2.2.0 Integrals 2701 to 2800

Integrals 2701 to 2800

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(69\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(70\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(71\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(76\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(77\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(78\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(79\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(80\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(81\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(82\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(83\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(84\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(85\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(86\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b x} \left (A+B x+C x^2\right )}{(c+d x)^{11/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(1/2)*(C*x^2+B*x+A)/(d*x+c)^(11/2),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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(87\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b x} \left (A+B x+C x^2\right )}{(c+d x)^{13/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(1/2)*(C*x^2+B*x+A)/(d*x+c)^(13/2),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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(88\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(89\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(90\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(91\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(92\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(93\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(94\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(95\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(96\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^{3/2} \left (A+B x+C x^2\right )}{(c+d x)^{11/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c)^(11/2),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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(97\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^{3/2} \left (A+B x+C x^2\right )}{(c+d x)^{13/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c)^(13/2),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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(98\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^{3/2} \left (A+B x+C x^2\right )}{(c+d x)^{15/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c)^(15/2),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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(99\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(100\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(101\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(102\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(103\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(104\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(105\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(106\)

Maxima [F(-2)]

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

integrate((b*x+a)^(5/2)*(C*x^2+B*x+A)/(d*x+c)^(9/2),x, algorithm="maxima")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(107\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^{5/2} \left (A+B x+C x^2\right )}{(c+d x)^{11/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(5/2)*(C*x^2+B*x+A)/(d*x+c)^(11/2),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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(108\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^{5/2} \left (A+B x+C x^2\right )}{(c+d x)^{13/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(5/2)*(C*x^2+B*x+A)/(d*x+c)^(13/2),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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(109\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^{5/2} \left (A+B x+C x^2\right )}{(c+d x)^{15/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(5/2)*(C*x^2+B*x+A)/(d*x+c)^(15/2),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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(110\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^{5/2} \left (A+B x+C x^2\right )}{(c+d x)^{17/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*x+a)^(5/2)*(C*x^2+B*x+A)/(d*x+c)^(17/2),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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(111\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(112\)

Maxima [F(-2)]

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

integrate((e*x+d)^(1/2)*(c*x^2+b*x+a)/(g*x+f)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(113\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(114\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(e*x+d)^(3/2)/(g*x+f)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(115\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(e*x+d)^(5/2)/(g*x+f)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(116\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(e*x+d)^(7/2)/(g*x+f)^(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*(d*g-e*f)>0)', see `assume?` f 
or more de

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(117\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(e*x+d)^(9/2)/(g*x+f)^(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*(d*g-e*f)>0)', see `assume?` f 
or more de

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(118\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(119\)

Maxima [F(-2)]

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

integrate((e*x+d)^(3/2)*(c*x^2+b*x+a)/(g*x+f)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(120\)

Maxima [F(-2)]

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

integrate((e*x+d)^(1/2)*(c*x^2+b*x+a)/(g*x+f)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(121\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(e*x+d)^(1/2)/(g*x+f)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(122\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(123\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(124\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(e*x+d)^(7/2)/(g*x+f)^(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*(d*g-e*f)>0)', see `assume?` f 
or more de

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(125\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(126\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(127\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(128\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(e*x+d)^(1/2)/(g*x+f)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(129\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(130\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(131\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(e*x+d)^(7/2)/(g*x+f)^(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*(d*g-e*f)>0)', see `assume?` f 
or more de

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(132\)

Maxima [F(-2)]

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

integrate((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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(137\)

Maxima [F(-2)]

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

integrate((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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(138\)

Maxima [F(-2)]

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

integrate((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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(139\)

Maxima [F(-2)]

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

integrate((C*x^2+B*x+A)/(b*x+a)^4/(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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(140\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(185\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(186\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(187\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(192\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(193\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(194\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(199\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(200\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(201\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(206\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(207\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(208\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(213\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(214\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(215\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(216\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(217\)

Maxima [F(-2)]

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

integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)^2/(e*x+d)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(218\)

Maxima [F(-2)]

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

integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)^2/(e*x+d)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(219\)

Maxima [F(-2)]

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

integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)^2/(e*x+d)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(220\)

Maxima [F(-2)]

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

integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)^2/(e*x+d)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(221\)

Maxima [F(-2)]

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

integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)^2/(e*x+d)^(9/2),x, algorithm="maxima 
")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(222\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {f+g x} \left (a+b x+c x^2\right )^2}{(d+e x)^{11/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)^2/(e*x+d)^(11/2),x, algorithm="maxim 
a")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(223\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {f+g x} \left (a+b x+c x^2\right )^2}{(d+e x)^{13/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)^2/(e*x+d)^(13/2),x, algorithm="maxim 
a")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(224\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(225\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(226\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(227\)

Maxima [F(-2)]

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

integrate((g*x+f)^(3/2)*(c*x^2+b*x+a)^2/(e*x+d)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(228\)

Maxima [F(-2)]

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

integrate((g*x+f)^(3/2)*(c*x^2+b*x+a)^2/(e*x+d)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(229\)

Maxima [F(-2)]

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

integrate((g*x+f)^(3/2)*(c*x^2+b*x+a)^2/(e*x+d)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(230\)

Maxima [F(-2)]

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

integrate((g*x+f)^(3/2)*(c*x^2+b*x+a)^2/(e*x+d)^(9/2),x, algorithm="maxima 
")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(231\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x)^{3/2} \left (a+b x+c x^2\right )^2}{(d+e x)^{11/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)^(3/2)*(c*x^2+b*x+a)^2/(e*x+d)^(11/2),x, algorithm="maxim 
a")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(232\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x)^{3/2} \left (a+b x+c x^2\right )^2}{(d+e x)^{13/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)^(3/2)*(c*x^2+b*x+a)^2/(e*x+d)^(13/2),x, algorithm="maxim 
a")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(233\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x)^{3/2} \left (a+b x+c x^2\right )^2}{(d+e x)^{15/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)^(3/2)*(c*x^2+b*x+a)^2/(e*x+d)^(15/2),x, algorithm="maxim 
a")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(234\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(235\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/103_S1.6.1.f

Test ﬁle number \(103\)

Integral number in ﬁle \(236\)

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