2.2.47 Integrals 4601 to 4700

2.2.47.1 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^2(x)}{a+b \csc (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(cot(x)^2/(a+b*csc(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.6_Cosecant/4.6.1.4-d_cot-^n-a+b_csc-^m.txt

Test file number \(131\)

Integral number in file \(21\)

2.2.47.2 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^4(x)}{a+b \csc (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(cot(x)^4/(a+b*csc(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.6_Cosecant/4.6.1.4-d_cot-^n-a+b_csc-^m.txt

Test file number \(131\)

Integral number in file \(22\)

2.2.47.3 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^6(x)}{a+b \csc (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(cot(x)^6/(a+b*csc(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.6_Cosecant/4.6.1.4-d_cot-^n-a+b_csc-^m.txt

Test file number \(131\)

Integral number in file \(23\)

2.2.47.4 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^5(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)^5/(a*cos(d*x+c)+I*a*sin(d*x+c)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(150\)

2.2.47.5 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^4(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)^4/(a*cos(d*x+c)+I*a*sin(d*x+c)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(151\)

2.2.47.6 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^3(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)^3/(a*cos(d*x+c)+I*a*sin(d*x+c)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(152\)

2.2.47.7 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^2(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)^2/(a*cos(d*x+c)+I*a*sin(d*x+c)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(153\)

2.2.47.8 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos (c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)/(a*cos(d*x+c)+I*a*sin(d*x+c)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(154\)

2.2.47.9 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^5(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)^5/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(163\)

2.2.47.10 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^4(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)^4/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(164\)

2.2.47.11 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^3(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)^3/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(165\)

2.2.47.12 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^2(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)^2/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(166\)

2.2.47.13 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^5(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)^5/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(175\)

2.2.47.14 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^4(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)^4/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(176\)

2.2.47.15 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^3(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cos(d*x+c)^3/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(177\)

2.2.47.16 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^3(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(cos(d*x+c)^3/(a*sin(d*x+c)+b*tan(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(257\)

2.2.47.17 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^2(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(cos(d*x+c)^2/(a*sin(d*x+c)+b*tan(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(258\)

2.2.47.18 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos (c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(cos(d*x+c)/(a*sin(d*x+c)+b*tan(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(259\)

2.2.47.19 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a*sin(d*x+c)+b*tan(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(260\)

2.2.47.20 Maxima [F(-2)]

Exception generated. \[ \int \frac {\sec (c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(sec(d*x+c)/(a*sin(d*x+c)+b*tan(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(261\)

2.2.47.21 Maxima [F(-2)]

Exception generated. \[ \int \frac {\sec ^2(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(sec(d*x+c)^2/(a*sin(d*x+c)+b*tan(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(262\)

2.2.47.22 Maxima [F(-2)]

Exception generated. \[ \int \frac {\sec ^3(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(sec(d*x+c)^3/(a*sin(d*x+c)+b*tan(d*x+c))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.2_trig^m-a_trig+b_trig-^n.txt

Test file number \(136\)

Integral number in file \(263\)

2.2.47.23 Maxima [F(-2)]

Exception generated. \[ \int x^3 \cos ^2(x) \cot ^2(x) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^3*cos(x)^2*cot(x)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(202\)

2.2.47.24 Maxima [F(-2)]

Exception generated. \[ \int x^2 \cos ^2(x) \cot ^2(x) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2*cos(x)^2*cot(x)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(203\)

2.2.47.25 Maxima [F(-2)]

Exception generated. \[ \int x \cos ^2(x) \cot ^2(x) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*cos(x)^2*cot(x)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.3-c+d_x-^m_trig^n_trig^p.txt

Test file number \(137\)

Integral number in file \(204\)

2.2.47.26 Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan ^2(a+i \log (x))}{x^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(tan(a+I*log(x))^2/x^3,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.5_x^m_trig-a+b_log-c_x^n-^p.txt

Test file number \(139\)

Integral number in file \(149\)

2.2.47.27 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^2(a+i \log (x))}{x^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(cot(a+I*log(x))^2/x^3,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.5_x^m_trig-a+b_log-c_x^n-^p.txt

Test file number \(139\)

Integral number in file \(200\)

2.2.47.28 Maxima [F(-2)]

Exception generated. \[ \int \frac {x \cos (x)}{(a+b \sin (x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x*cos(x)/(a+b*sin(x))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(153\)

2.2.47.29 Maxima [F(-2)]

Exception generated. \[ \int \frac {x \cos (x)}{(a+b \sin (x))^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x*cos(x)/(a+b*sin(x))^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(154\)

2.2.47.30 Maxima [F(-2)]

Exception generated. \[ \int \frac {x \sin (x)}{(a+b \cos (x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x*sin(x)/(a+b*cos(x))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(155\)

2.2.47.31 Maxima [F(-2)]

Exception generated. \[ \int \frac {x \sin (x)}{(a+b \cos (x))^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x*sin(x)/(a+b*cos(x))^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(156\)

2.2.47.32 Maxima [F(-2)]

Exception generated. \[ \int \frac {x (b+a \sin (x))}{(a+b \sin (x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x*(b+a*sin(x))/(a+b*sin(x))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(199\)

2.2.47.33 Maxima [F(-2)]

Exception generated. \[ \int \frac {x (b+a \cos (x))}{(a+b \cos (x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x*(b+a*cos(x))/(a+b*cos(x))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(200\)

2.2.47.34 Maxima [F(-2)]

Exception generated. \[ \int \frac {-1+\frac {c^2}{d^2}+\sin ^2(x)}{c+d \cos (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((-1+c^2/d^2+sin(x)^2)/(c+d*cos(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*d^2-4*c^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(205\)

2.2.47.35 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sin ^2(x)}{c+d \cos (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*sin(x)^2)/(c+d*cos(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*d^2-4*c^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(206\)

2.2.47.36 Maxima [F(-2)]

Exception generated. \[ \int \frac {-1+\frac {c^2}{d^2}+\cos ^2(x)}{c+d \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((-1+c^2/d^2+cos(x)^2)/(c+d*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*d^2-4*c^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(210\)

2.2.47.37 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \cos ^2(x)}{c+d \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*cos(x)^2)/(c+d*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*d^2-4*c^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(211\)

2.2.47.38 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^2(x)}{c+d \cos (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*sec(x)^2)/(c+d*cos(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*d^2-4*c^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(215\)

2.2.47.39 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \csc ^2(x)}{c+d \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*csc(x)^2)/(c+d*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*d^2-4*c^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(216\)

2.2.47.40 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a \sec (x)+b \tan (x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a*sec(x)+b*tan(x))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(269\)

2.2.47.41 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a \sec (x)+b \tan (x))^4} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a*sec(x)+b*tan(x))^4,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(271\)

2.2.47.42 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a \cot (x)+b \csc (x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a*cot(x)+b*csc(x))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(289\)

2.2.47.43 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a \cot (x)+b \csc (x))^4} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a*cot(x)+b*csc(x))^4,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(291\)

2.2.47.44 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(b*cos(e*x+d)+c*sin(e*x+d)+(b^2+c^2)^(1/2))^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(360\)

2.2.47.45 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(b*cos(e*x+d)+c*sin(e*x+d)+(b^2+c^2)^(1/2))^3,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(361\)

2.2.47.46 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^4} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(b*cos(e*x+d)+c*sin(e*x+d)+(b^2+c^2)^(1/2))^4,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(362\)

2.2.47.47 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{a+b \cos (d+e x)+c \sin (d+e x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a+b*cos(e*x+d)+c*sin(e*x+d)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(399\)

2.2.47.48 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \cos (d+e x)+c \sin (d+e x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a+b*cos(e*x+d)+c*sin(e*x+d))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(400\)

2.2.47.49 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \cos (d+e x)+c \sin (d+e x))^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a+b*cos(e*x+d)+c*sin(e*x+d))^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(401\)

2.2.47.50 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \cos (d+e x)+c \sin (d+e x))^4} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a+b*cos(e*x+d)+c*sin(e*x+d))^4,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(402\)

2.2.47.51 Maxima [F(-2)]

Exception generated. \[ \int \left (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{7/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((b*cos(e*x+d)+c*sin(e*x+d)+(b^2+c^2)^(1/2))^(7/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(430\)

2.2.47.52 Maxima [F(-2)]

Exception generated. \[ \int \left (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{5/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((b*cos(e*x+d)+c*sin(e*x+d)+(b^2+c^2)^(1/2))^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(431\)

2.2.47.53 Maxima [F(-2)]

Exception generated. \[ \int \left (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{3/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((b*cos(e*x+d)+c*sin(e*x+d)+(b^2+c^2)^(1/2))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(432\)

2.2.47.54 Maxima [F(-2)]

Exception generated. \[ \int \sqrt {\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((b*cos(e*x+d)+c*sin(e*x+d)+(b^2+c^2)^(1/2))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(433\)

2.2.47.55 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(b*cos(e*x+d)+c*sin(e*x+d)+(b^2+c^2)^(1/2))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(434\)

2.2.47.56 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(b*cos(e*x+d)+c*sin(e*x+d)+(b^2+c^2)^(1/2))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(435\)

2.2.47.57 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(b*cos(e*x+d)+c*sin(e*x+d)+(b^2+c^2)^(1/2))^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(436\)

2.2.47.58 Maxima [F(-2)]

Exception generated. \[ \int \left (-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{5/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((b*cos(e*x+d)+c*sin(e*x+d)-(b^2+c^2)^(1/2))^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(437\)

2.2.47.59 Maxima [F(-2)]

Exception generated. \[ \int \left (-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{3/2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((b*cos(e*x+d)+c*sin(e*x+d)-(b^2+c^2)^(1/2))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(438\)

2.2.47.60 Maxima [F(-2)]

Exception generated. \[ \int \sqrt {-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((b*cos(e*x+d)+c*sin(e*x+d)-(b^2+c^2)^(1/2))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(439\)

2.2.47.61 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(b*cos(e*x+d)+c*sin(e*x+d)-(b^2+c^2)^(1/2))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(440\)

2.2.47.62 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(b*cos(e*x+d)+c*sin(e*x+d)-(b^2+c^2)^(1/2))^(3/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(441\)

2.2.47.63 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/(b*cos(e*x+d)+c*sin(e*x+d)-(b^2+c^2)^(1/2))^(5/2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(442\)

2.2.47.64 Maxima [F(-2)]

Exception generated. \[ \int \frac {\sin (x)}{a+b \cos (x)+c \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(sin(x)/(a+b*cos(x)+c*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(443\)

2.2.47.65 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{a+c \sec (x)+b \tan (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a+c*sec(x)+b*tan(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2-b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(445\)

2.2.47.66 Maxima [F(-2)]

Exception generated. \[ \int \frac {\sec (x)}{a+c \sec (x)+b \tan (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(sec(x)/(a+c*sec(x)+b*tan(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2-b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(446\)

2.2.47.67 Maxima [F(-2)]

Exception generated. \[ \int \frac {\sec ^2(x)}{a+c \sec (x)+b \tan (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(sec(x)^2/(a+c*sec(x)+b*tan(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2-b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(447\)

2.2.47.68 Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{a+b \cot (x)+c \csc (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(1/(a+b*cot(x)+c*csc(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2-b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(458\)

2.2.47.69 Maxima [F(-2)]

Exception generated. \[ \int \frac {\csc (x)}{a+b \cot (x)+c \csc (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(csc(x)/(a+b*cot(x)+c*csc(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2-b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(459\)

2.2.47.70 Maxima [F(-2)]

Exception generated. \[ \int \frac {\csc ^2(x)}{a+b \cot (x)+c \csc (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(csc(x)^2/(a+b*cot(x)+c*csc(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2-b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(460\)

2.2.47.71 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sin (d+e x)}{b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*sin(e*x+d))/(b^2+2*a*b*sin(e*x+d)+a^2*sin(e*x+d)^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(501\)

2.2.47.72 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sin (d+e x)}{\left (b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*sin(e*x+d))/(b^2+2*a*b*sin(e*x+d)+a^2*sin(e*x+d)^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(502\)

2.2.47.73 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sin (d+e x)}{\sqrt {b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*sin(e*x+d))/(b^2+2*a*b*sin(e*x+d)+a^2*sin(e*x+d)^2)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(506\)

2.2.47.74 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sin (d+e x)}{\left (b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*sin(e*x+d))/(b^2+2*a*b*sin(e*x+d)+a^2*sin(e*x+d)^2)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(507\)

2.2.47.75 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \cos (x)}{b^2+2 a b \cos (x)+a^2 \cos ^2(x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*cos(x))/(b^2+2*a*b*cos(x)+a^2*cos(x)^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(508\)

2.2.47.76 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec (d+e x)}{b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*sec(e*x+d))/(b^2+2*a*b*sec(e*x+d)+a^2*sec(e*x+d)^2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(520\)

2.2.47.77 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec (d+e x)}{\left (b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)\right )^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*sec(e*x+d))/(b^2+2*a*b*sec(e*x+d)+a^2*sec(e*x+d)^2)^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(521\)

2.2.47.78 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec (d+e x)}{\sqrt {b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*sec(e*x+d))/(b^2+2*a*b*sec(e*x+d)+a^2*sec(e*x+d)^2)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(524\)

2.2.47.79 Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec (d+e x)}{\left (b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*sec(e*x+d))/(b^2+2*a*b*sec(e*x+d)+a^2*sec(e*x+d)^2)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(525\)

2.2.47.80 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos (x)-i \sin (x)}{\cos (x)+i \sin (x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((cos(x)-I*sin(x))/(cos(x)+I*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(526\)

2.2.47.81 Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos (x)+i \sin (x)}{\cos (x)-i \sin (x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((cos(x)+I*sin(x))/(cos(x)-I*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(527\)

2.2.47.82 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \cos (x)}{a+b \cos (x)+c \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*cos(x))/(a+b*cos(x)+c*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(535\)

2.2.47.83 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \cos (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*cos(x))/(a+b*cos(x)+c*sin(x))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(536\)

2.2.47.84 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \cos (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*cos(x))/(a+b*cos(x)+c*sin(x))^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(537\)

2.2.47.85 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \cos (x)}{a+b \cos (x)+i b \sin (x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((A+B*cos(x))/(a+b*cos(x)+I*b*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(538\)

2.2.47.86 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \cos (x)}{a+b \cos (x)-i b \sin (x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((A+B*cos(x))/(a+b*cos(x)-I*b*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(539\)

2.2.47.87 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+C \sin (x)}{a+b \cos (x)+c \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+C*sin(x))/(a+b*cos(x)+c*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(540\)

2.2.47.88 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+C \sin (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+C*sin(x))/(a+b*cos(x)+c*sin(x))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(541\)

2.2.47.89 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+C \sin (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+C*sin(x))/(a+b*cos(x)+c*sin(x))^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(542\)

2.2.47.90 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+C \sin (x)}{a+b \cos (x)+i b \sin (x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((A+C*sin(x))/(a+b*cos(x)+I*b*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(543\)

2.2.47.91 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+C \sin (x)}{a+b \cos (x)-i b \sin (x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((A+C*sin(x))/(a+b*cos(x)-I*b*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(544\)

2.2.47.92 Maxima [F(-2)]

Exception generated. \[ \int \frac {B \cos (x)+C \sin (x)}{a+b \cos (x)+c \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((B*cos(x)+C*sin(x))/(a+b*cos(x)+c*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(545\)

2.2.47.93 Maxima [F(-2)]

Exception generated. \[ \int \frac {B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((B*cos(x)+C*sin(x))/(a+b*cos(x)+c*sin(x))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(546\)

2.2.47.94 Maxima [F(-2)]

Exception generated. \[ \int \frac {B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((B*cos(x)+C*sin(x))/(a+b*cos(x)+c*sin(x))^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(547\)

2.2.47.95 Maxima [F(-2)]

Exception generated. \[ \int \frac {B \cos (x)+C \sin (x)}{a+b \cos (x)+i b \sin (x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((B*cos(x)+C*sin(x))/(a+b*cos(x)+I*b*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(548\)

2.2.47.96 Maxima [F(-2)]

Exception generated. \[ \int \frac {B \cos (x)+C \sin (x)}{a+b \cos (x)-i b \sin (x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((B*cos(x)+C*sin(x))/(a+b*cos(x)-I*b*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(549\)

2.2.47.97 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \cos (x)+C \sin (x)}{a+b \cos (x)+c \sin (x)} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*cos(x)+C*sin(x))/(a+b*cos(x)+c*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(550\)

2.2.47.98 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*cos(x)+C*sin(x))/(a+b*cos(x)+c*sin(x))^2,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(551\)

2.2.47.99 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((A+B*cos(x)+C*sin(x))/(a+b*cos(x)+c*sin(x))^3,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2+b^2-a^2>0)', see `assume?`
for more de

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(552\)

2.2.47.100 Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B \cos (x)+C \sin (x)}{a+b \cos (x)+i b \sin (x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((A+B*cos(x)+C*sin(x))/(a+b*cos(x)+I*b*sin(x)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negative exponent.

input file name 4_Trig_functions/4.7_Miscellaneous/4.7.7_Trig_functions.txt

Test file number \(141\)

Integral number in file \(553\)