Integrals 6101 to 6200

Maxima [F(-2)]

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

integrate(x^(3/2)/(a+b*csc(c+d*x^(1/2)))^2,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.6_Cosecant/250_4.6.11

Test file number \(250\)

Integral number in file \(67\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.6_Cosecant/250_4.6.11

Test file number \(250\)

Integral number in file \(68\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.6_Cosecant/250_4.6.11

Test file number \(250\)

Integral number in file \(69\)

Maxima [F(-2)]

Exception generated. \[ \int F^{c (a+b x)} \sqrt {f \sin (d+e x)} \sqrt {g \sin (d+e x)} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(F^(c*(b*x+a))*(f*sin(e*x+d))^(1/2)*(g*sin(e*x+d))^(1/2),x, algor 
ithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((2*%i*e)/(log(F)*b*c>0)', see `a 
ssume?` fo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.7_Trig_exponential/252_4.7.2

Test file number \(252\)

Integral number in file \(129\)

Maxima [F(-2)]

Exception generated. \[ \int F^{c (a+b x)} \sqrt {f \cos (d+e x)} \sqrt {g \cos (d+e x)} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(F^(c*(b*x+a))*(f*cos(e*x+d))^(1/2)*(g*cos(e*x+d))^(1/2),x, algor 
ithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((2*%i*e)/(log(F)*b*c>0)', see `a 
ssume?` fo
 

input file name test_cases/rubi_tests/4_Trig_functions/4.7_Trig_exponential/252_4.7.2

Test file number \(252\)

Integral number in file \(132\)

Maxima [F(-2)]

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

integrate(exp(5/3*a+5/3*I*b*x)/(g*cos(b*x+d)+f*sin(b*x+d)),x, algorithm="m 
axima")
 

Output:

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imagi 
nary; found %i
 

input file name test_cases/rubi_tests/4_Trig_functions/4.7_Trig_exponential/253_4.7.3

Test file number \(253\)

Integral number in file \(19\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {5}{3} (a+i b x)}}{(g \cos (d+b x)+f \sin (d+b x))^2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(exp(5/3*a+5/3*I*b*x)/(g*cos(b*x+d)+f*sin(b*x+d))^2,x, algorithm= 
"maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imagi 
nary; found %i
 

input file name test_cases/rubi_tests/4_Trig_functions/4.7_Trig_exponential/253_4.7.3

Test file number \(253\)

Integral number in file \(20\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imagi 
nary; found %i
 

input file name test_cases/rubi_tests/4_Trig_functions/4.7_Trig_exponential/253_4.7.3

Test file number \(253\)

Integral number in file \(21\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(74\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(75\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(76\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(77\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(121\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(122\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(127\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(128\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(132\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(133\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(137\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(138\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(242\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(244\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(262\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(264\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(287\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(288\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(289\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(326\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(327\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(328\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(329\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(357\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(358\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(359\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(360\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(361\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(362\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(363\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(364\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(365\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(366\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(367\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(368\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(369\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(370\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(372\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(373\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(374\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(385\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(386\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(387\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(444\)

Maxima [F(-2)]

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

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, al 
gorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(445\)

Maxima [F(-2)]

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

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")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(449\)

Maxima [F(-2)]

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

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")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(450\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(451\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(463\)

Maxima [F(-2)]

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

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, al 
gorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(464\)

Maxima [F(-2)]

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

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")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(467\)

Maxima [F(-2)]

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

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")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(468\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(469\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(470\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(478\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(479\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(480\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(481\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(482\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(483\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(484\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(485\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(486\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(487\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(488\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(489\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(490\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(491\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(492\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(493\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(494\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(495\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(496\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(497\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(498\)

Maxima [F(-2)]

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

integrate((A+B*cos(e*x+d)+C*sin(e*x+d))/(a+c*sin(e*x+d)),x, algorithm="max 
ima")
                                                                                    
                                                                                    
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(505\)

Maxima [F(-2)]

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

integrate((A+B*cos(e*x+d)+C*sin(e*x+d))/(a+c*sin(e*x+d))^2,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(506\)

Maxima [F(-2)]

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

integrate((A+B*cos(e*x+d)+C*sin(e*x+d))/(a+c*sin(e*x+d))^3,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(507\)

Maxima [F(-2)]

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

integrate((A+B*cos(e*x+d)+C*sin(e*x+d))/(a+c*sin(e*x+d))^4,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(508\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(513\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(514\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(515\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sin ^6(a x)}{x^4 (a x \cos (a x)-\sin (a x))^2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(sin(a*x)^6/x^4/(a*x*cos(a*x)-sin(a*x))^2,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(528\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sin ^5(a x)}{x^3 (a x \cos (a x)-\sin (a x))^2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(sin(a*x)^5/x^3/(a*x*cos(a*x)-sin(a*x))^2,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(529\)

Maxima [F(-2)]

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

integrate(sin(a*x)^4/x^2/(a*x*cos(a*x)-sin(a*x))^2,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(530\)

Maxima [F(-2)]

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

integrate(sin(a*x)^3/x/(a*x*cos(a*x)-sin(a*x))^2,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(531\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3 \csc (a x)}{(a x \cos (a x)-\sin (a x))^2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^3*csc(a*x)/(a*x*cos(a*x)-sin(a*x))^2,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(535\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^6(a x)}{x^4 (\cos (a x)+a x \sin (a x))^2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(cos(a*x)^6/x^4/(cos(a*x)+a*x*sin(a*x))^2,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(537\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^5(a x)}{x^3 (\cos (a x)+a x \sin (a x))^2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(cos(a*x)^5/x^3/(cos(a*x)+a*x*sin(a*x))^2,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(538\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(539\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(540\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(544\)