S 316 of 520 +t0059:= x/(a+b*sin(x)^2) +--R +--R +--R x +--R (221) ------------- +--R 2 +--R b sin(x) + a +--R Type: Expression Integer +--E 316 + +--S 317 of 520 +r0059:= 1/4*(-2*%i*x*log((-2*a-b+2*a^(1/2)*(a+b)^(1/2)+b*exp(2*%i*x))/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))+2*%i*x*log((2*a+b+2*a^(1/2)*(a+b)^(1/2)-b*exp(2*%i*x))/(2*a+b+2*a^(1/2)*(a+b)^(1/2)))-polylog(2,-b*exp(2*%i*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))+polylog(2,b*exp(2*%i*x)/(2*a+b+2*a^(1/2)*(a+b)^(1/2))))/a^(1/2)/(a+b)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 317 + +--S 318 of 520 +a0059:= integrate(t0059,x) +--R +--R +--R x +--R ++ %R +--R (222) | -------------- d%R +--R ++ 2 +--R b sin(%R) + a +--R Type: Union(Expression Integer,...) +--E 318 + +--S 319 of 520 +--m0059:= a0059-r0059 +--E 319 + +--S 320 of 520 +--d0059:= D(m0059,x) +--E 320 + +--S 321 of 520 +t0060:= x^2/(a+b*sin(x)^2) +--R +--R +--R 2 +--R x +--R (223) ------------- +--R 2 +--R b sin(x) + a +--R Type: Expression Integer +--E 321 + +--S 322 of 520 +r0060:= -1/4*(2*%i*x^2*log((-2*a-b+2*a^(1/2)*(a+b)^(1/2)+b*exp(2*%i*x))/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))-2*%i*x^2*log((2*a+b+2*a^(1/2)*(a+b)^(1/2)-b*exp(2*%i*x))/(2*a+b+2*a^(1/2)*(a+b)^(1/2)))+2*x*polylog(2,-b*exp(2*%i*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))-2*x*polylog(2,b*exp(2*%i*x)/(2*a+b+2*a^(1/2)*(a+b)^(1/2)))+%i*polylog(3,-b*exp(2*%i*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))-%i*polylog(3,b*exp(2*%i*x)/(2*a+b+2*a^(1/2)*(a+b)^(1/2))))/a^(1/2)/(a+b)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 322 + +--S 323 of 520 +a0060:= integrate(t0060,x) +--R +--R +--R x 2 +--R ++ %R +--R (224) | -------------- d%R +--R ++ 2 +--R b sin(%R) + a +--R Type: Union(Expression Integer,...) +--E 323 + +--S 324 of 520 +--m0060:= a0060-r0060 +--E 324 + +--S 325 of 520 +--d0060:= D(m0060,x) +--E 325 + +--S 326 of 520 +t0061:= x^3/(a+b*sin(x)^2) +--R +--R +--R 3 +--R x +--R (225) ------------- +--R 2 +--R b sin(x) + a +--R Type: Expression Integer +--E 326 + +--S 327 of 520 +r0061:= -1/8*(4*%i*x^3*log((-2*a-b+2*a^(1/2)*(a+b)^(1/2)+b*exp(2*%i*x))/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))-4*%i*x^3*log((2*a+b+2*a^(1/2)*(a+b)^(1/2)-b*exp(2*%i*x))/(2*a+b+2*a^(1/2)*(a+b)^(1/2)))+6*x^2*polylog(2,-b*exp(2*%i*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))-6*x^2*polylog(2,b*exp(2*%i*x)/(2*a+b+2*a^(1/2)*(a+b)^(1/2)))+6*%i*x*polylog(3,-b*exp(2*%i*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))-6*%i*x*polylog(3,b*exp(2*%i*x)/(2*a+b+2*a^(1/2)*(a+b)^(1/2)))-3*polylog(4,-b*exp(2*%i*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))+3*polylog(4,b*exp(2*%i*x)/(2*a+b+2*a^(1/2)*(a+b)^(1/2))))/a^(1/2)/(a+b)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 327 + +--S 328 of 520 +a0061:= integrate(t0061,x) +--R +--R +--R x 3 +--R ++ %R +--R (226) | -------------- d%R +--R ++ 2 +--R b sin(%R) + a +--R Type: Union(Expression Integer,...) +--E 328 + +--S 329 of 520 +--m0061:= a0061-r0061 +--E 329 + +--S 330 of 520 +--d0061:= D(m0061,x) +--E 330 + +--S 331 of 520 +t0062:= x*(sin(x)^2)^(1/2) +--R +--R +--R +-------+ +--R | 2 +--R (227) x\|sin(x) +--R Type: Expression Integer +--E 331 + +--S 332 of 520 +r0062:= -csc(x)*(x*cos(x)-sin(x))*(sin(x)^2)^(1/2) +--R +--R +--R +-------+ +--R | 2 +--R (228) (csc(x)sin(x) - x cos(x)csc(x))\|sin(x) +--R Type: Expression Integer +--E 332 + +--S 333 of 520 +a0062:= integrate(t0062,x) +--R +--R +--R (229) sin(x) - x cos(x) +--R Type: Union(Expression Integer,...) +--E 333 + +--S 334 of 520 +m0062:= a0062-r0062 +--R +--R +--R +-------+ +--R | 2 +--R (230) (- csc(x)sin(x) + x cos(x)csc(x))\|sin(x) + sin(x) - x cos(x) +--R Type: Expression Integer +--E 334 + +--S 335 of 520 +d0062:= D(m0062,x) +--R +--R +--R (231) +--R +-------+ +--R | 2 3 +--R x sin(x)\|sin(x) + (cot(x) - x)csc(x)sin(x) +--R + +--R 2 2 +--R (- x cos(x)cot(x) - cos(x))csc(x)sin(x) + x cos(x) csc(x)sin(x) +--R / +--R +-------+ +--R | 2 +--R \|sin(x) +--R Type: Expression Integer +--E 335 + +--S 336 of 520 +t0063:= 1/(a+b*sin(x)^3) +--R +--R +--R 1 +--R (232) ------------- +--R 3 +--R b sin(x) + a +--R Type: Expression Integer +--E 336 + +--S 337 of 520 +r0063:= -2/3*atan(((-1)^(1/3)*b^(1/3)-a^(1/3)*tan(1/2*x))/(a^(2/3)-(-1)^(2/3)*b^(2/3))^(1/2))/a^(2/3)/(a^(2/3)-(-1)^(2/3)*b^(2/3))^(1/2)+2/3*atan((b^(1/3)+a^(1/3)*tan(1/2*x))/(a^(2/3)-b^(2/3))^(1/2))/a^(2/3)/(a^(2/3)-b^(2/3))^(1/2)+2/3*atan(((-1)^(2/3)*b^(1/3)+a^(1/3)*tan(1/2*x))/(a^(2/3)+(-1)^(1/3)*b^(2/3))^(1/2))/a^(2/3)/(a^(2/3)+(-1)^(1/3)*b^(2/3))^(1/2) +--R +--R +--R (233) +--R - +--R +---------------+ +-------------------+ +--R | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 2\|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 3+---+3+-+ x 3+-+ +--R \|- 1 \|b - tan(-)\|a +--R 2 +--R atan(-------------------------) +--R +----------------------+ +--R | 3+---+2 3+-+2 3+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R 3+-+ x 3+-+ +--R +----------------------+ +-------------------+ \|b + tan(-)\|a +--R | 3+---+2 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 2 +--R 2\|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a atan(------------------) +--R +---------------+ +--R | 3+-+2 3+-+2 +--R \|- \|b + \|a +--R + +--R 3+---+2 3+-+ x 3+-+ +--R +----------------------+ +---------------+ \|- 1 \|b + tan(-)\|a +--R | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 2 +--R 2\|- \|- 1 \|b + \|a \|- \|b + \|a atan(------------------------) +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R / +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 337 + +--S 338 of 520 +a0063:= integrate(t0063,x) +--R +--R +--R (234) +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 3 3 5 3 3 5 +--R ((243a b - 243a b)cos(x) + 243a b - 243a b)%%EI0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 3 5 3 3 5 2 +--R ((243a b - 243a b)cos(x) + 243a b - 243a b)%%EI0 +--R + +--R 3 3 +--R (- 81a b cos(x) - 81a b)%%EI0 +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 3 2 5 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R (18a b - 18a )cos(x) + 18a b - 18a +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 3 2 5 2 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((- 18a b - 36a )cos(x) - 18a b - 36a )%%EI0 + 4b sin(x) +--R + +--R - 2a cos(x) - 2a +--R / +--R cos(x) + 1 +--R + +--R - +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 3 3 5 3 3 5 +--R ((243a b - 243a b)cos(x) + 243a b - 243a b)%%EI0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 3 5 3 3 5 2 +--R ((- 243a b + 243a b)cos(x) - 243a b + 243a b)%%EI0 +--R + +--R 3 3 +--R (81a b cos(x) + 81a b)%%EI0 +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 3 2 5 +--R ((- 162a b + 162a )cos(x) - 162a b + 162a )%%EI0 +--R + +--R 2 3 2 3 +--R (- 18a b + 18a )cos(x) - 18a b + 18a +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 3 2 5 2 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((- 18a b - 36a )cos(x) - 18a b - 36a )%%EI0 + 4b sin(x) +--R + +--R - 2a cos(x) - 2a +--R / +--R cos(x) + 1 +--R + +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 3 3 5 3 3 5 +--R ((- 243a b + 243a b)cos(x) - 243a b + 243a b)%%EI0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 3 5 3 3 5 2 +--R ((243a b - 243a b)cos(x) + 243a b - 243a b)%%EI0 +--R + +--R 3 3 +--R (- 81a b cos(x) - 81a b)%%EI0 +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 3 2 5 +--R ((- 162a b + 162a )cos(x) - 162a b + 162a )%%EI0 +--R + +--R 2 3 2 3 +--R (- 18a b + 18a )cos(x) - 18a b + 18a +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 3 2 5 2 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((- 18a b - 36a )cos(x) - 18a b - 36a )%%EI0 + 4b sin(x) +--R + +--R - 2a cos(x) - 2a +--R / +--R cos(x) + 1 +--R + +--R - +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 3 3 5 3 3 5 +--R ((- 243a b + 243a b)cos(x) - 243a b + 243a b)%%EI0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 3 5 3 3 5 2 +--R ((- 243a b + 243a b)cos(x) - 243a b + 243a b)%%EI0 +--R + +--R 3 3 +--R (81a b cos(x) + 81a b)%%EI0 +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 3 2 5 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R (18a b - 18a )cos(x) + 18a b - 18a +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 3 2 5 2 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((- 18a b - 36a )cos(x) - 18a b - 36a )%%EI0 + 4b sin(x) +--R + +--R - 2a cos(x) - 2a +--R / +--R cos(x) + 1 +--R + +--R - +--R +------+ +--R \|4%%EI0 +--R * +--R log +--R 3 3 5 3 3 5 2 +--R ((243a b - 243a b)cos(x) + 243a b - 243a b)%%EI0 +--R + +--R 3 3 +--R (- 81a b cos(x) - 81a b)%%EI0 - 9a b cos(x) - 9a b +--R * +--R +------+ +--R \|4%%EI0 +--R + +--R 3 2 5 3 2 5 2 +--R ((- 162a b + 162a )cos(x) - 162a b + 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((18a b + 36a )cos(x) + 18a b + 36a )%%EI0 + 2b sin(x) +--R + +--R 2a cos(x) + 2a +--R / +--R cos(x) + 1 +--R + +--R +------+ +--R \|4%%EI0 +--R * +--R log +--R 3 3 5 3 3 5 2 +--R ((- 243a b + 243a b)cos(x) - 243a b + 243a b)%%EI0 +--R + +--R 3 3 +--R (81a b cos(x) + 81a b)%%EI0 + 9a b cos(x) + 9a b +--R * +--R +------+ +--R \|4%%EI0 +--R + +--R 3 2 5 3 2 5 2 +--R ((- 162a b + 162a )cos(x) - 162a b + 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((18a b + 36a )cos(x) + 18a b + 36a )%%EI0 + 2b sin(x) +--R + +--R 2a cos(x) + 2a +--R / +--R cos(x) + 1 +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 338 + +--S 339 of 520 +m0063:= a0063-r0063 +--R +--R +--R (235) +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 3 3 5 3 3 5 +--R ((243a b - 243a b)cos(x) + 243a b - 243a b)%%EI0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 3 5 3 3 5 2 +--R ((243a b - 243a b)cos(x) + 243a b - 243a b)%%EI0 +--R + +--R 3 3 +--R (- 81a b cos(x) - 81a b)%%EI0 +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 3 2 5 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R (18a b - 18a )cos(x) + 18a b - 18a +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 3 2 5 2 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((- 18a b - 36a )cos(x) - 18a b - 36a )%%EI0 + 4b sin(x) +--R + +--R - 2a cos(x) - 2a +--R / +--R cos(x) + 1 +--R + +--R - +--R +----------------------+ +---------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 3 3 5 3 3 5 +--R ((243a b - 243a b)cos(x) + 243a b - 243a b)%%EI0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 3 5 3 3 5 2 +--R ((- 243a b + 243a b)cos(x) - 243a b + 243a b)%%EI0 +--R + +--R 3 3 +--R (81a b cos(x) + 81a b)%%EI0 +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 3 2 5 +--R ((- 162a b + 162a )cos(x) - 162a b + 162a )%%EI0 +--R + +--R 2 3 2 3 +--R (- 18a b + 18a )cos(x) - 18a b + 18a +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 3 2 5 2 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((- 18a b - 36a )cos(x) - 18a b - 36a )%%EI0 + 4b sin(x) +--R + +--R - 2a cos(x) - 2a +--R / +--R cos(x) + 1 +--R + +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 3 3 5 3 3 5 +--R ((- 243a b + 243a b)cos(x) - 243a b + 243a b)%%EI0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 3 5 3 3 5 2 +--R ((243a b - 243a b)cos(x) + 243a b - 243a b)%%EI0 +--R + +--R 3 3 +--R (- 81a b cos(x) - 81a b)%%EI0 +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 3 2 5 +--R ((- 162a b + 162a )cos(x) - 162a b + 162a )%%EI0 +--R + +--R 2 3 2 3 +--R (- 18a b + 18a )cos(x) - 18a b + 18a +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 3 2 5 2 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((- 18a b - 36a )cos(x) - 18a b - 36a )%%EI0 + 4b sin(x) +--R + +--R - 2a cos(x) - 2a +--R / +--R cos(x) + 1 +--R + +--R - +--R +----------------------+ +---------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 3 3 5 3 3 5 +--R ((- 243a b + 243a b)cos(x) - 243a b + 243a b)%%EI0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 3 5 3 3 5 2 +--R ((- 243a b + 243a b)cos(x) - 243a b + 243a b)%%EI0 +--R + +--R 3 3 +--R (81a b cos(x) + 81a b)%%EI0 +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%EI0 + 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 3 2 5 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R (18a b - 18a )cos(x) + 18a b - 18a +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%EI0 +--R + +--R 2 2 4 2 2 +--R (18a b - 18a )%%EI0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 3 2 5 2 +--R ((162a b - 162a )cos(x) + 162a b - 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((- 18a b - 36a )cos(x) - 18a b - 36a )%%EI0 + 4b sin(x) +--R + +--R - 2a cos(x) - 2a +--R / +--R cos(x) + 1 +--R + +--R - +--R +----------------------+ +---------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +------+ +--R \|\|- 1 \|b + \|a \|4%%EI0 +--R * +--R log +--R 3 3 5 3 3 5 2 +--R ((243a b - 243a b)cos(x) + 243a b - 243a b)%%EI0 +--R + +--R 3 3 +--R (- 81a b cos(x) - 81a b)%%EI0 - 9a b cos(x) - 9a b +--R * +--R +------+ +--R \|4%%EI0 +--R + +--R 3 2 5 3 2 5 2 +--R ((- 162a b + 162a )cos(x) - 162a b + 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((18a b + 36a )cos(x) + 18a b + 36a )%%EI0 + 2b sin(x) +--R + +--R 2a cos(x) + 2a +--R / +--R cos(x) + 1 +--R + +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R +------+ +--R \|4%%EI0 +--R * +--R log +--R 3 3 5 3 3 5 2 +--R ((- 243a b + 243a b)cos(x) - 243a b + 243a b)%%EI0 +--R + +--R 3 3 +--R (81a b cos(x) + 81a b)%%EI0 + 9a b cos(x) + 9a b +--R * +--R +------+ +--R \|4%%EI0 +--R + +--R 3 2 5 3 2 5 2 +--R ((- 162a b + 162a )cos(x) - 162a b + 162a )%%EI0 +--R + +--R 2 3 2 3 +--R ((18a b + 36a )cos(x) + 18a b + 36a )%%EI0 + 2b sin(x) +--R + +--R 2a cos(x) + 2a +--R / +--R cos(x) + 1 +--R + +--R 3+---+3+-+ x 3+-+ +--R +---------------+ +-------------------+ \|- 1 \|b - tan(-)\|a +--R | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 2 +--R 4\|- \|b + \|a \|\|- 1 \|b + \|a atan(-------------------------) +--R +----------------------+ +--R | 3+---+2 3+-+2 3+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R - +--R +----------------------+ +-------------------+ +--R | 3+---+2 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 4\|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 3+-+ x 3+-+ +--R \|b + tan(-)\|a +--R 2 +--R atan(------------------) +--R +---------------+ +--R | 3+-+2 3+-+2 +--R \|- \|b + \|a +--R + +--R - +--R +----------------------+ +---------------+ +--R | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 4\|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R 3+---+2 3+-+ x 3+-+ +--R \|- 1 \|b + tan(-)\|a +--R 2 +--R atan(------------------------) +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R / +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 6\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 339 + +--S 340 of 520 +d0063:= D(m0063,x) +--R +--R +--R (236) +--R 3 3+---+2 3 3+---+ 3 6 +--R (3a \|- 1 - 3a \|- 1 + 3a )sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (9a \|- 1 - 9a \|- 1 + 9a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (12a \|- 1 - 12a \|- 1 + 12a )cos(x) + 3a \|- 1 +--R + +--R 3 3+---+ 3 +--R - 3a \|- 1 + 3a +--R * +--R 4 +--R sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (- 24a b \|- 1 + 24a b\|- 1 - 24a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 3+---+2 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) - 24a b \|- 1 +--R + +--R 2 3+---+ 2 +--R 24a b\|- 1 - 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (9a \|- 1 - 9a \|- 1 + 9a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (24a \|- 1 - 24a \|- 1 + 24a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 3 3+---+2 +--R (18a \|- 1 - 18a \|- 1 + 18a )cos(x) - 3a \|- 1 +--R + +--R 3 3+---+ 3 +--R 3a \|- 1 - 3a +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (3a \|- 1 - 3a \|- 1 + 3a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 5 +--R (12a \|- 1 - 12a \|- 1 + 12a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (15a \|- 1 - 15a \|- 1 + 15a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 15a \|- 1 + 15a \|- 1 - 15a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (- 12a \|- 1 + 12a \|- 1 - 12a )cos(x) - 3a \|- 1 +--R + +--R 3 3+---+ 3 +--R 3a \|- 1 - 3a +--R * +--R x 6 +--R tan(-) +--R 2 +--R + +--R 2 3+---+2 2 3+---+ 2 6 +--R (- 24a b \|- 1 + 24a b\|- 1 - 24a b)sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (- 108a b \|- 1 + 108a b\|- 1 - 108a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R - 36a b \|- 1 + 36a b\|- 1 - 36a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (96a b \|- 1 - 96a b \|- 1 + 96a b )cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (288a b \|- 1 - 288a b \|- 1 + 288a b )cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (288a b \|- 1 - 288a b \|- 1 + 288a b )cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R 96a b \|- 1 - 96a b \|- 1 + 96a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 4 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (- 216a b \|- 1 + 216a b\|- 1 - 216a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (- 216a b \|- 1 + 216a b\|- 1 - 216a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 6 +--R (- 24a b \|- 1 + 24a b\|- 1 - 24a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 5 +--R (- 108a b \|- 1 + 108a b\|- 1 - 108a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 4 +--R (- 180a b \|- 1 + 180a b\|- 1 - 180a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (- 120a b \|- 1 + 120a b\|- 1 - 120a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 3+---+2 +--R (36a b \|- 1 - 36a b\|- 1 + 36a b)cos(x) + 12a b \|- 1 +--R + +--R 2 3+---+ 2 +--R - 12a b\|- 1 + 12a b +--R * +--R x 5 +--R tan(-) +--R 2 +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (20a b - 11a )\|- 1 + (- 20a b + 11a )\|- 1 + 20a b +--R + +--R 3 +--R - 11a +--R * +--R 6 +--R sin(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (60a b - 33a )\|- 1 + (- 60a b + 33a )\|- 1 + 60a b +--R + +--R 3 +--R - 33a +--R * +--R 2 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (96a b - 60a )\|- 1 + (- 96a b + 60a )\|- 1 + 96a b +--R + +--R 3 +--R - 60a +--R * +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (36a b - 27a )\|- 1 + (- 36a b + 27a )\|- 1 + 36a b +--R + +--R 3 +--R - 27a +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (- 32b - 40a b)\|- 1 + (32b + 40a b)\|- 1 - 32b +--R + +--R 2 +--R - 40a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (- 96b - 120a b)\|- 1 + (96b + 120a b)\|- 1 - 96b +--R + +--R 2 +--R - 120a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (- 96b - 120a b)\|- 1 + (96b + 120a b)\|- 1 - 96b +--R + +--R 2 +--R - 120a b +--R * +--R cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R (- 32b - 40a b)\|- 1 + (32b + 40a b)\|- 1 - 32b - 40a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (60a b - 33a )\|- 1 + (- 60a b + 33a )\|- 1 + 60a b +--R + +--R 3 +--R - 33a +--R * +--R 4 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ +--R (192a b - 120a )\|- 1 + (- 192a b + 120a )\|- 1 +--R + +--R 2 3 +--R 192a b - 120a +--R * +--R 3 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ +--R (216a b - 162a )\|- 1 + (- 216a b + 162a )\|- 1 +--R + +--R 2 3 +--R 216a b - 162a +--R * +--R 2 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (96a b - 96a )\|- 1 + (- 96a b + 96a )\|- 1 + 96a b +--R + +--R 3 +--R - 96a +--R * +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (12a b - 21a )\|- 1 + (- 12a b + 21a )\|- 1 + 12a b +--R + +--R 3 +--R - 21a +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (20a b - 11a )\|- 1 + (- 20a b + 11a )\|- 1 + 20a b +--R + +--R 3 +--R - 11a +--R * +--R 6 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (96a b - 60a )\|- 1 + (- 96a b + 60a )\|- 1 + 96a b +--R + +--R 3 +--R - 60a +--R * +--R 5 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ +--R (180a b - 135a )\|- 1 + (- 180a b + 135a )\|- 1 +--R + +--R 2 3 +--R 180a b - 135a +--R * +--R 4 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ +--R (160a b - 160a )\|- 1 + (- 160a b + 160a )\|- 1 +--R + +--R 2 3 +--R 160a b - 160a +--R * +--R 3 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (60a b - 105a )\|- 1 + (- 60a b + 105a )\|- 1 + 60a b +--R + +--R 3 +--R - 105a +--R * +--R 2 +--R cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (- 36a \|- 1 + 36a \|- 1 - 36a )cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 3 +--R (- 4a b - 5a )\|- 1 + (4a b + 5a )\|- 1 - 4a b - 5a +--R * +--R x 4 +--R tan(-) +--R 2 +--R + +--R 2 3+---+2 2 3+---+ 2 2 3+---+2 +--R (24a b \|- 1 - 24a b\|- 1 + 24a b)cos(x) + 24a b \|- 1 +--R + +--R 2 3+---+ 2 +--R - 24a b\|- 1 + 24a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (192a b \|- 1 - 192a b \|- 1 + 192a b )cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (576a b \|- 1 - 576a b \|- 1 + 576a b )cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (576a b \|- 1 - 576a b \|- 1 + 576a b )cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R 192a b \|- 1 - 192a b \|- 1 + 192a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (48a b \|- 1 - 48a b\|- 1 + 48a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (144a b \|- 1 - 144a b\|- 1 + 144a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (144a b \|- 1 - 144a b\|- 1 + 144a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R 48a b \|- 1 - 48a b\|- 1 + 48a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 5 +--R (24a b \|- 1 - 24a b\|- 1 + 24a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 4 +--R (120a b \|- 1 - 120a b\|- 1 + 120a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (240a b \|- 1 - 240a b\|- 1 + 240a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (240a b \|- 1 - 240a b\|- 1 + 240a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 3+---+2 +--R (120a b \|- 1 - 120a b\|- 1 + 120a b)cos(x) + 24a b \|- 1 +--R + +--R 2 3+---+ 2 +--R - 24a b\|- 1 + 24a b +--R * +--R x 3 +--R tan(-) +--R 2 +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (20a b - 11a )\|- 1 + (- 20a b + 11a )\|- 1 + 20a b +--R + +--R 3 +--R - 11a +--R * +--R 6 +--R sin(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (60a b - 33a )\|- 1 + (- 60a b + 33a )\|- 1 + 60a b +--R + +--R 3 +--R - 33a +--R * +--R 2 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (96a b - 60a )\|- 1 + (- 96a b + 60a )\|- 1 + 96a b +--R + +--R 3 +--R - 60a +--R * +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (36a b - 27a )\|- 1 + (- 36a b + 27a )\|- 1 + 36a b +--R + +--R 3 +--R - 27a +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (- 32b - 40a b)\|- 1 + (32b + 40a b)\|- 1 - 32b +--R + +--R 2 +--R - 40a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (- 96b - 120a b)\|- 1 + (96b + 120a b)\|- 1 - 96b +--R + +--R 2 +--R - 120a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 +--R (- 96b - 120a b)\|- 1 + (96b + 120a b)\|- 1 - 96b +--R + +--R 2 +--R - 120a b +--R * +--R cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R (- 32b - 40a b)\|- 1 + (32b + 40a b)\|- 1 - 32b - 40a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (60a b - 33a )\|- 1 + (- 60a b + 33a )\|- 1 + 60a b +--R + +--R 3 +--R - 33a +--R * +--R 4 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ +--R (192a b - 120a )\|- 1 + (- 192a b + 120a )\|- 1 +--R + +--R 2 3 +--R 192a b - 120a +--R * +--R 3 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ +--R (216a b - 162a )\|- 1 + (- 216a b + 162a )\|- 1 +--R + +--R 2 3 +--R 216a b - 162a +--R * +--R 2 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (96a b - 96a )\|- 1 + (- 96a b + 96a )\|- 1 + 96a b +--R + +--R 3 +--R - 96a +--R * +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (12a b - 21a )\|- 1 + (- 12a b + 21a )\|- 1 + 12a b +--R + +--R 3 +--R - 21a +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (20a b - 11a )\|- 1 + (- 20a b + 11a )\|- 1 + 20a b +--R + +--R 3 +--R - 11a +--R * +--R 6 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (96a b - 60a )\|- 1 + (- 96a b + 60a )\|- 1 + 96a b +--R + +--R 3 +--R - 60a +--R * +--R 5 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ +--R (180a b - 135a )\|- 1 + (- 180a b + 135a )\|- 1 +--R + +--R 2 3 +--R 180a b - 135a +--R * +--R 4 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ +--R (160a b - 160a )\|- 1 + (- 160a b + 160a )\|- 1 +--R + +--R 2 3 +--R 160a b - 160a +--R * +--R 3 +--R cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 +--R (60a b - 105a )\|- 1 + (- 60a b + 105a )\|- 1 + 60a b +--R + +--R 3 +--R - 105a +--R * +--R 2 +--R cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (- 36a \|- 1 + 36a \|- 1 - 36a )cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 3 +--R (- 4a b - 5a )\|- 1 + (4a b + 5a )\|- 1 - 4a b - 5a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 3+---+2 2 3+---+ 2 6 +--R (- 24a b \|- 1 + 24a b\|- 1 - 24a b)sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (- 108a b \|- 1 + 108a b\|- 1 - 108a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R - 36a b \|- 1 + 36a b\|- 1 - 36a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (96a b \|- 1 - 96a b \|- 1 + 96a b )cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (288a b \|- 1 - 288a b \|- 1 + 288a b )cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (288a b \|- 1 - 288a b \|- 1 + 288a b )cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R 96a b \|- 1 - 96a b \|- 1 + 96a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 4 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (- 216a b \|- 1 + 216a b\|- 1 - 216a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (- 216a b \|- 1 + 216a b\|- 1 - 216a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 6 +--R (- 24a b \|- 1 + 24a b\|- 1 - 24a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 5 +--R (- 108a b \|- 1 + 108a b\|- 1 - 108a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 4 +--R (- 180a b \|- 1 + 180a b\|- 1 - 180a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (- 120a b \|- 1 + 120a b\|- 1 - 120a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 3+---+2 +--R (36a b \|- 1 - 36a b\|- 1 + 36a b)cos(x) + 12a b \|- 1 +--R + +--R 2 3+---+ 2 +--R - 12a b\|- 1 + 12a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (3a \|- 1 - 3a \|- 1 + 3a )sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (9a \|- 1 - 9a \|- 1 + 9a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 3 3+---+ +--R (12a \|- 1 - 12a \|- 1 + 12a )cos(x) + 3a \|- 1 - 3a \|- 1 +--R + +--R 3 +--R 3a +--R * +--R 4 +--R sin(x) +--R + +--R 2 3+---+2 2 3+---+ 2 3 +--R (- 24a b \|- 1 + 24a b\|- 1 - 24a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) +--R + +--R 2 3+---+2 2 3+---+ 2 2 3+---+2 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) - 24a b \|- 1 +--R + +--R 2 3+---+ 2 +--R 24a b\|- 1 - 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (9a \|- 1 - 9a \|- 1 + 9a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (24a \|- 1 - 24a \|- 1 + 24a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 3 3+---+2 3 3+---+ +--R (18a \|- 1 - 18a \|- 1 + 18a )cos(x) - 3a \|- 1 + 3a \|- 1 +--R + +--R 3 +--R - 3a +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (3a \|- 1 - 3a \|- 1 + 3a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 5 +--R (12a \|- 1 - 12a \|- 1 + 12a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (15a \|- 1 - 15a \|- 1 + 15a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 15a \|- 1 + 15a \|- 1 - 15a )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 3 3+---+ +--R (- 12a \|- 1 + 12a \|- 1 - 12a )cos(x) - 3a \|- 1 + 3a \|- 1 +--R + +--R 3 +--R - 3a +--R * +--R 3+-+2 3+-+2 +--R \|a \|b +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (- 3a b \|- 1 + 3a b\|- 1 - 3a b)sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 9a b \|- 1 + 9a b\|- 1 - 9a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (- 12a b \|- 1 + 12a b\|- 1 - 12a b)cos(x) - 3a b \|- 1 +--R + +--R 3 3+---+ 3 +--R 3a b\|- 1 - 3a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (24a b \|- 1 - 24a b \|- 1 + 24a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 +--R (72a b \|- 1 - 72a b \|- 1 + 72a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 2 3+---+2 +--R (72a b \|- 1 - 72a b \|- 1 + 72a b )cos(x) + 24a b \|- 1 +--R + +--R 2 2 3+---+ 2 2 +--R - 24a b \|- 1 + 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (- 9a b \|- 1 + 9a b\|- 1 - 9a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (- 24a b \|- 1 + 24a b\|- 1 - 24a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 3 3+---+2 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cos(x) + 3a b \|- 1 +--R + +--R 3 3+---+ 3 +--R - 3a b\|- 1 + 3a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (- 3a b \|- 1 + 3a b\|- 1 - 3a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 5 +--R (- 12a b \|- 1 + 12a b\|- 1 - 12a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (- 15a b \|- 1 + 15a b\|- 1 - 15a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (15a b \|- 1 - 15a b\|- 1 + 15a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (12a b \|- 1 - 12a b\|- 1 + 12a b)cos(x) + 3a b \|- 1 +--R + +--R 3 3+---+ 3 +--R - 3a b\|- 1 + 3a b +--R * +--R x 6 +--R tan(-) +--R 2 +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R ((8a b - 8a )\|- 1 + (- 8a b + 8a )\|- 1 + 8a b - 8a ) +--R * +--R 6 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (24a b - 24a )\|- 1 + (- 24a b + 24a )\|- 1 + 24a b +--R + +--R 4 +--R - 24a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (36a b - 36a )\|- 1 + (- 36a b + 36a )\|- 1 + 36a b +--R + +--R 4 +--R - 36a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (12a b - 12a )\|- 1 + (- 12a b + 12a )\|- 1 + 12a b +--R + +--R 4 +--R - 12a +--R * +--R 4 +--R sin(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (- 32a b + 32a b)\|- 1 + (32a b - 32a b)\|- 1 +--R + +--R 3 3 +--R - 32a b + 32a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (- 96a b + 96a b)\|- 1 + (96a b - 96a b)\|- 1 +--R + +--R 3 3 +--R - 96a b + 96a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (- 96a b + 96a b)\|- 1 + (96a b - 96a b)\|- 1 +--R + +--R 3 3 +--R - 96a b + 96a b +--R * +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ 3 +--R (- 32a b + 32a b)\|- 1 + (32a b - 32a b)\|- 1 - 32a b +--R + +--R 3 +--R 32a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (24a b - 24a )\|- 1 + (- 24a b + 24a )\|- 1 + 24a b +--R + +--R 4 +--R - 24a +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (72a b - 72a )\|- 1 + (- 72a b + 72a )\|- 1 + 72a b +--R + +--R 4 +--R - 72a +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (72a b - 72a )\|- 1 + (- 72a b + 72a )\|- 1 + 72a b +--R + +--R 4 +--R - 72a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (24a b - 24a )\|- 1 + (- 24a b + 24a )\|- 1 + 24a b +--R + +--R 4 +--R - 24a +--R * +--R cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R ((8a b - 8a )\|- 1 + (- 8a b + 8a )\|- 1 + 8a b - 8a ) +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (36a b - 36a )\|- 1 + (- 36a b + 36a )\|- 1 + 36a b +--R + +--R 4 +--R - 36a +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (60a b - 60a )\|- 1 + (- 60a b + 60a )\|- 1 + 60a b +--R + +--R 4 +--R - 60a +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (40a b - 40a )\|- 1 + (- 40a b + 40a )\|- 1 + 40a b +--R + +--R 4 +--R - 40a +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (- 12a b + 12a )\|- 1 + (12a b - 12a )\|- 1 - 12a b +--R + +--R 4 +--R 12a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R (- 4a b + 4a )\|- 1 + (4a b - 4a )\|- 1 - 4a b + 4a +--R * +--R x 5 +--R tan(-) +--R 2 +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (51a b \|- 1 - 51a b\|- 1 + 51a b)sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (153a b \|- 1 - 153a b\|- 1 + 153a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (252a b \|- 1 - 252a b\|- 1 + 252a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R 99a b \|- 1 - 99a b\|- 1 + 99a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (- 24a b \|- 1 + 24a b \|- 1 - 24a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 +--R (- 72a b \|- 1 + 72a b \|- 1 - 72a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 72a b \|- 1 + 72a b \|- 1 - 72a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R - 24a b \|- 1 + 24a b \|- 1 - 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (153a b \|- 1 - 153a b\|- 1 + 153a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (504a b \|- 1 - 504a b\|- 1 + 504a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (594a b \|- 1 - 594a b\|- 1 + 594a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (288a b \|- 1 - 288a b\|- 1 + 288a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R 45a b \|- 1 - 45a b\|- 1 + 45a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (51a b \|- 1 - 51a b\|- 1 + 51a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 5 +--R (252a b \|- 1 - 252a b\|- 1 + 252a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (495a b \|- 1 - 495a b\|- 1 + 495a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (480a b \|- 1 - 480a b\|- 1 + 480a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (225a b \|- 1 - 225a b\|- 1 + 225a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (36a b \|- 1 - 36a b\|- 1 + 36a b)cos(x) - 3a b \|- 1 +--R + +--R 3 3+---+ 3 +--R 3a b\|- 1 - 3a b +--R * +--R x 4 +--R tan(-) +--R 2 +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (- 32a b - 16a )\|- 1 + (32a b + 16a )\|- 1 - 32a b +--R + +--R 4 +--R - 16a +--R * +--R 6 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (- 96a b - 48a )\|- 1 + (96a b + 48a )\|- 1 - 96a b +--R + +--R 4 +--R - 48a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ +--R (- 168a b - 72a )\|- 1 + (168a b + 72a )\|- 1 +--R + +--R 2 2 4 +--R - 168a b - 72a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (- 72a b - 24a )\|- 1 + (72a b + 24a )\|- 1 - 72a b +--R + +--R 4 +--R - 24a +--R * +--R 4 +--R sin(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (- 64a b + 64a b)\|- 1 + (64a b - 64a b)\|- 1 +--R + +--R 3 3 +--R - 64a b + 64a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (- 192a b + 192a b)\|- 1 + (192a b - 192a b)\|- 1 +--R + +--R 3 3 +--R - 192a b + 192a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (- 192a b + 192a b)\|- 1 + (192a b - 192a b)\|- 1 +--R + +--R 3 3 +--R - 192a b + 192a b +--R * +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ 3 +--R (- 64a b + 64a b)\|- 1 + (64a b - 64a b)\|- 1 - 64a b +--R + +--R 3 +--R 64a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (- 96a b - 48a )\|- 1 + (96a b + 48a )\|- 1 - 96a b +--R + +--R 4 +--R - 48a +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ +--R (- 336a b - 144a )\|- 1 + (336a b + 144a )\|- 1 +--R + +--R 2 2 4 +--R - 336a b - 144a +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ +--R (- 432a b - 144a )\|- 1 + (432a b + 144a )\|- 1 +--R + +--R 2 2 4 +--R - 432a b - 144a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ +--R (- 240a b - 48a )\|- 1 + (240a b + 48a )\|- 1 +--R + +--R 2 2 4 +--R - 240a b - 48a +--R * +--R cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R - 48a b \|- 1 + 48a b \|- 1 - 48a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (- 32a b - 16a )\|- 1 + (32a b + 16a )\|- 1 - 32a b +--R + +--R 4 +--R - 16a +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (- 168a b - 72a )\|- 1 + (168a b + 72a )\|- 1 - 168a b +--R + +--R 4 +--R - 72a +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ +--R (- 360a b - 120a )\|- 1 + (360a b + 120a )\|- 1 +--R + +--R 2 2 4 +--R - 360a b - 120a +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (- 400a b - 80a )\|- 1 + (400a b + 80a )\|- 1 - 400a b +--R + +--R 4 +--R - 80a +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 +--R (- 240a b \|- 1 + 240a b \|- 1 - 240a b )cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (- 72a b + 24a )\|- 1 + (72a b - 24a )\|- 1 - 72a b +--R + +--R 4 +--R 24a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R (- 8a b + 8a )\|- 1 + (8a b - 8a )\|- 1 - 8a b + 8a +--R * +--R x 3 +--R tan(-) +--R 2 +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (51a b \|- 1 - 51a b\|- 1 + 51a b)sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (153a b \|- 1 - 153a b\|- 1 + 153a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (252a b \|- 1 - 252a b\|- 1 + 252a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R 99a b \|- 1 - 99a b\|- 1 + 99a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (- 24a b \|- 1 + 24a b \|- 1 - 24a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 +--R (- 72a b \|- 1 + 72a b \|- 1 - 72a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 72a b \|- 1 + 72a b \|- 1 - 72a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R - 24a b \|- 1 + 24a b \|- 1 - 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (153a b \|- 1 - 153a b\|- 1 + 153a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (504a b \|- 1 - 504a b\|- 1 + 504a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (594a b \|- 1 - 594a b\|- 1 + 594a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (288a b \|- 1 - 288a b\|- 1 + 288a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R 45a b \|- 1 - 45a b\|- 1 + 45a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (51a b \|- 1 - 51a b\|- 1 + 51a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 5 +--R (252a b \|- 1 - 252a b\|- 1 + 252a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (495a b \|- 1 - 495a b\|- 1 + 495a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (480a b \|- 1 - 480a b\|- 1 + 480a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (225a b \|- 1 - 225a b\|- 1 + 225a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (36a b \|- 1 - 36a b\|- 1 + 36a b)cos(x) - 3a b \|- 1 +--R + +--R 3 3+---+ 3 +--R 3a b\|- 1 - 3a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R ((8a b - 8a )\|- 1 + (- 8a b + 8a )\|- 1 + 8a b - 8a ) +--R * +--R 6 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (24a b - 24a )\|- 1 + (- 24a b + 24a )\|- 1 + 24a b +--R + +--R 4 +--R - 24a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (36a b - 36a )\|- 1 + (- 36a b + 36a )\|- 1 + 36a b +--R + +--R 4 +--R - 36a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (12a b - 12a )\|- 1 + (- 12a b + 12a )\|- 1 + 12a b +--R + +--R 4 +--R - 12a +--R * +--R 4 +--R sin(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (- 32a b + 32a b)\|- 1 + (32a b - 32a b)\|- 1 +--R + +--R 3 3 +--R - 32a b + 32a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (- 96a b + 96a b)\|- 1 + (96a b - 96a b)\|- 1 +--R + +--R 3 3 +--R - 96a b + 96a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (- 96a b + 96a b)\|- 1 + (96a b - 96a b)\|- 1 +--R + +--R 3 3 +--R - 96a b + 96a b +--R * +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ 3 +--R (- 32a b + 32a b)\|- 1 + (32a b - 32a b)\|- 1 - 32a b +--R + +--R 3 +--R 32a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (24a b - 24a )\|- 1 + (- 24a b + 24a )\|- 1 + 24a b +--R + +--R 4 +--R - 24a +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (72a b - 72a )\|- 1 + (- 72a b + 72a )\|- 1 + 72a b +--R + +--R 4 +--R - 72a +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (72a b - 72a )\|- 1 + (- 72a b + 72a )\|- 1 + 72a b +--R + +--R 4 +--R - 72a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (24a b - 24a )\|- 1 + (- 24a b + 24a )\|- 1 + 24a b +--R + +--R 4 +--R - 24a +--R * +--R cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R ((8a b - 8a )\|- 1 + (- 8a b + 8a )\|- 1 + 8a b - 8a ) +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (36a b - 36a )\|- 1 + (- 36a b + 36a )\|- 1 + 36a b +--R + +--R 4 +--R - 36a +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (60a b - 60a )\|- 1 + (- 60a b + 60a )\|- 1 + 60a b +--R + +--R 4 +--R - 60a +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (40a b - 40a )\|- 1 + (- 40a b + 40a )\|- 1 + 40a b +--R + +--R 4 +--R - 40a +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (- 12a b + 12a )\|- 1 + (12a b - 12a )\|- 1 - 12a b +--R + +--R 4 +--R 12a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R (- 4a b + 4a )\|- 1 + (4a b - 4a )\|- 1 - 4a b + 4a +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (- 3a b \|- 1 + 3a b\|- 1 - 3a b)sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 9a b \|- 1 + 9a b\|- 1 - 9a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (- 12a b \|- 1 + 12a b\|- 1 - 12a b)cos(x) - 3a b \|- 1 +--R + +--R 3 3+---+ 3 +--R 3a b\|- 1 - 3a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (24a b \|- 1 - 24a b \|- 1 + 24a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 +--R (72a b \|- 1 - 72a b \|- 1 + 72a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 2 3+---+2 +--R (72a b \|- 1 - 72a b \|- 1 + 72a b )cos(x) + 24a b \|- 1 +--R + +--R 2 2 3+---+ 2 2 +--R - 24a b \|- 1 + 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (- 9a b \|- 1 + 9a b\|- 1 - 9a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (- 24a b \|- 1 + 24a b\|- 1 - 24a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 3 3+---+2 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cos(x) + 3a b \|- 1 +--R + +--R 3 3+---+ 3 +--R - 3a b\|- 1 + 3a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (- 3a b \|- 1 + 3a b\|- 1 - 3a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 5 +--R (- 12a b \|- 1 + 12a b\|- 1 - 12a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (- 15a b \|- 1 + 15a b\|- 1 - 15a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (15a b \|- 1 - 15a b\|- 1 + 15a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (12a b \|- 1 - 12a b\|- 1 + 12a b)cos(x) + 3a b \|- 1 +--R + +--R 3 3+---+ 3 +--R - 3a b\|- 1 + 3a b +--R * +--R 3+-+ +--R \|b +--R + +--R 2 2 4 6 +--R (3a b - 3a )sin(x) +--R + +--R 2 2 4 2 2 2 4 2 2 4 +--R ((9a b - 9a )cos(x) + (12a b - 12a )cos(x) + 3a b - 3a ) +--R * +--R 4 +--R sin(x) +--R + +--R 3 3 3 3 3 2 +--R (- 24a b + 24a b)cos(x) + (- 72a b + 72a b)cos(x) +--R + +--R 3 3 3 3 +--R (- 72a b + 72a b)cos(x) - 24a b + 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 4 4 2 2 4 3 +--R (9a b - 9a )cos(x) + (24a b - 24a )cos(x) +--R + +--R 2 2 4 2 2 2 4 +--R (18a b - 18a )cos(x) - 3a b + 3a +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 4 6 2 2 4 5 +--R (3a b - 3a )cos(x) + (12a b - 12a )cos(x) +--R + +--R 2 2 4 4 2 2 4 2 +--R (15a b - 15a )cos(x) + (- 15a b + 15a )cos(x) +--R + +--R 2 2 4 2 2 4 +--R (- 12a b + 12a )cos(x) - 3a b + 3a +--R * +--R x 6 +--R tan(-) +--R 2 +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (24a b \|- 1 - 24a b\|- 1 + 24a b)sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (72a b \|- 1 - 72a b\|- 1 + 72a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (108a b \|- 1 - 108a b\|- 1 + 108a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R 36a b \|- 1 - 36a b\|- 1 + 36a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (- 96a b \|- 1 + 96a b \|- 1 - 96a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 +--R (- 288a b \|- 1 + 288a b \|- 1 - 288a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 288a b \|- 1 + 288a b \|- 1 - 288a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R - 96a b \|- 1 + 96a b \|- 1 - 96a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (72a b \|- 1 - 72a b\|- 1 + 72a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (216a b \|- 1 - 216a b\|- 1 + 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (216a b \|- 1 - 216a b\|- 1 + 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (72a b \|- 1 - 72a b\|- 1 + 72a b)cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (24a b \|- 1 - 24a b\|- 1 + 24a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 5 +--R (108a b \|- 1 - 108a b\|- 1 + 108a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (180a b \|- 1 - 180a b\|- 1 + 180a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (120a b \|- 1 - 120a b\|- 1 + 120a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (- 36a b \|- 1 + 36a b\|- 1 - 36a b)cos(x) - 12a b \|- 1 +--R + +--R 3 3+---+ 3 +--R 12a b\|- 1 - 12a b +--R * +--R x 5 +--R tan(-) +--R 2 +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 6 +--R (- 60a b \|- 1 + 60a b \|- 1 - 51a b - 9a )sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 2 +--R (- 180a b \|- 1 + 180a b \|- 1 - 153a b - 27a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 +--R (- 288a b \|- 1 + 288a b \|- 1 - 252a b - 36a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 +--R - 108a b \|- 1 + 108a b \|- 1 - 99a b - 9a +--R * +--R 4 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3 +--R (96a b \|- 1 - 96a b \|- 1 + 24a b + 72a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 2 +--R (288a b \|- 1 - 288a b \|- 1 + 72a b + 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (288a b \|- 1 - 288a b \|- 1 + 72a b + 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R 96a b \|- 1 - 96a b \|- 1 + 24a b + 72a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 4 +--R (- 180a b \|- 1 + 180a b \|- 1 - 153a b - 27a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 3 +--R (- 576a b \|- 1 + 576a b \|- 1 - 504a b - 72a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 2 +--R (- 648a b \|- 1 + 648a b \|- 1 - 594a b - 54a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 288a b \|- 1 + 288a b \|- 1 - 288a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 +--R - 36a b \|- 1 + 36a b \|- 1 - 45a b + 9a +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 6 +--R (- 60a b \|- 1 + 60a b \|- 1 - 51a b - 9a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 5 +--R (- 288a b \|- 1 + 288a b \|- 1 - 252a b - 36a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 4 +--R (- 540a b \|- 1 + 540a b \|- 1 - 495a b - 45a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (- 480a b \|- 1 + 480a b \|- 1 - 480a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 2 +--R (- 180a b \|- 1 + 180a b \|- 1 - 225a b + 45a )cos(x) +--R + +--R 2 2 4 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 36a b + 36a )cos(x) + 12a b \|- 1 - 12a b \|- 1 + 3a b +--R + +--R 4 +--R 9a +--R * +--R x 4 +--R tan(-) +--R 2 +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (48a b \|- 1 - 48a b\|- 1 + 48a b )sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (144a b \|- 1 - 144a b\|- 1 + 144a b )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (216a b \|- 1 - 216a b\|- 1 + 240a b - 24a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R 72a b \|- 1 - 72a b\|- 1 + 96a b - 24a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (- 192a b \|- 1 + 192a b \|- 1 - 192a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 +--R (- 576a b \|- 1 + 576a b \|- 1 - 576a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 576a b \|- 1 + 576a b \|- 1 - 576a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R - 192a b \|- 1 + 192a b \|- 1 - 192a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (144a b \|- 1 - 144a b\|- 1 + 144a b )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3 +--R (432a b \|- 1 - 432a b\|- 1 + 480a b - 48a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 2 +--R (432a b \|- 1 - 432a b\|- 1 + 576a b - 144a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (144a b \|- 1 - 144a b\|- 1 + 288a b - 144a b)cos(x) +--R + +--R 3 3 +--R 48a b - 48a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (48a b \|- 1 - 48a b\|- 1 + 48a b )cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 5 +--R (216a b \|- 1 - 216a b\|- 1 + 240a b - 24a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 4 +--R (360a b \|- 1 - 360a b\|- 1 + 480a b - 120a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3 +--R (240a b \|- 1 - 240a b\|- 1 + 480a b - 240a b)cos(x) +--R + +--R 3 3 2 +--R (240a b - 240a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (- 72a b \|- 1 + 72a b\|- 1 + 48a b - 120a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R - 24a b \|- 1 + 24a b\|- 1 - 24a b +--R * +--R x 3 +--R tan(-) +--R 2 +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 6 +--R (- 60a b \|- 1 + 60a b \|- 1 - 51a b - 9a )sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 2 +--R (- 180a b \|- 1 + 180a b \|- 1 - 153a b - 27a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 +--R (- 288a b \|- 1 + 288a b \|- 1 - 252a b - 36a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 +--R - 108a b \|- 1 + 108a b \|- 1 - 99a b - 9a +--R * +--R 4 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3 +--R (96a b \|- 1 - 96a b \|- 1 + 24a b + 72a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 2 +--R (288a b \|- 1 - 288a b \|- 1 + 72a b + 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (288a b \|- 1 - 288a b \|- 1 + 72a b + 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R 96a b \|- 1 - 96a b \|- 1 + 24a b + 72a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 4 +--R (- 180a b \|- 1 + 180a b \|- 1 - 153a b - 27a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 3 +--R (- 576a b \|- 1 + 576a b \|- 1 - 504a b - 72a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 2 +--R (- 648a b \|- 1 + 648a b \|- 1 - 594a b - 54a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 288a b \|- 1 + 288a b \|- 1 - 288a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 +--R - 36a b \|- 1 + 36a b \|- 1 - 45a b + 9a +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 6 +--R (- 60a b \|- 1 + 60a b \|- 1 - 51a b - 9a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 5 +--R (- 288a b \|- 1 + 288a b \|- 1 - 252a b - 36a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 4 +--R (- 540a b \|- 1 + 540a b \|- 1 - 495a b - 45a )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (- 480a b \|- 1 + 480a b \|- 1 - 480a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 4 2 +--R (- 180a b \|- 1 + 180a b \|- 1 - 225a b + 45a )cos(x) +--R + +--R 2 2 4 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 36a b + 36a )cos(x) + 12a b \|- 1 - 12a b \|- 1 + 3a b +--R + +--R 4 +--R 9a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (24a b \|- 1 - 24a b\|- 1 + 24a b)sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (72a b \|- 1 - 72a b\|- 1 + 72a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (108a b \|- 1 - 108a b\|- 1 + 108a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R 36a b \|- 1 - 36a b\|- 1 + 36a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (- 96a b \|- 1 + 96a b \|- 1 - 96a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 +--R (- 288a b \|- 1 + 288a b \|- 1 - 288a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 288a b \|- 1 + 288a b \|- 1 - 288a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R - 96a b \|- 1 + 96a b \|- 1 - 96a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (72a b \|- 1 - 72a b\|- 1 + 72a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (216a b \|- 1 - 216a b\|- 1 + 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (216a b \|- 1 - 216a b\|- 1 + 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (72a b \|- 1 - 72a b\|- 1 + 72a b)cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (24a b \|- 1 - 24a b\|- 1 + 24a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 5 +--R (108a b \|- 1 - 108a b\|- 1 + 108a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (180a b \|- 1 - 180a b\|- 1 + 180a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (120a b \|- 1 - 120a b\|- 1 + 120a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (- 36a b \|- 1 + 36a b\|- 1 - 36a b)cos(x) - 12a b \|- 1 +--R + +--R 3 3+---+ 3 +--R 12a b\|- 1 - 12a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 2 4 6 +--R (3a b - 3a )sin(x) +--R + +--R 2 2 4 2 2 2 4 2 2 4 4 +--R ((9a b - 9a )cos(x) + (12a b - 12a )cos(x) + 3a b - 3a )sin(x) +--R + +--R 3 3 3 3 3 2 +--R (- 24a b + 24a b)cos(x) + (- 72a b + 72a b)cos(x) +--R + +--R 3 3 3 3 +--R (- 72a b + 72a b)cos(x) - 24a b + 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 4 4 2 2 4 3 +--R (9a b - 9a )cos(x) + (24a b - 24a )cos(x) +--R + +--R 2 2 4 2 2 2 4 +--R (18a b - 18a )cos(x) - 3a b + 3a +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 4 6 2 2 4 5 +--R (3a b - 3a )cos(x) + (12a b - 12a )cos(x) +--R + +--R 2 2 4 4 2 2 4 2 +--R (15a b - 15a )cos(x) + (- 15a b + 15a )cos(x) +--R + +--R 2 2 4 2 2 4 +--R (- 12a b + 12a )cos(x) - 3a b + 3a +--R * +--R 3+-+ +--R \|a +--R / +--R 4 3+---+2 4 3+---+ 4 6 +--R (3a \|- 1 - 3a \|- 1 + 3a )sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (9a \|- 1 - 9a \|- 1 + 9a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (18a \|- 1 - 18a \|- 1 + 18a )cos(x) + 9a \|- 1 +--R + +--R 4 3+---+ 4 +--R - 9a \|- 1 + 9a +--R * +--R 4 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (24a b \|- 1 - 24a b\|- 1 + 24a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (72a b \|- 1 - 72a b\|- 1 + 72a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (72a b \|- 1 - 72a b\|- 1 + 72a b)cos(x) + 24a b \|- 1 +--R + +--R 3 3+---+ 3 +--R - 24a b\|- 1 + 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (9a \|- 1 - 9a \|- 1 + 9a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (36a \|- 1 - 36a \|- 1 + 36a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (54a \|- 1 - 54a \|- 1 + 54a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (36a \|- 1 - 36a \|- 1 + 36a )cos(x) + 9a \|- 1 +--R + +--R 4 3+---+ 4 +--R - 9a \|- 1 + 9a +--R * +--R 2 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (3a \|- 1 - 3a \|- 1 + 3a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 5 +--R (18a \|- 1 - 18a \|- 1 + 18a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (45a \|- 1 - 45a \|- 1 + 45a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (60a \|- 1 - 60a \|- 1 + 60a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (45a \|- 1 - 45a \|- 1 + 45a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 4 3+---+ +--R (18a \|- 1 - 18a \|- 1 + 18a )cos(x) + 3a \|- 1 - 3a \|- 1 +--R + +--R 4 +--R 3a +--R * +--R x 6 +--R tan(-) +--R 2 +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 54a b \|- 1 + 54a b\|- 1 - 54a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (- 108a b \|- 1 + 108a b\|- 1 - 108a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R - 54a b \|- 1 + 54a b\|- 1 - 54a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (- 144a b \|- 1 + 144a b \|- 1 - 144a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 +--R (- 432a b \|- 1 + 432a b \|- 1 - 432a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 432a b \|- 1 + 432a b \|- 1 - 432a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R - 144a b \|- 1 + 144a b \|- 1 - 144a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (- 54a b \|- 1 + 54a b\|- 1 - 54a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (- 216a b \|- 1 + 216a b\|- 1 - 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 324a b \|- 1 + 324a b\|- 1 - 324a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (- 216a b \|- 1 + 216a b\|- 1 - 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R - 54a b \|- 1 + 54a b\|- 1 - 54a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 5 +--R (- 108a b \|- 1 + 108a b\|- 1 - 108a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (- 270a b \|- 1 + 270a b\|- 1 - 270a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (- 360a b \|- 1 + 360a b\|- 1 - 360a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 270a b \|- 1 + 270a b\|- 1 - 270a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (- 108a b \|- 1 + 108a b\|- 1 - 108a b)cos(x) - 18a b \|- 1 +--R + +--R 3 3+---+ 3 +--R 18a b\|- 1 - 18a b +--R * +--R x 5 +--R tan(-) +--R 2 +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R ((12a b - 3a )\|- 1 + (- 12a b + 3a )\|- 1 + 12a b - 3a ) +--R * +--R 6 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (36a b - 9a )\|- 1 + (- 36a b + 9a )\|- 1 + 36a b +--R + +--R 4 +--R - 9a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (72a b - 18a )\|- 1 + (- 72a b + 18a )\|- 1 + 72a b +--R + +--R 4 +--R - 18a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R (36a b - 9a )\|- 1 + (- 36a b + 9a )\|- 1 + 36a b - 9a +--R * +--R 4 +--R sin(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (96a b - 24a b)\|- 1 + (- 96a b + 24a b)\|- 1 +--R + +--R 3 3 +--R 96a b - 24a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (288a b - 72a b)\|- 1 + (- 288a b + 72a b)\|- 1 +--R + +--R 3 3 +--R 288a b - 72a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (288a b - 72a b)\|- 1 + (- 288a b + 72a b)\|- 1 +--R + +--R 3 3 +--R 288a b - 72a b +--R * +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ 3 +--R (96a b - 24a b)\|- 1 + (- 96a b + 24a b)\|- 1 + 96a b +--R + +--R 3 +--R - 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (36a b - 9a )\|- 1 + (- 36a b + 9a )\|- 1 + 36a b +--R + +--R 4 +--R - 9a +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ +--R (144a b - 36a )\|- 1 + (- 144a b + 36a )\|- 1 +--R + +--R 2 2 4 +--R 144a b - 36a +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ +--R (216a b - 54a )\|- 1 + (- 216a b + 54a )\|- 1 +--R + +--R 2 2 4 +--R 216a b - 54a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ +--R (144a b - 36a )\|- 1 + (- 144a b + 36a )\|- 1 +--R + +--R 2 2 4 +--R 144a b - 36a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R (36a b - 9a )\|- 1 + (- 36a b + 9a )\|- 1 + 36a b - 9a +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R ((12a b - 3a )\|- 1 + (- 12a b + 3a )\|- 1 + 12a b - 3a ) +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (72a b - 18a )\|- 1 + (- 72a b + 18a )\|- 1 + 72a b +--R + +--R 4 +--R - 18a +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (180a b - 45a )\|- 1 + (- 180a b + 45a )\|- 1 + 180a b +--R + +--R 4 +--R - 45a +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (240a b - 60a )\|- 1 + (- 240a b + 60a )\|- 1 + 240a b +--R + +--R 4 +--R - 60a +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (180a b - 45a )\|- 1 + (- 180a b + 45a )\|- 1 + 180a b +--R + +--R 4 +--R - 45a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (72a b - 18a )\|- 1 + (- 72a b + 18a )\|- 1 + 72a b +--R + +--R 4 +--R - 18a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R (12a b - 3a )\|- 1 + (- 12a b + 3a )\|- 1 + 12a b - 3a +--R * +--R x 4 +--R tan(-) +--R 2 +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (- 12a b \|- 1 + 12a b\|- 1 - 12a b)sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 36a b \|- 1 + 36a b\|- 1 - 36a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) - 36a b \|- 1 +--R + +--R 3 3+---+ 3 +--R 36a b\|- 1 - 36a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (- 96a b \|- 1 + 96a b \|- 1 - 96a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 +--R (- 288a b \|- 1 + 288a b \|- 1 - 288a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 288a b \|- 1 + 288a b \|- 1 - 288a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R - 96a b \|- 1 + 96a b \|- 1 - 96a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (- 36a b \|- 1 + 36a b\|- 1 - 36a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (- 144a b \|- 1 + 144a b\|- 1 - 144a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 216a b \|- 1 + 216a b\|- 1 - 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (- 144a b \|- 1 + 144a b\|- 1 - 144a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R - 36a b \|- 1 + 36a b\|- 1 - 36a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (- 12a b \|- 1 + 12a b\|- 1 - 12a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 5 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (- 180a b \|- 1 + 180a b\|- 1 - 180a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (- 240a b \|- 1 + 240a b\|- 1 - 240a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 180a b \|- 1 + 180a b\|- 1 - 180a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (- 72a b \|- 1 + 72a b\|- 1 - 72a b)cos(x) - 12a b \|- 1 +--R + +--R 3 3+---+ 3 +--R 12a b\|- 1 - 12a b +--R * +--R x 3 +--R tan(-) +--R 2 +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R ((12a b - 3a )\|- 1 + (- 12a b + 3a )\|- 1 + 12a b - 3a ) +--R * +--R 6 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (36a b - 9a )\|- 1 + (- 36a b + 9a )\|- 1 + 36a b +--R + +--R 4 +--R - 9a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (72a b - 18a )\|- 1 + (- 72a b + 18a )\|- 1 + 72a b +--R + +--R 4 +--R - 18a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R (36a b - 9a )\|- 1 + (- 36a b + 9a )\|- 1 + 36a b - 9a +--R * +--R 4 +--R sin(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (96a b - 24a b)\|- 1 + (- 96a b + 24a b)\|- 1 +--R + +--R 3 3 +--R 96a b - 24a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (288a b - 72a b)\|- 1 + (- 288a b + 72a b)\|- 1 +--R + +--R 3 3 +--R 288a b - 72a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ +--R (288a b - 72a b)\|- 1 + (- 288a b + 72a b)\|- 1 +--R + +--R 3 3 +--R 288a b - 72a b +--R * +--R cos(x) +--R + +--R 3 3 3+---+2 3 3 3+---+ 3 +--R (96a b - 24a b)\|- 1 + (- 96a b + 24a b)\|- 1 + 96a b +--R + +--R 3 +--R - 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (36a b - 9a )\|- 1 + (- 36a b + 9a )\|- 1 + 36a b +--R + +--R 4 +--R - 9a +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ +--R (144a b - 36a )\|- 1 + (- 144a b + 36a )\|- 1 +--R + +--R 2 2 4 +--R 144a b - 36a +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ +--R (216a b - 54a )\|- 1 + (- 216a b + 54a )\|- 1 +--R + +--R 2 2 4 +--R 216a b - 54a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ +--R (144a b - 36a )\|- 1 + (- 144a b + 36a )\|- 1 +--R + +--R 2 2 4 +--R 144a b - 36a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R (36a b - 9a )\|- 1 + (- 36a b + 9a )\|- 1 + 36a b - 9a +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R ((12a b - 3a )\|- 1 + (- 12a b + 3a )\|- 1 + 12a b - 3a ) +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (72a b - 18a )\|- 1 + (- 72a b + 18a )\|- 1 + 72a b +--R + +--R 4 +--R - 18a +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (180a b - 45a )\|- 1 + (- 180a b + 45a )\|- 1 + 180a b +--R + +--R 4 +--R - 45a +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (240a b - 60a )\|- 1 + (- 240a b + 60a )\|- 1 + 240a b +--R + +--R 4 +--R - 60a +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (180a b - 45a )\|- 1 + (- 180a b + 45a )\|- 1 + 180a b +--R + +--R 4 +--R - 45a +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 +--R (72a b - 18a )\|- 1 + (- 72a b + 18a )\|- 1 + 72a b +--R + +--R 4 +--R - 18a +--R * +--R cos(x) +--R + +--R 2 2 4 3+---+2 2 2 4 3+---+ 2 2 4 +--R (12a b - 3a )\|- 1 + (- 12a b + 3a )\|- 1 + 12a b - 3a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 54a b \|- 1 + 54a b\|- 1 - 54a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (- 108a b \|- 1 + 108a b\|- 1 - 108a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R - 54a b \|- 1 + 54a b\|- 1 - 54a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 3 +--R (- 144a b \|- 1 + 144a b \|- 1 - 144a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 2 +--R (- 432a b \|- 1 + 432a b \|- 1 - 432a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R (- 432a b \|- 1 + 432a b \|- 1 - 432a b )cos(x) +--R + +--R 2 2 3+---+2 2 2 3+---+ 2 2 +--R - 144a b \|- 1 + 144a b \|- 1 - 144a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (- 54a b \|- 1 + 54a b\|- 1 - 54a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (- 216a b \|- 1 + 216a b\|- 1 - 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 324a b \|- 1 + 324a b\|- 1 - 324a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R (- 216a b \|- 1 + 216a b\|- 1 - 216a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 +--R - 54a b \|- 1 + 54a b\|- 1 - 54a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 6 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 5 +--R (- 108a b \|- 1 + 108a b\|- 1 - 108a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 4 +--R (- 270a b \|- 1 + 270a b\|- 1 - 270a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (- 360a b \|- 1 + 360a b\|- 1 - 360a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (- 270a b \|- 1 + 270a b\|- 1 - 270a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (- 108a b \|- 1 + 108a b\|- 1 - 108a b)cos(x) - 18a b \|- 1 +--R + +--R 3 3+---+ 3 +--R 18a b\|- 1 - 18a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (3a \|- 1 - 3a \|- 1 + 3a )sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (9a \|- 1 - 9a \|- 1 + 9a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 4 3+---+ +--R (18a \|- 1 - 18a \|- 1 + 18a )cos(x) + 9a \|- 1 - 9a \|- 1 +--R + +--R 4 +--R 9a +--R * +--R 4 +--R sin(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 +--R (24a b \|- 1 - 24a b\|- 1 + 24a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 2 +--R (72a b \|- 1 - 72a b\|- 1 + 72a b)cos(x) +--R + +--R 3 3+---+2 3 3+---+ 3 3 3+---+2 +--R (72a b \|- 1 - 72a b\|- 1 + 72a b)cos(x) + 24a b \|- 1 +--R + +--R 3 3+---+ 3 +--R - 24a b\|- 1 + 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (9a \|- 1 - 9a \|- 1 + 9a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (36a \|- 1 - 36a \|- 1 + 36a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (54a \|- 1 - 54a \|- 1 + 54a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 4 3+---+ +--R (36a \|- 1 - 36a \|- 1 + 36a )cos(x) + 9a \|- 1 - 9a \|- 1 +--R + +--R 4 +--R 9a +--R * +--R 2 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (3a \|- 1 - 3a \|- 1 + 3a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 5 +--R (18a \|- 1 - 18a \|- 1 + 18a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (45a \|- 1 - 45a \|- 1 + 45a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (60a \|- 1 - 60a \|- 1 + 60a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (45a \|- 1 - 45a \|- 1 + 45a )cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 4 3+---+ 4 +--R (18a \|- 1 - 18a \|- 1 + 18a )cos(x) + 3a \|- 1 - 3a \|- 1 + 3a +--R * +--R 3+-+2 3+-+2 +--R \|a \|b +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (- 3a b \|- 1 + 3a b\|- 1 - 3a b)sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (- 9a b \|- 1 + 9a b\|- 1 - 9a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cos(x) - 9a b \|- 1 +--R + +--R 4 3+---+ 4 +--R 9a b\|- 1 - 9a b +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 3 +--R (- 24a b \|- 1 + 24a b \|- 1 - 24a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 2 +--R (- 72a b \|- 1 + 72a b \|- 1 - 72a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R (- 72a b \|- 1 + 72a b \|- 1 - 72a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R - 24a b \|- 1 + 24a b \|- 1 - 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (- 9a b \|- 1 + 9a b\|- 1 - 9a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (- 36a b \|- 1 + 36a b\|- 1 - 36a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (- 54a b \|- 1 + 54a b\|- 1 - 54a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (- 36a b \|- 1 + 36a b\|- 1 - 36a b)cos(x) - 9a b \|- 1 +--R + +--R 4 3+---+ 4 +--R 9a b\|- 1 - 9a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (- 3a b \|- 1 + 3a b\|- 1 - 3a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 5 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (- 45a b \|- 1 + 45a b\|- 1 - 45a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (- 60a b \|- 1 + 60a b\|- 1 - 60a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (- 45a b \|- 1 + 45a b\|- 1 - 45a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cos(x) - 3a b \|- 1 +--R + +--R 4 3+---+ 4 +--R 3a b\|- 1 - 3a b +--R * +--R x 6 +--R tan(-) +--R 2 +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 5 +--R ((6a b - 6a )\|- 1 + (- 6a b + 6a )\|- 1 + 6a b - 6a ) +--R * +--R 6 +--R sin(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (18a b - 18a )\|- 1 + (- 18a b + 18a )\|- 1 + 18a b +--R + +--R 5 +--R - 18a +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (36a b - 36a )\|- 1 + (- 36a b + 36a )\|- 1 + 36a b +--R + +--R 5 +--R - 36a +--R * +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (18a b - 18a )\|- 1 + (- 18a b + 18a )\|- 1 + 18a b +--R + +--R 5 +--R - 18a +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ +--R (48a b - 48a b)\|- 1 + (- 48a b + 48a b)\|- 1 +--R + +--R 2 3 4 +--R 48a b - 48a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ +--R (144a b - 144a b)\|- 1 + (- 144a b + 144a b)\|- 1 +--R + +--R 2 3 4 +--R 144a b - 144a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ +--R (144a b - 144a b)\|- 1 + (- 144a b + 144a b)\|- 1 +--R + +--R 2 3 4 +--R 144a b - 144a b +--R * +--R cos(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ 2 3 +--R (48a b - 48a b)\|- 1 + (- 48a b + 48a b)\|- 1 + 48a b +--R + +--R 4 +--R - 48a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (18a b - 18a )\|- 1 + (- 18a b + 18a )\|- 1 + 18a b +--R + +--R 5 +--R - 18a +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (72a b - 72a )\|- 1 + (- 72a b + 72a )\|- 1 + 72a b +--R + +--R 5 +--R - 72a +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ +--R (108a b - 108a )\|- 1 + (- 108a b + 108a )\|- 1 +--R + +--R 3 2 5 +--R 108a b - 108a +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (72a b - 72a )\|- 1 + (- 72a b + 72a )\|- 1 + 72a b +--R + +--R 5 +--R - 72a +--R * +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (18a b - 18a )\|- 1 + (- 18a b + 18a )\|- 1 + 18a b +--R + +--R 5 +--R - 18a +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 5 +--R ((6a b - 6a )\|- 1 + (- 6a b + 6a )\|- 1 + 6a b - 6a ) +--R * +--R 6 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (36a b - 36a )\|- 1 + (- 36a b + 36a )\|- 1 + 36a b +--R + +--R 5 +--R - 36a +--R * +--R 5 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (90a b - 90a )\|- 1 + (- 90a b + 90a )\|- 1 + 90a b +--R + +--R 5 +--R - 90a +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ +--R (120a b - 120a )\|- 1 + (- 120a b + 120a )\|- 1 +--R + +--R 3 2 5 +--R 120a b - 120a +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (90a b - 90a )\|- 1 + (- 90a b + 90a )\|- 1 + 90a b +--R + +--R 5 +--R - 90a +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (36a b - 36a )\|- 1 + (- 36a b + 36a )\|- 1 + 36a b +--R + +--R 5 +--R - 36a +--R * +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 5 +--R (6a b - 6a )\|- 1 + (- 6a b + 6a )\|- 1 + 6a b - 6a +--R * +--R x 5 +--R tan(-) +--R 2 +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (27a b \|- 1 - 27a b\|- 1 + 27a b)sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (81a b \|- 1 - 81a b\|- 1 + 81a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R (162a b \|- 1 - 162a b\|- 1 + 162a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R 81a b \|- 1 - 81a b\|- 1 + 81a b +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 3 +--R (216a b \|- 1 - 216a b \|- 1 + 216a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 2 +--R (648a b \|- 1 - 648a b \|- 1 + 648a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R (648a b \|- 1 - 648a b \|- 1 + 648a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R 216a b \|- 1 - 216a b \|- 1 + 216a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (81a b \|- 1 - 81a b\|- 1 + 81a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (324a b \|- 1 - 324a b\|- 1 + 324a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (486a b \|- 1 - 486a b\|- 1 + 486a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R (324a b \|- 1 - 324a b\|- 1 + 324a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R 81a b \|- 1 - 81a b\|- 1 + 81a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (27a b \|- 1 - 27a b\|- 1 + 27a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 5 +--R (162a b \|- 1 - 162a b\|- 1 + 162a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (405a b \|- 1 - 405a b\|- 1 + 405a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (540a b \|- 1 - 540a b\|- 1 + 540a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (405a b \|- 1 - 405a b\|- 1 + 405a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (162a b \|- 1 - 162a b\|- 1 + 162a b)cos(x) + 27a b \|- 1 +--R + +--R 4 3+---+ 4 +--R - 27a b\|- 1 + 27a b +--R * +--R x 4 +--R tan(-) +--R 2 +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (- 12a b - 12a )\|- 1 + (12a b + 12a )\|- 1 - 12a b +--R + +--R 5 +--R - 12a +--R * +--R 6 +--R sin(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (- 36a b - 36a )\|- 1 + (36a b + 36a )\|- 1 - 36a b +--R + +--R 5 +--R - 36a +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (- 72a b - 72a )\|- 1 + (72a b + 72a )\|- 1 - 72a b +--R + +--R 5 +--R - 72a +--R * +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (- 36a b - 36a )\|- 1 + (36a b + 36a )\|- 1 - 36a b +--R + +--R 5 +--R - 36a +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ +--R (- 96a b - 96a b)\|- 1 + (96a b + 96a b)\|- 1 +--R + +--R 2 3 4 +--R - 96a b - 96a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ +--R (- 288a b - 288a b)\|- 1 + (288a b + 288a b)\|- 1 +--R + +--R 2 3 4 +--R - 288a b - 288a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ +--R (- 288a b - 288a b)\|- 1 + (288a b + 288a b)\|- 1 +--R + +--R 2 3 4 +--R - 288a b - 288a b +--R * +--R cos(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ 2 3 +--R (- 96a b - 96a b)\|- 1 + (96a b + 96a b)\|- 1 - 96a b +--R + +--R 4 +--R - 96a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (- 36a b - 36a )\|- 1 + (36a b + 36a )\|- 1 - 36a b +--R + +--R 5 +--R - 36a +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ +--R (- 144a b - 144a )\|- 1 + (144a b + 144a )\|- 1 +--R + +--R 3 2 5 +--R - 144a b - 144a +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ +--R (- 216a b - 216a )\|- 1 + (216a b + 216a )\|- 1 +--R + +--R 3 2 5 +--R - 216a b - 216a +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ +--R (- 144a b - 144a )\|- 1 + (144a b + 144a )\|- 1 +--R + +--R 3 2 5 +--R - 144a b - 144a +--R * +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (- 36a b - 36a )\|- 1 + (36a b + 36a )\|- 1 - 36a b +--R + +--R 5 +--R - 36a +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (- 12a b - 12a )\|- 1 + (12a b + 12a )\|- 1 - 12a b +--R + +--R 5 +--R - 12a +--R * +--R 6 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (- 72a b - 72a )\|- 1 + (72a b + 72a )\|- 1 - 72a b +--R + +--R 5 +--R - 72a +--R * +--R 5 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ +--R (- 180a b - 180a )\|- 1 + (180a b + 180a )\|- 1 +--R + +--R 3 2 5 +--R - 180a b - 180a +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ +--R (- 240a b - 240a )\|- 1 + (240a b + 240a )\|- 1 +--R + +--R 3 2 5 +--R - 240a b - 240a +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ +--R (- 180a b - 180a )\|- 1 + (180a b + 180a )\|- 1 +--R + +--R 3 2 5 +--R - 180a b - 180a +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (- 72a b - 72a )\|- 1 + (72a b + 72a )\|- 1 - 72a b +--R + +--R 5 +--R - 72a +--R * +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 5 +--R (- 12a b - 12a )\|- 1 + (12a b + 12a )\|- 1 - 12a b - 12a +--R * +--R x 3 +--R tan(-) +--R 2 +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (27a b \|- 1 - 27a b\|- 1 + 27a b)sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (81a b \|- 1 - 81a b\|- 1 + 81a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R (162a b \|- 1 - 162a b\|- 1 + 162a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R 81a b \|- 1 - 81a b\|- 1 + 81a b +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 3 +--R (216a b \|- 1 - 216a b \|- 1 + 216a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 2 +--R (648a b \|- 1 - 648a b \|- 1 + 648a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R (648a b \|- 1 - 648a b \|- 1 + 648a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R 216a b \|- 1 - 216a b \|- 1 + 216a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (81a b \|- 1 - 81a b\|- 1 + 81a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (324a b \|- 1 - 324a b\|- 1 + 324a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (486a b \|- 1 - 486a b\|- 1 + 486a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R (324a b \|- 1 - 324a b\|- 1 + 324a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R 81a b \|- 1 - 81a b\|- 1 + 81a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (27a b \|- 1 - 27a b\|- 1 + 27a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 5 +--R (162a b \|- 1 - 162a b\|- 1 + 162a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (405a b \|- 1 - 405a b\|- 1 + 405a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (540a b \|- 1 - 540a b\|- 1 + 540a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (405a b \|- 1 - 405a b\|- 1 + 405a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (162a b \|- 1 - 162a b\|- 1 + 162a b)cos(x) + 27a b \|- 1 +--R + +--R 4 3+---+ 4 +--R - 27a b\|- 1 + 27a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 5 +--R ((6a b - 6a )\|- 1 + (- 6a b + 6a )\|- 1 + 6a b - 6a ) +--R * +--R 6 +--R sin(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (18a b - 18a )\|- 1 + (- 18a b + 18a )\|- 1 + 18a b +--R + +--R 5 +--R - 18a +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (36a b - 36a )\|- 1 + (- 36a b + 36a )\|- 1 + 36a b +--R + +--R 5 +--R - 36a +--R * +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (18a b - 18a )\|- 1 + (- 18a b + 18a )\|- 1 + 18a b +--R + +--R 5 +--R - 18a +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ +--R (48a b - 48a b)\|- 1 + (- 48a b + 48a b)\|- 1 +--R + +--R 2 3 4 +--R 48a b - 48a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ +--R (144a b - 144a b)\|- 1 + (- 144a b + 144a b)\|- 1 +--R + +--R 2 3 4 +--R 144a b - 144a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ +--R (144a b - 144a b)\|- 1 + (- 144a b + 144a b)\|- 1 +--R + +--R 2 3 4 +--R 144a b - 144a b +--R * +--R cos(x) +--R + +--R 2 3 4 3+---+2 2 3 4 3+---+ 2 3 +--R (48a b - 48a b)\|- 1 + (- 48a b + 48a b)\|- 1 + 48a b +--R + +--R 4 +--R - 48a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (18a b - 18a )\|- 1 + (- 18a b + 18a )\|- 1 + 18a b +--R + +--R 5 +--R - 18a +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (72a b - 72a )\|- 1 + (- 72a b + 72a )\|- 1 + 72a b +--R + +--R 5 +--R - 72a +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ +--R (108a b - 108a )\|- 1 + (- 108a b + 108a )\|- 1 +--R + +--R 3 2 5 +--R 108a b - 108a +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (72a b - 72a )\|- 1 + (- 72a b + 72a )\|- 1 + 72a b +--R + +--R 5 +--R - 72a +--R * +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (18a b - 18a )\|- 1 + (- 18a b + 18a )\|- 1 + 18a b +--R + +--R 5 +--R - 18a +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 5 +--R ((6a b - 6a )\|- 1 + (- 6a b + 6a )\|- 1 + 6a b - 6a ) +--R * +--R 6 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (36a b - 36a )\|- 1 + (- 36a b + 36a )\|- 1 + 36a b +--R + +--R 5 +--R - 36a +--R * +--R 5 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (90a b - 90a )\|- 1 + (- 90a b + 90a )\|- 1 + 90a b +--R + +--R 5 +--R - 90a +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ +--R (120a b - 120a )\|- 1 + (- 120a b + 120a )\|- 1 +--R + +--R 3 2 5 +--R 120a b - 120a +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (90a b - 90a )\|- 1 + (- 90a b + 90a )\|- 1 + 90a b +--R + +--R 5 +--R - 90a +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 +--R (36a b - 36a )\|- 1 + (- 36a b + 36a )\|- 1 + 36a b +--R + +--R 5 +--R - 36a +--R * +--R cos(x) +--R + +--R 3 2 5 3+---+2 3 2 5 3+---+ 3 2 5 +--R (6a b - 6a )\|- 1 + (- 6a b + 6a )\|- 1 + 6a b - 6a +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (- 3a b \|- 1 + 3a b\|- 1 - 3a b)sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (- 9a b \|- 1 + 9a b\|- 1 - 9a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cos(x) - 9a b \|- 1 +--R + +--R 4 3+---+ 4 +--R 9a b\|- 1 - 9a b +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 3 +--R (- 24a b \|- 1 + 24a b \|- 1 - 24a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 2 +--R (- 72a b \|- 1 + 72a b \|- 1 - 72a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 3 2 3+---+2 +--R (- 72a b \|- 1 + 72a b \|- 1 - 72a b )cos(x) - 24a b \|- 1 +--R + +--R 3 2 3+---+ 3 2 +--R 24a b \|- 1 - 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (- 9a b \|- 1 + 9a b\|- 1 - 9a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (- 36a b \|- 1 + 36a b\|- 1 - 36a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (- 54a b \|- 1 + 54a b\|- 1 - 54a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (- 36a b \|- 1 + 36a b\|- 1 - 36a b)cos(x) - 9a b \|- 1 +--R + +--R 4 3+---+ 4 +--R 9a b\|- 1 - 9a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (- 3a b \|- 1 + 3a b\|- 1 - 3a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 5 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (- 45a b \|- 1 + 45a b\|- 1 - 45a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (- 60a b \|- 1 + 60a b\|- 1 - 60a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (- 45a b \|- 1 + 45a b\|- 1 - 45a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (- 18a b \|- 1 + 18a b\|- 1 - 18a b)cos(x) - 3a b \|- 1 +--R + +--R 4 3+---+ 4 +--R 3a b\|- 1 - 3a b +--R * +--R 3+-+ +--R \|b +--R + +--R 3 2 5 6 +--R (3a b - 3a )sin(x) +--R + +--R 3 2 5 2 3 2 5 3 2 5 +--R ((9a b - 9a )cos(x) + (18a b - 18a )cos(x) + 9a b - 9a ) +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 4 3 2 3 4 2 +--R (24a b - 24a b)cos(x) + (72a b - 72a b)cos(x) +--R + +--R 2 3 4 2 3 4 +--R (72a b - 72a b)cos(x) + 24a b - 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 5 4 3 2 5 3 +--R (9a b - 9a )cos(x) + (36a b - 36a )cos(x) +--R + +--R 3 2 5 2 3 2 5 3 2 5 +--R (54a b - 54a )cos(x) + (36a b - 36a )cos(x) + 9a b - 9a +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 5 6 3 2 5 5 +--R (3a b - 3a )cos(x) + (18a b - 18a )cos(x) +--R + +--R 3 2 5 4 3 2 5 3 +--R (45a b - 45a )cos(x) + (60a b - 60a )cos(x) +--R + +--R 3 2 5 2 3 2 5 3 2 5 +--R (45a b - 45a )cos(x) + (18a b - 18a )cos(x) + 3a b - 3a +--R * +--R x 6 +--R tan(-) +--R 2 +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (18a b \|- 1 - 18a b\|- 1 + 18a b)sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (54a b \|- 1 - 54a b\|- 1 + 54a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R (108a b \|- 1 - 108a b\|- 1 + 108a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R 54a b \|- 1 - 54a b\|- 1 + 54a b +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 3 +--R (144a b \|- 1 - 144a b \|- 1 + 144a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 2 +--R (432a b \|- 1 - 432a b \|- 1 + 432a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R (432a b \|- 1 - 432a b \|- 1 + 432a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R 144a b \|- 1 - 144a b \|- 1 + 144a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (54a b \|- 1 - 54a b\|- 1 + 54a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (216a b \|- 1 - 216a b\|- 1 + 216a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (324a b \|- 1 - 324a b\|- 1 + 324a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R (216a b \|- 1 - 216a b\|- 1 + 216a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R 54a b \|- 1 - 54a b\|- 1 + 54a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (18a b \|- 1 - 18a b\|- 1 + 18a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 5 +--R (108a b \|- 1 - 108a b\|- 1 + 108a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (270a b \|- 1 - 270a b\|- 1 + 270a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (360a b \|- 1 - 360a b\|- 1 + 360a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (270a b \|- 1 - 270a b\|- 1 + 270a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (108a b \|- 1 - 108a b\|- 1 + 108a b)cos(x) + 18a b \|- 1 +--R + +--R 4 3+---+ 4 +--R - 18a b\|- 1 + 18a b +--R * +--R x 5 +--R tan(-) +--R 2 +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 6 +--R (- 36a b \|- 1 + 36a b \|- 1 - 27a b - 9a )sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 2 +--R (- 108a b \|- 1 + 108a b \|- 1 - 81a b - 27a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R (- 216a b \|- 1 + 216a b \|- 1 - 162a b - 54a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R - 108a b \|- 1 + 108a b \|- 1 - 81a b - 27a +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 3 4 3 +--R (- 288a b \|- 1 + 288a b \|- 1 - 216a b - 72a b)cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 3 4 2 +--R (- 864a b \|- 1 + 864a b \|- 1 - 648a b - 216a b)cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 3 4 +--R (- 864a b \|- 1 + 864a b \|- 1 - 648a b - 216a b)cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 3 4 +--R - 288a b \|- 1 + 288a b \|- 1 - 216a b - 72a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 4 +--R (- 108a b \|- 1 + 108a b \|- 1 - 81a b - 27a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 3 +--R (- 432a b \|- 1 + 432a b \|- 1 - 324a b - 108a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 2 +--R (- 648a b \|- 1 + 648a b \|- 1 - 486a b - 162a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R (- 432a b \|- 1 + 432a b \|- 1 - 324a b - 108a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R - 108a b \|- 1 + 108a b \|- 1 - 81a b - 27a +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 6 +--R (- 36a b \|- 1 + 36a b \|- 1 - 27a b - 9a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 5 +--R (- 216a b \|- 1 + 216a b \|- 1 - 162a b - 54a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 4 +--R (- 540a b \|- 1 + 540a b \|- 1 - 405a b - 135a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 3 +--R (- 720a b \|- 1 + 720a b \|- 1 - 540a b - 180a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 2 +--R (- 540a b \|- 1 + 540a b \|- 1 - 405a b - 135a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R (- 216a b \|- 1 + 216a b \|- 1 - 162a b - 54a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R - 36a b \|- 1 + 36a b \|- 1 - 27a b - 9a +--R * +--R x 4 +--R tan(-) +--R 2 +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 6 +--R (36a b \|- 1 - 36a b\|- 1 + 24a b + 12a b)sin(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 2 +--R (108a b \|- 1 - 108a b\|- 1 + 72a b + 36a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 +--R (216a b \|- 1 - 216a b\|- 1 + 144a b + 72a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 +--R 108a b \|- 1 - 108a b\|- 1 + 72a b + 36a b +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 4 3 2 3 +--R (288a b \|- 1 - 288a b \|- 1 + 192a b + 96a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 4 3 2 2 +--R (864a b \|- 1 - 864a b \|- 1 + 576a b + 288a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 4 3 2 +--R (864a b \|- 1 - 864a b \|- 1 + 576a b + 288a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 4 3 2 +--R 288a b \|- 1 - 288a b \|- 1 + 192a b + 96a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 4 +--R (108a b \|- 1 - 108a b\|- 1 + 72a b + 36a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 3 +--R (432a b \|- 1 - 432a b\|- 1 + 288a b + 144a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 2 +--R (648a b \|- 1 - 648a b\|- 1 + 432a b + 216a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 +--R (432a b \|- 1 - 432a b\|- 1 + 288a b + 144a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 +--R 108a b \|- 1 - 108a b\|- 1 + 72a b + 36a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 6 +--R (36a b \|- 1 - 36a b\|- 1 + 24a b + 12a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 5 +--R (216a b \|- 1 - 216a b\|- 1 + 144a b + 72a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 4 +--R (540a b \|- 1 - 540a b\|- 1 + 360a b + 180a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 3 +--R (720a b \|- 1 - 720a b\|- 1 + 480a b + 240a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 2 +--R (540a b \|- 1 - 540a b\|- 1 + 360a b + 180a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 +--R (216a b \|- 1 - 216a b\|- 1 + 144a b + 72a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 2 3 4 +--R 36a b \|- 1 - 36a b\|- 1 + 24a b + 12a b +--R * +--R x 3 +--R tan(-) +--R 2 +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 6 +--R (- 36a b \|- 1 + 36a b \|- 1 - 27a b - 9a )sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 2 +--R (- 108a b \|- 1 + 108a b \|- 1 - 81a b - 27a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R (- 216a b \|- 1 + 216a b \|- 1 - 162a b - 54a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R - 108a b \|- 1 + 108a b \|- 1 - 81a b - 27a +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 3 4 3 +--R (- 288a b \|- 1 + 288a b \|- 1 - 216a b - 72a b)cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 3 4 2 +--R (- 864a b \|- 1 + 864a b \|- 1 - 648a b - 216a b)cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 3 4 +--R (- 864a b \|- 1 + 864a b \|- 1 - 648a b - 216a b)cos(x) +--R + +--R 2 3 3+---+2 2 3 3+---+ 2 3 4 +--R - 288a b \|- 1 + 288a b \|- 1 - 216a b - 72a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 4 +--R (- 108a b \|- 1 + 108a b \|- 1 - 81a b - 27a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 3 +--R (- 432a b \|- 1 + 432a b \|- 1 - 324a b - 108a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 2 +--R (- 648a b \|- 1 + 648a b \|- 1 - 486a b - 162a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R (- 432a b \|- 1 + 432a b \|- 1 - 324a b - 108a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R - 108a b \|- 1 + 108a b \|- 1 - 81a b - 27a +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 6 +--R (- 36a b \|- 1 + 36a b \|- 1 - 27a b - 9a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 5 +--R (- 216a b \|- 1 + 216a b \|- 1 - 162a b - 54a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 4 +--R (- 540a b \|- 1 + 540a b \|- 1 - 405a b - 135a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 3 +--R (- 720a b \|- 1 + 720a b \|- 1 - 540a b - 180a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 2 +--R (- 540a b \|- 1 + 540a b \|- 1 - 405a b - 135a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R (- 216a b \|- 1 + 216a b \|- 1 - 162a b - 54a )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 5 +--R - 36a b \|- 1 + 36a b \|- 1 - 27a b - 9a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (18a b \|- 1 - 18a b\|- 1 + 18a b)sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (54a b \|- 1 - 54a b\|- 1 + 54a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R (108a b \|- 1 - 108a b\|- 1 + 108a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R 54a b \|- 1 - 54a b\|- 1 + 54a b +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 3 +--R (144a b \|- 1 - 144a b \|- 1 + 144a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 2 +--R (432a b \|- 1 - 432a b \|- 1 + 432a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R (432a b \|- 1 - 432a b \|- 1 + 432a b )cos(x) +--R + +--R 3 2 3+---+2 3 2 3+---+ 3 2 +--R 144a b \|- 1 - 144a b \|- 1 + 144a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (54a b \|- 1 - 54a b\|- 1 + 54a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (216a b \|- 1 - 216a b\|- 1 + 216a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (324a b \|- 1 - 324a b\|- 1 + 324a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R (216a b \|- 1 - 216a b\|- 1 + 216a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 +--R 54a b \|- 1 - 54a b\|- 1 + 54a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 3+---+2 4 3+---+ 4 6 +--R (18a b \|- 1 - 18a b\|- 1 + 18a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 5 +--R (108a b \|- 1 - 108a b\|- 1 + 108a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 +--R (270a b \|- 1 - 270a b\|- 1 + 270a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 3 +--R (360a b \|- 1 - 360a b\|- 1 + 360a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 2 +--R (270a b \|- 1 - 270a b\|- 1 + 270a b)cos(x) +--R + +--R 4 3+---+2 4 3+---+ 4 4 3+---+2 +--R (108a b \|- 1 - 108a b\|- 1 + 108a b)cos(x) + 18a b \|- 1 +--R + +--R 4 3+---+ 4 +--R - 18a b\|- 1 + 18a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 2 5 6 +--R (3a b - 3a )sin(x) +--R + +--R 3 2 5 2 3 2 5 3 2 5 4 +--R ((9a b - 9a )cos(x) + (18a b - 18a )cos(x) + 9a b - 9a )sin(x) +--R + +--R 2 3 4 3 2 3 4 2 +--R (24a b - 24a b)cos(x) + (72a b - 72a b)cos(x) +--R + +--R 2 3 4 2 3 4 +--R (72a b - 72a b)cos(x) + 24a b - 24a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 5 4 3 2 5 3 +--R (9a b - 9a )cos(x) + (36a b - 36a )cos(x) +--R + +--R 3 2 5 2 3 2 5 3 2 5 +--R (54a b - 54a )cos(x) + (36a b - 36a )cos(x) + 9a b - 9a +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 5 6 3 2 5 5 +--R (3a b - 3a )cos(x) + (18a b - 18a )cos(x) +--R + +--R 3 2 5 4 3 2 5 3 +--R (45a b - 45a )cos(x) + (60a b - 60a )cos(x) +--R + +--R 3 2 5 2 3 2 5 3 2 5 +--R (45a b - 45a )cos(x) + (18a b - 18a )cos(x) + 3a b - 3a +--R * +--R 3+-+ +--R \|a +--R Type: Expression Integer +--E 340 + +--S 341 of 520 +t0064:= 1/(a+b*sin(x)^4) +--R +--R +--R 1 +--R (237) ------------- +--R 4 +--R b sin(x) + a +--R Type: Expression Integer +--E 341 + +--S 342 of 520 +r0064:= 1/2*atan((a^(1/2)-(-b)^(1/2))^(1/2)*tan(x)/a^(1/4))/a^(3/4)/(a^(1/2)-(-b)^(1/2))^(1/2)+1/2*atan((a^(1/2)+(-b)^(1/2))^(1/2)*tan(x)/a^(1/4))/a^(3/4)/(a^(1/2)+(-b)^(1/2))^(1/2) +--R +--R +--R (238) +--R +-------------+ +--R +-------------+ | +-+ +---+ +--R | +-+ +---+ tan(x)\|\|a + \|- b +--R \|\|a - \|- b atan(----------------------) +--R 4+-+ +--R \|a +--R + +--R +-------------+ +--R +-------------+ | +-+ +---+ +--R | +-+ +---+ tan(x)\|\|a - \|- b +--R \|\|a + \|- b atan(----------------------) +--R 4+-+ +--R \|a +--R / +--R +-------------+ +-------------+ +--R 4+-+3 | +-+ +---+ | +-+ +---+ +--R 2\|a \|\|a - \|- b \|\|a + \|- b +--R Type: Expression Integer +--E 342 + +--S 343 of 520 +a0064:= integrate(t0064,x) +--R +--R +--R (239) +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- - 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R * +--R log +--R +------------------------+ +--R 2 3 | b +--R ((32a b + 32a )sin(x) |- ---------------------- + 4a sin(x)) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R * +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- - 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R - 2cos(x) +--R / +--R cos(x) + 1 +--R + +--R - +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- - 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |--------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R * +--R log +--R +------------------------+ +--R 2 3 | b +--R (32a b + 32a )sin(x) |- ---------------------- +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R + +--R - 4a sin(x) +--R * +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- - 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |--------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R - 2cos(x) +--R / +--R cos(x) + 1 +--R + +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- - 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |--------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R * +--R log +--R +------------------------+ +--R 2 3 | b +--R (- 32a b - 32a )sin(x) |- ---------------------- +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R + +--R 4a sin(x) +--R * +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- - 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |--------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R - 2cos(x) +--R / +--R cos(x) + 1 +--R + +--R - +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- - 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R * +--R log +--R +------------------------+ +--R 2 3 | b +--R (- 32a b - 32a )sin(x) |- ---------------------- +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R + +--R - 4a sin(x) +--R * +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- - 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R - 2cos(x) +--R / +--R cos(x) + 1 +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 343 + +--S 344 of 520 +m0064:= a0064-r0064 +--R +--R +--R (240) +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- - 1 +--R | | 3 2 4 5 +-------------+ +--R 4+-+3 | \| 64a b + 128a b + 64a | +-+ +---+ +--R \|a |------------------------------------------- \|\|a - \|- b +--R | 2 +--R \| 4a b + 4a +--R * +--R +-------------+ +--R | +-+ +---+ +--R \|\|a + \|- b +--R * +--R log +--R +------------------------+ +--R 2 3 | b +--R ((32a b + 32a )sin(x) |- ---------------------- + 4a sin(x)) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R * +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- - 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R - 2cos(x) +--R / +--R cos(x) + 1 +--R + +--R - +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- - 1 +--R | | 3 2 4 5 +--R 4+-+3 | \| 64a b + 128a b + 64a +--R \|a |--------------------------------------------- +--