Integrals 5801 to 5900

Maxima [F(-2)]

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

integrate(cos(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 \(522\)

Maxima [F(-2)]

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

integrate(1/sec(d*x+c)^(3/2)/(a+b*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 \(627\)

Maxima [F(-2)]

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

integrate(sin(d*x+c)^6/(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(203\)

Maxima [F(-2)]

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

integrate(sin(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(204\)

Maxima [F(-2)]

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

integrate(sin(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(205\)

Maxima [F(-2)]

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

integrate(csc(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(206\)

Maxima [F(-2)]

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

integrate(csc(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(207\)

Maxima [F(-2)]

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

integrate(csc(d*x+c)^6/(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(208\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sin ^6(c+d x)}{(a+b \sec (c+d x))^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(sin(d*x+c)^6/(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(216\)

Maxima [F(-2)]

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

integrate(sin(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(217\)

Maxima [F(-2)]

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

integrate(sin(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(218\)

Maxima [F(-2)]

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

integrate(csc(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(219\)

Maxima [F(-2)]

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

integrate(csc(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(220\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sin ^6(c+d x)}{(a+b \sec (c+d x))^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(sin(d*x+c)^6/(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(228\)

Maxima [F(-2)]

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

integrate(sin(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(229\)

Maxima [F(-2)]

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

integrate(sin(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(230\)

Maxima [F(-2)]

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

integrate(csc(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(231\)

Maxima [F(-2)]

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

integrate(csc(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/233_4.5.1.3

Test file number \(233\)

Integral number in file \(232\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))*(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(104\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))*(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(105\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))*(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(106\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))/(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(107\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))/(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(108\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))/(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(109\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))/(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(110\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))^2*(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(111\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))^2*(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(112\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))^2*(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(113\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))^2/(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(114\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))^2/(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(115\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))^2/(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(116\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))^2/(e*tan(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(117\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(233\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(234\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(235\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))/(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(236\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))/(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(237\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(238\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(239\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(240\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))^2/(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(241\)

Maxima [F(-2)]

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

integrate((a+a*sec(d*x+c))^2/(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/4.5_Secant/234_4.5.1.4

Test file number \(234\)

Integral number in file \(242\)

Maxima [F(-2)]

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

integrate(tan(d*x+c)^6/(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/234_4.5.1.4

Test file number \(234\)

Integral number in file \(291\)

Maxima [F(-2)]

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

integrate(tan(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/234_4.5.1.4

Test file number \(234\)

Integral number in file \(292\)

Maxima [F(-2)]

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

integrate(tan(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/234_4.5.1.4

Test file number \(234\)

Integral number in file \(293\)

Maxima [F(-2)]

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

integrate(cot(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/234_4.5.1.4

Test file number \(234\)

Integral number in file \(294\)

Maxima [F(-2)]

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

integrate(cot(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/234_4.5.1.4

Test file number \(234\)

Integral number in file \(295\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\tan ^6(c+d x)}{(a+b \sec (c+d x))^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(tan(d*x+c)^6/(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/234_4.5.1.4

Test file number \(234\)

Integral number in file \(304\)

Maxima [F(-2)]

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

integrate(tan(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/234_4.5.1.4

Test file number \(234\)

Integral number in file \(305\)

Maxima [F(-2)]

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

integrate(tan(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/234_4.5.1.4

Test file number \(234\)

Integral number in file \(306\)

Maxima [F(-2)]

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

integrate(cot(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/234_4.5.1.4

Test file number \(234\)

Integral number in file \(307\)

Maxima [F(-2)]

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

integrate(cot(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/234_4.5.1.4

Test file number \(234\)

Integral number in file \(308\)

Maxima [F(-2)]

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

integrate((a+a*sec(f*x+e))^(5/2)/(c-c*sec(f*x+e))^(1/2),x, algorithm="maxi 
ma")
 

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/235_4.5.2.1

Test file number \(235\)

Integral number in file \(104\)

Maxima [F(-2)]

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

integrate((a+a*sec(f*x+e))^(5/2)/(c-c*sec(f*x+e))^(3/2),x, algorithm="maxi 
ma")
 

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/235_4.5.2.1

Test file number \(235\)

Integral number in file \(105\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c-c \sec (e+f x))^{7/2}}{\sqrt {a+a \sec (e+f x)}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((c-c*sec(f*x+e))^(7/2)/(a+a*sec(f*x+e))^(1/2),x, algorithm="maxi 
ma")
 

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/235_4.5.2.1

Test file number \(235\)

Integral number in file \(110\)

Maxima [F(-2)]

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

integrate((c-c*sec(f*x+e))^(5/2)/(a+a*sec(f*x+e))^(1/2),x, algorithm="maxi 
ma")
 

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/235_4.5.2.1

Test file number \(235\)

Integral number in file \(111\)

Maxima [F(-2)]

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

integrate((c-c*sec(f*x+e))^(5/2)/(a+a*sec(f*x+e))^(3/2),x, algorithm="maxi 
ma")
 

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/235_4.5.2.1

Test file number \(235\)

Integral number in file \(118\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(c-c \sec (e+f x))^{7/2}}{(a+a \sec (e+f x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((c-c*sec(f*x+e))^(7/2)/(a+a*sec(f*x+e))^(5/2),x, algorithm="maxi 
ma")
 

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/235_4.5.2.1

Test file number \(235\)

Integral number in file \(124\)

Maxima [F(-2)]

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

integrate((a+a*sec(f*x+e))^(1/2)/(c+d*sec(f*x+e))^(1/2),x, algorithm="maxi 
ma")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(185\)

Maxima [F(-2)]

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

integrate((a+a*sec(f*x+e))^(1/2)/(c+d*sec(f*x+e))^(3/2),x, algorithm="maxi 
ma")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(186\)

Maxima [F(-2)]

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

integrate((c+d*sec(f*x+e))^(1/2)/(a+a*sec(f*x+e))^(1/2),x, algorithm="maxi 
ma")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(187\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(189\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(190\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(191\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(192\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(193\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(194\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(195\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(196\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number \(235\)

Integral number in file \(197\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)/(a+a*sec(f*x+e))^(3/2)/(c-c*sec(f*x+e))^(5/2),x, algo 
rithm="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/236_4.5.2.3

Test file number \(236\)

Integral number in file \(144\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)/(a+a*sec(f*x+e))^(5/2)/(c-c*sec(f*x+e))^(3/2),x, algo 
rithm="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/236_4.5.2.3

Test file number \(236\)

Integral number in file \(149\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(189\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c+d*sec(f*x+e))^2,x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(190\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c+d*sec(f*x+e))^3,x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(191\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))/(c+d*sec(f*x+e))^4,x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(192\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^2/(c+d*sec(f*x+e)),x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(197\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^2/(c+d*sec(f*x+e))^2,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(198\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^2/(c+d*sec(f*x+e))^3,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(199\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^2/(c+d*sec(f*x+e))^4,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(200\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^2/(c+d*sec(f*x+e))^5,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(201\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^3/(c+d*sec(f*x+e)),x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(205\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^3/(c+d*sec(f*x+e))^2,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(206\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^3/(c+d*sec(f*x+e))^3,x, algorithm="m 
axima")
                                                                                    
                                                                                    
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(207\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^3/(c+d*sec(f*x+e))^4,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(208\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^3/(c+d*sec(f*x+e))^5,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(209\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(214\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c+d*sec(f*x+e))^2,x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(215\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)/(a+a*sec(f*x+e))/(c+d*sec(f*x+e))^3,x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(216\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)/(a+a*sec(f*x+e))^2/(c+d*sec(f*x+e)),x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(222\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)/(a+a*sec(f*x+e))^2/(c+d*sec(f*x+e))^2,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(223\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)/(a+a*sec(f*x+e))^2/(c+d*sec(f*x+e))^3,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(224\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)/(a+a*sec(f*x+e))^3/(c+d*sec(f*x+e)),x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(231\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)/(a+a*sec(f*x+e))^3/(c+d*sec(f*x+e))^2,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(232\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)/(a+a*sec(f*x+e))^3/(c+d*sec(f*x+e))^3,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(233\)

Maxima [F(-2)]

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

integrate((g*sec(f*x+e))^(3/2)*(a+a*sec(f*x+e))^(1/2)/(c+d*sec(f*x+e)),x, 
algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(239\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(248\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+b*sec(f*x+e))/(c+d*sec(f*x+e))^2,x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(249\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+b*sec(f*x+e))/(c+d*sec(f*x+e))^3,x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(250\)

Maxima [F(-2)]

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

integrate(sec(f*x+e)*(a+b*sec(f*x+e))/(c+d*sec(f*x+e))^4,x, algorithm="max 
ima")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number \(236\)

Integral number in file \(251\)