Integrals 4301 to 4400

Maxima [F(-2)]

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

integrate(csc(x)^2/(a+b*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*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(182\)

Maxima [F(-2)]

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

integrate(csc(x)^3/(a+b*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*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(183\)

Maxima [F(-2)]

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

integrate(csc(x)^4/(a+b*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*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(184\)

Maxima [F(-2)]

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

integrate(sin(x)^4/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(185\)

Maxima [F(-2)]

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

integrate(sin(x)^3/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(186\)

Maxima [F(-2)]

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

integrate(sin(x)^2/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(187\)

Maxima [F(-2)]

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

integrate(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(188\)

Maxima [F(-2)]

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

integrate(1/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(189\)

Maxima [F(-2)]

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

integrate(csc(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(190\)

Maxima [F(-2)]

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

integrate(csc(x)^2/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(191\)

Maxima [F(-2)]

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

integrate(csc(x)^3/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(192\)

Maxima [F(-2)]

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

integrate(sin(x)^5/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(193\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sin ^4(x)}{(a+b \sin (x))^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(sin(x)^4/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(194\)

Maxima [F(-2)]

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

integrate(sin(x)^3/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(195\)

Maxima [F(-2)]

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

integrate(sin(x)^2/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(196\)

Maxima [F(-2)]

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

integrate(sin(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(197\)

Maxima [F(-2)]

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

integrate(1/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(198\)

Maxima [F(-2)]

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

integrate(csc(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(199\)

Maxima [F(-2)]

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

integrate(csc(x)^2/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(200\)

Maxima [F(-2)]

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

integrate(csc(x)^3/(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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(201\)

Maxima [F(-2)]

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

integrate(1/(a+b*sin(d*x+c))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(202\)

Maxima [F(-2)]

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

integrate((a+a*sin(f*x+e))/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(438\)

Maxima [F(-2)]

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

integrate((a+a*sin(f*x+e))/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(439\)

Maxima [F(-2)]

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

integrate((a+a*sin(f*x+e))/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(440\)

Maxima [F(-2)]

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

integrate((a+a*sin(f*x+e))/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(441\)

Maxima [F(-2)]

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

integrate((a+a*sin(f*x+e))^2/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(447\)

Maxima [F(-2)]

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

integrate((a+a*sin(f*x+e))^2/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(448\)

Maxima [F(-2)]

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

integrate((a+a*sin(f*x+e))^2/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(449\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+a \sin (e+f x))^2}{(c+d \sin (e+f x))^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+a*sin(f*x+e))^2/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(450\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+a \sin (e+f x))^2}{(c+d \sin (e+f x))^5} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+a*sin(f*x+e))^2/(c+d*sin(f*x+e))^5,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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(451\)

Maxima [F(-2)]

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

integrate((a+a*sin(f*x+e))^3/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(456\)

Maxima [F(-2)]

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

integrate((a+a*sin(f*x+e))^3/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(457\)

Maxima [F(-2)]

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

integrate((a+a*sin(f*x+e))^3/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(458\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+a \sin (e+f x))^3}{(c+d \sin (e+f x))^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+a*sin(f*x+e))^3/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(459\)

Maxima [F(-2)]

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

integrate((a+a*sin(f*x+e))^3/(c+d*sin(f*x+e))^5,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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(460\)

Maxima [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(466\)

Maxima [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(467\)

Maxima [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(468\)

Maxima [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))^2/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(475\)

Maxima [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))^2/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(476\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+a \sin (e+f x))^2 (c+d \sin (e+f x))^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/(a+a*sin(f*x+e))^2/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(477\)

Maxima [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))^3/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(485\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+a \sin (e+f x))^3 (c+d \sin (e+f x))^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/(a+a*sin(f*x+e))^3/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(486\)

Maxima [F(-2)]

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

integrate(1/(a+a*sin(f*x+e))^3/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(487\)

Maxima [F(-2)]

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

integrate((a+b*sin(f*x+e))/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(682\)

Maxima [F(-2)]

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

integrate((a+b*sin(f*x+e))/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(683\)

Maxima [F(-2)]

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

integrate((a+b*sin(f*x+e))/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(684\)

Maxima [F(-2)]

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

integrate((a+b*sin(f*x+e))^2/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(689\)

Maxima [F(-2)]

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

integrate((a+b*sin(f*x+e))^2/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(690\)

Maxima [F(-2)]

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

integrate((a+b*sin(f*x+e))^2/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(691\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \sin (e+f x))^2}{(c+d \sin (e+f x))^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*sin(f*x+e))^2/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(692\)

Maxima [F(-2)]

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

integrate((a+b*sin(f*x+e))^3/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(697\)

Maxima [F(-2)]

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

integrate((a+b*sin(f*x+e))^3/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(698\)

Maxima [F(-2)]

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

integrate((a+b*sin(f*x+e))^3/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(699\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \sin (e+f x))^3}{(c+d \sin (e+f x))^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*sin(f*x+e))^3/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(700\)

Maxima [F(-2)]

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

integrate((b*B/a+B*sin(x))/(a+b*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*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(701\)

Maxima [F(-2)]

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

integrate((a*B/b+B*sin(x))/(a+b*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*b^2-4*a^2>0)', see `assume?` f 
or more de
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(702\)

Maxima [F(-2)]

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

integrate((a+b*sin(x))/(b+a*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*a^2-4*b^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(703\)

Maxima [F(-2)]

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

integrate((c+d*sin(f*x+e))^4/(a+b*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(705\)

Maxima [F(-2)]

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

integrate((c+d*sin(f*x+e))^3/(a+b*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(706\)

Maxima [F(-2)]

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

integrate((c+d*sin(f*x+e))^2/(a+b*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(707\)

Maxima [F(-2)]

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

integrate((c+d*sin(f*x+e))/(a+b*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(708\)

Maxima [F(-2)]

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

integrate(1/(a+b*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(709\)

Maxima [F(-2)]

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

integrate(1/(a+b*sin(f*x+e))/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(710\)

Maxima [F(-2)]

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

integrate(1/(a+b*sin(f*x+e))/(c+d*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(711\)

Maxima [F(-2)]

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

integrate(1/(a+b*sin(f*x+e))/(c+d*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(712\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c+d \sin (e+f x))^4}{(a+b \sin (e+f x))^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((c+d*sin(f*x+e))^4/(a+b*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(713\)

Maxima [F(-2)]

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

integrate((c+d*sin(f*x+e))^3/(a+b*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(714\)

Maxima [F(-2)]

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

integrate((c+d*sin(f*x+e))^2/(a+b*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(715\)

Maxima [F(-2)]

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

integrate((c+d*sin(f*x+e))/(a+b*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(716\)

Maxima [F(-2)]

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

integrate(1/(a+b*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(717\)

Maxima [F(-2)]

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

integrate(1/(a+b*sin(f*x+e))^2/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(718\)

Maxima [F(-2)]

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

integrate(1/(a+b*sin(f*x+e))^2/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(719\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \sin (e+f x))^2 (c+d \sin (e+f x))^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/(a+b*sin(f*x+e))^2/(c+d*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(720\)

Maxima [F(-2)]

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

integrate((c+d*sin(f*x+e))^5/(a+b*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(721\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c+d \sin (e+f x))^4}{(a+b \sin (e+f x))^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((c+d*sin(f*x+e))^4/(a+b*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(722\)

Maxima [F(-2)]

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

integrate((c+d*sin(f*x+e))^3/(a+b*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(723\)

Maxima [F(-2)]

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

integrate((c+d*sin(f*x+e))^2/(a+b*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(724\)

Maxima [F(-2)]

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

integrate((c+d*sin(f*x+e))/(a+b*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(725\)

Maxima [F(-2)]

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

integrate(1/(a+b*sin(f*x+e))^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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(726\)

Maxima [F(-2)]

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

integrate(1/(a+b*sin(f*x+e))^3/(c+d*sin(f*x+e)),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/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(727\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(a+b \sin (e+f x))^3 (c+d \sin (e+f x))^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/(a+b*sin(f*x+e))^3/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(728\)

Maxima [F(-2)]

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

integrate(1/(a+b*sin(f*x+e))^3/(c+d*sin(f*x+e))^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*d^2-4*c^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/182_4.1.2.1

Test file number \(182\)

Integral number in file \(729\)

Maxima [F(-2)]

Exception generated. \[ \int (g \cos (e+f x))^{-1-m-n} (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-1+n} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((g*cos(f*x+e))^(-1-m-n)*(a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(-1+ 
n),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/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(186\)

Maxima [F(-2)]

Exception generated. \[ \int (g \cos (e+f x))^{-1-m-n} (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-2+n} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((g*cos(f*x+e))^(-1-m-n)*(a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(-2+ 
n),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/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(187\)

Maxima [F(-2)]

Exception generated. \[ \int (g \cos (e+f x))^{-1-m-n} (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-3+n} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((g*cos(f*x+e))^(-1-m-n)*(a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(-3+ 
n),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/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(188\)

Maxima [F(-2)]

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

integrate(cos(d*x+c)^2*sin(d*x+c)^3/(a+b*sin(d*x+c))^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*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1074\)

Maxima [F(-2)]

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

integrate(cos(d*x+c)^2*sin(d*x+c)^2/(a+b*sin(d*x+c))^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*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1075\)

Maxima [F(-2)]

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

integrate(cos(d*x+c)^2*sin(d*x+c)/(a+b*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(4*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1076\)

Maxima [F(-2)]

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

integrate(cos(d*x+c)*cot(d*x+c)/(a+b*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(4*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1077\)

Maxima [F(-2)]

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

integrate(cot(d*x+c)^2/(a+b*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(4*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1078\)

Maxima [F(-2)]

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

integrate(cot(d*x+c)^2*csc(d*x+c)/(a+b*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(4*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1079\)

Maxima [F(-2)]

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

integrate(cot(d*x+c)^2*csc(d*x+c)^2/(a+b*sin(d*x+c))^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*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1080\)

Maxima [F(-2)]

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

integrate(cos(d*x+c)^2*sin(d*x+c)^3/(a+b*sin(d*x+c))^3,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*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1081\)

Maxima [F(-2)]

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

integrate(cos(d*x+c)^2*sin(d*x+c)^2/(a+b*sin(d*x+c))^3,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*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1082\)

Maxima [F(-2)]

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

integrate(cos(d*x+c)^2*sin(d*x+c)/(a+b*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(4*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1083\)

Maxima [F(-2)]

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

integrate(cos(d*x+c)*cot(d*x+c)/(a+b*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(4*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1084\)

Maxima [F(-2)]

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

integrate(cot(d*x+c)^2/(a+b*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(4*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1085\)

Maxima [F(-2)]

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

integrate(cot(d*x+c)^2*csc(d*x+c)/(a+b*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(4*b^2-4*a^2>0)', see `assume?` f 
or more de
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1086\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cos ^4(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(cos(d*x+c)^4*sin(d*x+c)^3/(a+b*sin(d*x+c))^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*b^2-4*a^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.1_Sine/183_4.1.2.2

Test file number \(183\)

Integral number in file \(1123\)