Integrals 5701 to 5800

Maxima [F(-2)]

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

integrate((a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(5/2),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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(60\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \cot (c+d x))^2}{(e \cot (c+d x))^{7/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(7/2),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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(61\)

Maxima [F(-2)]

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

integrate((e*cot(d*x+c))^(3/2)*(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(62\)

Maxima [F(-2)]

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

integrate((e*cot(d*x+c))^(1/2)*(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(63\)

Maxima [F(-2)]

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

integrate((a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(64\)

Maxima [F(-2)]

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

integrate((a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(65\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \cot (c+d x))^3}{(e \cot (c+d x))^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(5/2),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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(66\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \cot (c+d x))^3}{(e \cot (c+d x))^{7/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(7/2),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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(67\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \cot (c+d x))^3}{(e \cot (c+d x))^{9/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(9/2),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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(68\)

Maxima [F(-2)]

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

integrate((e*cot(d*x+c))^(5/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(69\)

Maxima [F(-2)]

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

integrate((e*cot(d*x+c))^(3/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(70\)

Maxima [F(-2)]

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

integrate((e*cot(d*x+c))^(1/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(71\)

Maxima [F(-2)]

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

integrate(1/(e*cot(d*x+c))^(1/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(72\)

Maxima [F(-2)]

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

integrate(1/(e*cot(d*x+c))^(3/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(73\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{(e \cot (c+d x))^{5/2} (a+b \cot (c+d x))} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/(e*cot(d*x+c))^(5/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(74\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(e \cot (c+d x))^{7/2}}{(a+b \cot (c+d x))^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*cot(d*x+c))^(7/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(75\)

Maxima [F(-2)]

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

integrate((e*cot(d*x+c))^(5/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(76\)

Maxima [F(-2)]

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

integrate((e*cot(d*x+c))^(3/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(77\)

Maxima [F(-2)]

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

integrate((e*cot(d*x+c))^(1/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(78\)

Maxima [F(-2)]

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

integrate(1/(e*cot(d*x+c))^(1/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(79\)

Maxima [F(-2)]

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

integrate(1/(e*cot(d*x+c))^(3/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(80\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(e \cot (c+d x))^{9/2}}{(a+b \cot (c+d x))^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*cot(d*x+c))^(9/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(81\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(e \cot (c+d x))^{7/2}}{(a+b \cot (c+d x))^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*cot(d*x+c))^(7/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(82\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(e \cot (c+d x))^{5/2}}{(a+b \cot (c+d x))^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*cot(d*x+c))^(5/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(83\)

Maxima [F(-2)]

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

integrate((e*cot(d*x+c))^(3/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(84\)

Maxima [F(-2)]

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

integrate((e*cot(d*x+c))^(1/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(85\)

Maxima [F(-2)]

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

integrate(1/(e*cot(d*x+c))^(1/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(86\)

Maxima [F(-2)]

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

integrate(1/(e*cot(d*x+c))^(3/2)/(a+b*cot(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(87\)

Maxima [F(-2)]

Exception generated. \[ \int (a+b \cot (e+f x))^m (d \tan (e+f x))^n \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((a+b*cot(f*x+e))^m*(d*tan(f*x+e))^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/4.4_Cotangent/227_4.4.2.1

Test file number \(227\)

Integral number in file \(89\)

Maxima [F(-2)]

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

integrate(cot(x)^3*(a+b*cot(x)^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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(19\)

Maxima [F(-2)]

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

integrate(cot(x)*(a+b*cot(x)^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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(20\)

Maxima [F(-2)]

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

integrate((a+b*cot(x)^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(b-a>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(23\)

Maxima [F(-2)]

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

integrate(cot(x)^3*(a+b*cot(x)^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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(26\)

Maxima [F(-2)]

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

integrate(cot(x)*(a+b*cot(x)^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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(28\)

Maxima [F(-2)]

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

integrate((a+b*cot(d*x+c)^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(b-a>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(33\)

Maxima [F(-2)]

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

integrate(1/(a+b*cot(d*x+c)^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(b-a>0)', see `assume?` for more 
details)Is
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(34\)

Maxima [F(-2)]

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

integrate(1/(a+b*cot(d*x+c)^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(b-a>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(35\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (a+b \cot ^2(c+d x)\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/(a+b*cot(d*x+c)^2)^(5/2),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-a>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(36\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (a+b \cot ^2(c+d x)\right )^{7/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/(a+b*cot(d*x+c)^2)^(7/2),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-a>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(37\)

Maxima [F(-2)]

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

integrate(cot(x)^3/(a+b*cot(x)^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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(44\)

Maxima [F(-2)]

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

integrate(cot(x)/(a+b*cot(x)^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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(46\)

Maxima [F(-2)]

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

integrate(cot(x)^3/(a+b*cot(x)^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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(49\)

Maxima [F(-2)]

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

integrate(cot(x)^2/(a+b*cot(x)^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(b-a>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(50\)

Maxima [F(-2)]

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

integrate(cot(x)/(a+b*cot(x)^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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(51\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^3(x)}{\left (a+b \cot ^2(x)\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(cot(x)^3/(a+b*cot(x)^2)^(5/2),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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(54\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^2(x)}{\left (a+b \cot ^2(x)\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(cot(x)^2/(a+b*cot(x)^2)^(5/2),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-a>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(55\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot (x)}{\left (a+b \cot ^2(x)\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(cot(x)/(a+b*cot(x)^2)^(5/2),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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number \(228\)

Integral number in file \(56\)

Maxima [F(-2)]

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

integrate(cot(e*x+d)/(a+b*cot(e*x+d)+c*cot(e*x+d)^2)^(1/2),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*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(3\)

Maxima [F(-2)]

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

integrate((a+b*cot(e*x+d)+c*cot(e*x+d)^2)^(1/2)*tan(e*x+d),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((c-b-a)*(c+b-a)>0)', see `assume 
?` for mor
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(8\)

Maxima [F(-2)]

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

integrate(cot(e*x+d)^3/(a+b*cot(e*x+d)+c*cot(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*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(12\)

Maxima [F(-2)]

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

integrate(cot(e*x+d)/(a+b*cot(e*x+d)+c*cot(e*x+d)^2)^(3/2),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*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(13\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^7(d+e x)}{\left (a+b \cot ^2(d+e x)+c \cot ^4(d+e x)\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(cot(e*x+d)^7/(a+b*cot(e*x+d)^2+c*cot(e*x+d)^4)^(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/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(26\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan (d+e x)}{\left (a+b \cot ^2(d+e x)+c \cot ^4(d+e x)\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(tan(e*x+d)/(a+b*cot(e*x+d)^2+c*cot(e*x+d)^4)^(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/4.4_Cotangent/229_4.4.9

Test file number \(229\)

Integral number in file \(30\)

Maxima [F(-2)]

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

integrate((d*x+c)^3/(a+I*a*cot(f*x+e)),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/4.4_Cotangent/230_4.4.10

Test file number \(230\)

Integral number in file \(16\)

Maxima [F(-2)]

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

integrate((d*x+c)^2/(a+I*a*cot(f*x+e)),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/4.4_Cotangent/230_4.4.10

Test file number \(230\)

Integral number in file \(17\)

Maxima [F(-2)]

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

integrate((d*x+c)/(a+I*a*cot(f*x+e)),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/4.4_Cotangent/230_4.4.10

Test file number \(230\)

Integral number in file \(18\)

Maxima [F(-2)]

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

integrate((d*x+c)^3/(a+I*a*cot(f*x+e))^2,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/4.4_Cotangent/230_4.4.10

Test file number \(230\)

Integral number in file \(22\)

Maxima [F(-2)]

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

integrate((d*x+c)^2/(a+I*a*cot(f*x+e))^2,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/4.4_Cotangent/230_4.4.10

Test file number \(230\)

Integral number in file \(23\)

Maxima [F(-2)]

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

integrate((d*x+c)/(a+I*a*cot(f*x+e))^2,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/4.4_Cotangent/230_4.4.10

Test file number \(230\)

Integral number in file \(24\)

Maxima [F(-2)]

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

integrate((d*x+c)^3/(a+I*a*cot(f*x+e))^3,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/4.4_Cotangent/230_4.4.10

Test file number \(230\)

Integral number in file \(27\)

Maxima [F(-2)]

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

integrate((d*x+c)^2/(a+I*a*cot(f*x+e))^3,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/4.4_Cotangent/230_4.4.10

Test file number \(230\)

Integral number in file \(28\)

Maxima [F(-2)]

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

integrate((d*x+c)/(a+I*a*cot(f*x+e))^3,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/4.4_Cotangent/230_4.4.10

Test file number \(230\)

Integral number in file \(29\)

Maxima [F(-2)]

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

integrate(1/sec(d*x+c)^(3/2)/(a+a*sec(d*x+c))^3,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/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(216\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sec ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/sec(d*x+c)^(5/2)/(a+a*sec(d*x+c))^(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/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(257\)

Maxima [F(-2)]

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

integrate(cos(d*x+c)^(5/2)/(a+a*sec(d*x+c))^(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/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(427\)

Maxima [F(-2)]

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

integrate(sec(d*x+c)^5/(a+b*sec(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(4*a^2-4*b^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(487\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(488\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(489\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(490\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(491\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(492\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(493\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(494\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(495\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(496\)

Maxima [F(-2)]

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

integrate(sec(d*x+c)^5/(a+b*sec(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*a^2-4*b^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(497\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(498\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(499\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(500\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(501\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(502\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(503\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(504\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(505\)

Maxima [F(-2)]

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

integrate(sec(d*x+c)^5/(a+b*sec(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*a^2-4*b^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(506\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(507\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(508\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(509\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(510\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(511\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(512\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(513\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sec ^6(c+d x)}{(a+b \sec (c+d x))^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(sec(d*x+c)^6/(a+b*sec(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*a^2-4*b^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(514\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sec ^5(c+d x)}{(a+b \sec (c+d x))^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(sec(d*x+c)^5/(a+b*sec(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*a^2-4*b^2>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(515\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(516\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(517\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(518\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(519\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(520\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/232_4.5.1.2

Test file number \(232\)

Integral number in file \(521\)