Integrals 6101 to 6200

Maxima [F(-2)]

Exception generated. $$\int \frac{x^{3/2}}{{(a+b\csc (c+d\sqrt{x}))}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{x}}{{(a+b\csc (c+d\sqrt{x}))}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{1}{\sqrt{x}{(a+b\csc (c+d\sqrt{x}))}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int F^{c(a+bx)}\sqrt{f\sin (d+ex)}\sqrt{g\sin (d+ex)}dx=\text{Exception raised: ValueError}$$ 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. $$\int F^{c(a+bx)}\sqrt{f\cos (d+ex)}\sqrt{g\cos (d+ex)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{e^{\frac{5}{3}(a+ibx)}}{g\cos (d+bx)+f\sin (d+bx)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{e^{\frac{5}{3}(a+ibx)}}{(g\cos (d+bx)+f\sin (d+bx){)}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{e^{\frac{5}{3}(a+ibx)}}{(g\cos (d+bx)+f\sin (d+bx){)}^3}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^3}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^4}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{a+b\cos (d+ex)+c\sin (d+ex)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{1}{(a+b\cos (d+ex)+c\sin (d+ex){)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{1}{(a+b\cos (d+ex)+c\sin (d+ex){)}^3}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{1}{(a+b\cos (d+ex)+c\sin (d+ex){)}^4}dx=\text{Exception raised: ValueError}$$ 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. $$\int {(\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^{7/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int {(\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^{5/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int {(\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^{3/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \sqrt{\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{\sqrt{\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex)}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int {(-\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^{5/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int {(-\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^{3/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \sqrt{-\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{\sqrt{-\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex)}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(-\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(-\sqrt{b^2+c^2}+b\cos (d+ex)+c\sin (d+ex))}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{a+b\sin (d+ex)}{b^2+2ab\sin (d+ex)+a^2{\sin }^2(d+ex)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\sin (d+ex)}{{(b^2+2ab\sin (d+ex)+a^2{\sin }^2(d+ex))}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\sin (d+ex)}{\sqrt{b^2+2ab\sin (d+ex)+a^2{\sin }^2(d+ex)}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\sin (d+ex)}{{(b^2+2ab\sin (d+ex)+a^2{\sin }^2(d+ex))}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\cos (x)}{b^2+2ab\cos (x)+a^2{\cos }^2(x)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\sec (d+ex)}{b^2+2ab\sec (d+ex)+a^2{\sec }^2(d+ex)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\sec (d+ex)}{{(b^2+2ab\sec (d+ex)+a^2{\sec }^2(d+ex))}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\sec (d+ex)}{\sqrt{b^2+2ab\sec (d+ex)+a^2{\sec }^2(d+ex)}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\sec (d+ex)}{{(b^2+2ab\sec (d+ex)+a^2{\sec }^2(d+ex))}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{A+B\cos (x)}{a+b\cos (x)+ib\sin (x)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{A+B\cos (x)}{a+b\cos (x)-ib\sin (x)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{A+C\sin (x)}{a+b\cos (x)+ib\sin (x)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{A+C\sin (x)}{a+b\cos (x)-ib\sin (x)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{B\cos (x)+C\sin (x)}{a+b\cos (x)+ib\sin (x)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{B\cos (x)+C\sin (x)}{a+b\cos (x)-ib\sin (x)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{A+B\cos (x)+C\sin (x)}{a+b\cos (x)+ib\sin (x)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{A+B\cos (x)+C\sin (x)}{a+b\cos (x)-ib\sin (x)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{b^2+c^2+ab\cos (x)+ac\sin (x)}{(a+b\cos (x)+c\sin (x){)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{A+B\cos (d+ex)+C\sin (d+ex)}{a+c\sin (d+ex)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{A+B\cos (d+ex)+C\sin (d+ex)}{(a+c\sin (d+ex){)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{A+B\cos (d+ex)+C\sin (d+ex)}{(a+c\sin (d+ex){)}^3}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{A+B\cos (d+ex)+C\sin (d+ex)}{(a+c\sin (d+ex){)}^4}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{1}{a+b\cos (c+dx)\sin (c+dx)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{1}{(a+b\cos (c+dx)\sin (c+dx){)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{1}{(a+b\cos (c+dx)\sin (c+dx){)}^3}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{\sin }^6(ax)}{x^4(ax\cos (ax)-\sin (ax){)}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{\sin }^5(ax)}{x^3(ax\cos (ax)-\sin (ax){)}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{\sin }^4(ax)}{x^2(ax\cos (ax)-\sin (ax){)}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{\sin }^3(ax)}{x(ax\cos (ax)-\sin (ax){)}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{x^3\csc (ax)}{(ax\cos (ax)-\sin (ax){)}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{\cos }^6(ax)}{x^4(\cos (ax)+ax\sin (ax){)}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{\cos }^5(ax)}{x^3(\cos (ax)+ax\sin (ax){)}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{\cos }^4(ax)}{x^2(\cos (ax)+ax\sin (ax){)}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{\cos }^3(ax)}{x(\cos (ax)+ax\sin (ax){)}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{x^3\sec (ax)}{(\cos (ax)+ax\sin (ax){)}^2}dx=\text{Exception raised: RuntimeError}$$ 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 $544$