Integrals 801 to 900

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^(1/2)/(d*x+c)^(7/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(136\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^(1/2)/(d*x+c)^(9/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(137\)

Maxima [F(-2)]

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

integrate((d*x+c)^(5/2)*(D*x^3+C*x^2+B*x+A)/(b*x+a)^(3/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(138\)

Maxima [F(-2)]

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

integrate((d*x+c)^(3/2)*(D*x^3+C*x^2+B*x+A)/(b*x+a)^(3/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(139\)

Maxima [F(-2)]

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

integrate((d*x+c)^(1/2)*(D*x^3+C*x^2+B*x+A)/(b*x+a)^(3/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(140\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^(3/2)/(d*x+c)^(1/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(141\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(142\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(143\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^(3/2)/(d*x+c)^(7/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(144\)

Maxima [F(-2)]

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

integrate((d*x+c)^(5/2)*(D*x^3+C*x^2+B*x+A)/(b*x+a)^(5/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(145\)

Maxima [F(-2)]

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

integrate((d*x+c)^(3/2)*(D*x^3+C*x^2+B*x+A)/(b*x+a)^(5/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(146\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+d x} \left (A+B x+C x^2+D x^3\right )}{(a+b x)^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((d*x+c)^(1/2)*(D*x^3+C*x^2+B*x+A)/(b*x+a)^(5/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(147\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^(5/2)/(d*x+c)^(1/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(148\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^(5/2)/(d*x+c)^(3/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(149\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(150\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B x+C x^2+D x^3}{(a+b x)^{5/2} (c+d x)^{7/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^(5/2)/(d*x+c)^(7/2),x, algorithm="ma 
xima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(151\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B x+C x^2+D x^3+F x^4}{(a+b x)^{3/2} (c+d x)^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((F*x^4+D*x^3+C*x^2+B*x+A)/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorit 
hm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(152\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(157\)

Maxima [F(-2)]

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

integrate((d*x+c)^(1/3)*(D*x^3+C*x^2+B*x+A)/(b*x+a)^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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(158\)

Maxima [F(-2)]

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

integrate((d*x+c)^(1/3)*(D*x^3+C*x^2+B*x+A)/(b*x+a)^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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(159\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)/(d*x+c)^(2/3),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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(164\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^2/(d*x+c)^(2/3),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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(165\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^3/(d*x+c)^(2/3),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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(166\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)/(d*x+c)^(4/3),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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(171\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^2/(d*x+c)^(4/3),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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(172\)

Maxima [F(-2)]

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

integrate((D*x^3+C*x^2+B*x+A)/(b*x+a)^3/(d*x+c)^(4/3),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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number \(26\)

Integral number in file \(173\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {1-d x} \sqrt {1+d x} \left (A+B x+C x^2\right )}{e+f x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((-d*x+1)^(1/2)*(d*x+1)^(1/2)*(C*x^2+B*x+A)/(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(35\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {1-d x} \sqrt {1+d x} \left (A+B x+C x^2\right )}{(e+f x)^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((-d*x+1)^(1/2)*(d*x+1)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^2,x, algorith 
m="maxima")
 

Output:

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/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(36\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {1-d x} \sqrt {1+d x} \left (A+B x+C x^2\right )}{(e+f x)^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((-d*x+1)^(1/2)*(d*x+1)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^3,x, algorith 
m="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(37\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B x+C x^2}{\sqrt {1-d x} \sqrt {1+d x} (e+f x)} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)/(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(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(42\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B x+C x^2}{\sqrt {1-d x} \sqrt {1+d x} (e+f x)^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)/(f*x+e)^2,x, algorith 
m="maxima")
 

Output:

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/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(43\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B x+C x^2}{\sqrt {1-d x} \sqrt {1+d x} (e+f x)^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)/(f*x+e)^3,x, algorith 
m="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(44\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b x} \sqrt {a c-b c x} \left (A+B x+C x^2\right )}{e+f x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2)*(C*x^2+B*x+A)/(f*x+e),x, algori 
thm="maxima")
 

Output:

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/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(49\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b x} \sqrt {a c-b c x} \left (A+B x+C x^2\right )}{(e+f x)^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^2,x, algo 
rithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(50\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b x} \sqrt {a c-b c x} \left (A+B x+C x^2\right )}{(e+f x)^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^3,x, algo 
rithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(51\)

Maxima [F(-2)]

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

integrate((C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)/(f*x+e),x, algori 
thm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(56\)

Maxima [F(-2)]

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

integrate((C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)/(f*x+e)^2,x, algo 
rithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(57\)

Maxima [F(-2)]

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

integrate((C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)/(f*x+e)^3,x, algo 
rithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(58\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(-1+x)^(1/2)/(1+x)^(1/2)/(e*x+d)^3,x, algorithm="m 
axima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(59\)

Maxima [F(-2)]

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

integrate((b*x+a)^2*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A),x, algorithm 
="maxima")
 

Output:

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*f+d*e>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(63\)

Maxima [F(-2)]

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

integrate((b*x+a)*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A),x, algorithm=" 
maxima")
 

Output:

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*f+d*e>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(64\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {c+d x} \sqrt {e+f x} \left (A+B x+C x^2\right ) \, dx=\text {Exception raised: ValueError} \] Input:

integrate((d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A),x, algorithm="maxima")
                                                                                    
                                                                                    
 

Output:

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*f+d*e>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(65\)

Maxima [F(-2)]

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

integrate((d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)/(b*x+a),x, algorithm=" 
maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(66\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(67\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(68\)

Maxima [F(-2)]

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

integrate((b*x+a)^2*(d*x+c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^(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(c*f-d*e>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(69\)

Maxima [F(-2)]

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

integrate((b*x+a)*(d*x+c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^(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(c*f-d*e>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(70\)

Maxima [F(-2)]

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

integrate((d*x+c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^(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(c*f-d*e>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(71\)

Maxima [F(-2)]

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

integrate((d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)/(f*x+e)^(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(((-(2*a*d*f)/b^2)>0)', see `assu 
me?` for m
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(72\)

Maxima [F(-2)]

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

integrate((d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^2/(f*x+e)^(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(((-(2*a*d*f)/b^2)>0)', see `assu 
me?` for m
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(73\)

Maxima [F(-2)]

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

integrate((d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^3/(f*x+e)^(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(((-(2*a*d*f)/b^2)>0)', see `assu 
me?` for m
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(74\)

Maxima [F(-2)]

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

integrate((d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^4/(f*x+e)^(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((a*d-b*c)>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(75\)

Maxima [F(-2)]

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

integrate((b*x+a)^2*(C*x^2+B*x+A)/(d*x+c)^(1/2)/(f*x+e)^(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(c*f-d*e>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(76\)

Maxima [F(-2)]

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

integrate((b*x+a)*(C*x^2+B*x+A)/(d*x+c)^(1/2)/(f*x+e)^(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(c*f-d*e>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(77\)

Maxima [F(-2)]

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

integrate((C*x^2+B*x+A)/(d*x+c)^(1/2)/(f*x+e)^(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(c*f-d*e>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(78\)

Maxima [F(-2)]

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

integrate((C*x^2+B*x+A)/(b*x+a)/(d*x+c)^(1/2)/(f*x+e)^(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(((-(2*a*d*f)/b^2)>0)', see `assu 
me?` for m
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(79\)

Maxima [F(-2)]

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

integrate((C*x^2+B*x+A)/(b*x+a)^2/(d*x+c)^(1/2)/(f*x+e)^(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(((-(2*a*d*f)/b^2)>0)', see `assu 
me?` for m
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(80\)

Maxima [F(-2)]

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

integrate((C*x^2+B*x+A)/(b*x+a)^3/(d*x+c)^(1/2)/(f*x+e)^(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((a*d-b*c)>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(81\)

Maxima [F(-2)]

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

integrate((C*x^2+B*x+A)/(b*x+a)^4/(d*x+c)^(1/2)/(f*x+e)^(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((a*d-b*c)>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/27_1.1.1.7

Test file number \(27\)

Integral number in file \(82\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/29_1.1.2.1

Test file number \(29\)

Integral number in file \(22\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/29_1.1.2.1

Test file number \(29\)

Integral number in file \(23\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/29_1.1.2.1

Test file number \(29\)

Integral number in file \(24\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/29_1.1.2.1

Test file number \(29\)

Integral number in file \(25\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/29_1.1.2.1

Test file number \(29\)

Integral number in file \(26\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(919\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(920\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(921\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(930\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(931\)

Maxima [F(-2)]

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

integrate(x^3*(d*x^2+c)^(5/2)/(b*x^2+a),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(940\)

Maxima [F(-2)]

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

integrate(x*(d*x^2+c)^(5/2)/(b*x^2+a),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(941\)

Maxima [F(-2)]

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

integrate(x^7/(b*x^2+a)/(d*x^2+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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(950\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(951\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(952\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(953\)

Maxima [F(-2)]

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

integrate(x^7/(b*x^2+a)/(d*x^2+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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(961\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(962\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(963\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(964\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^9}{\left (a+b x^2\right ) \left (c+d x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^9/(b*x^2+a)/(d*x^2+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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(973\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^7}{\left (a+b x^2\right ) \left (c+d x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^7/(b*x^2+a)/(d*x^2+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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(974\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(975\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(976\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(977\)

Maxima [F(-2)]

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

integrate(x^3*(d*x^2+c)^(1/2)/(b*x^2+a)^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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(988\)

Maxima [F(-2)]

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

integrate(x*(d*x^2+c)^(1/2)/(b*x^2+a)^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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(990\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(997\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(999\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1006\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1008\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1015\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1017\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1024\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1026\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1033\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1035\)

Maxima [F(-2)]

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

integrate(x^5*(b*x^2+a)^(1/2)/(d*x^2+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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1167\)

Maxima [F(-2)]

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

integrate(x^3*(b*x^2+a)^(1/2)/(d*x^2+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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1168\)

Maxima [F(-2)]

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

integrate(x*(b*x^2+a)^(1/2)/(d*x^2+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(a*d-b*c>0)', see `assume?` for m 
ore detail
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1169\)

Maxima [F(-2)]

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

integrate((b*x^2+a)^(1/2)/x/(d*x^2+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(a*d-b*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.2_Quadratic_binomial/32_1.1.2.4

Test file number \(32\)

Integral number in file \(1170\)