2.2.0 Integrals 2601 to 2700

Integrals 2601 to 2700

Maxima [F(-2)]

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

integrate((g*x+f)*(c*x^2+b*x+a)^(5/2)/(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(a*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(895\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x) \left (a+b x+c x^2\right )^{5/2}}{(d+e x)^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^4,x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(a*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(896\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(a*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(897\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x) \left (a+b x+c x^2\right )^{5/2}}{(d+e x)^6} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^6,x, algorithm="maxima")

Output:

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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(898\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(899\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(900\)

Maxima [F(-2)]

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

integrate((g*x+f)*(c*x^2+b*x+a)^(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(4*a*c-b^2>0)', see `assume?` for 
 more deta

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(901\)

Maxima [F(-2)]

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

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(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>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(902\)

Maxima [F(-2)]

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

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(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(a*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(903\)

Maxima [F(-2)]

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

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(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(a*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(904\)

Maxima [F(-2)]

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

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^4,x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(a*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(905\)

Maxima [F(-2)]

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

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^5,x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(a*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(906\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x) \left (a+b x+c x^2\right )^{7/2}}{(d+e x)^6} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^6,x, algorithm="maxima")

Output:

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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(907\)

Maxima [F(-2)]

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

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^7,x, algorithm="maxima")

Output:

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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(908\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x) \left (a+b x+c x^2\right )^{7/2}}{(d+e x)^8} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^8,x, algorithm="maxima")

Output:

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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(909\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x) \left (a+b x+c x^2\right )^{7/2}}{(d+e x)^9} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^9,x, algorithm="maxima")

Output:

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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(910\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x) \left (a+b x+c x^2\right )^{7/2}}{(d+e x)^{10}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^10,x, algorithm="maxima")

Output:

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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(911\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x) \left (a+b x+c x^2\right )^{7/2}}{(d+e x)^{11}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^11,x, algorithm="maxima")

Output:

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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(912\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x) \left (a+b x+c x^2\right )^{7/2}}{(d+e x)^{12}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)*(c*x^2+b*x+a)^(7/2)/(e*x+d)^12,x, algorithm="maxima")

Output:

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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(913\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(973\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(974\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(975\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(976\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(977\)

Maxima [F(-2)]

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

integrate((g*x+f)/(e*x+d)^2/(c*x^2+b*x+a)^(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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(978\)

Maxima [F(-2)]

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

integrate((g*x+f)/(e*x+d)^3/(c*x^2+b*x+a)^(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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(979\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(980\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(981\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(982\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(983\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(984\)

Maxima [F(-2)]

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

integrate((g*x+f)/(e*x+d)^2/(c*x^2+b*x+a)^(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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(985\)

Maxima [F(-2)]

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

integrate((g*x+f)/(e*x+d)^3/(c*x^2+b*x+a)^(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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(986\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(d+e x)^4 (f+g x)}{\left (a+b x+c x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x+d)^4*(g*x+f)/(c*x^2+b*x+a)^(5/2),x, algorithm="maxima")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(987\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(988\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(989\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(990\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(991\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(992\)

Maxima [F(-2)]

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

integrate((g*x+f)/(e*x+d)^2/(c*x^2+b*x+a)^(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*e^2-b*d*e>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/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(993\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(A+B x) (d+e x)^6}{\left (a+b x+c x^2\right )^{7/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((B*x+A)*(e*x+d)^6/(c*x^2+b*x+a)^(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(4*a*c-b^2>0)', see `assume?` for 
 more deta

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(994\)

Maxima [F(-2)]

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

integrate((B*x+A)*(e*x+d)^5/(c*x^2+b*x+a)^(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(4*a*c-b^2>0)', see `assume?` for 
 more deta

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(995\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(996\)

Maxima [F(-2)]

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

integrate((B*x+A)*(e*x+d)^3/(c*x^2+b*x+a)^(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(4*a*c-b^2>0)', see `assume?` for 
 more deta

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(997\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(998\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(999\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(1000\)

Maxima [F(-2)]

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

integrate((B*x+A)/(e*x+d)/(c*x^2+b*x+a)^(7/2),x, algorithm="maxima")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/101_1.2.1.3_f1

Test ﬁle number \(101\)

Integral number in ﬁle \(1001\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(377\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(378\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(379\)

Maxima [F(-2)]

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

integrate((g*x+f)/(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(4*a*c-b^2>0)', see `assume?` for 
 more deta

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(380\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(381\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(382\)

Maxima [F(-2)]

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

integrate((e*x+d)^3*(g*x+f)^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(4*a*c-b^2>0)', see `assume?` for 
 more deta

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(383\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(384\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(385\)

Maxima [F(-2)]

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

integrate((g*x+f)^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(4*a*c-b^2>0)', see `assume?` for 
 more deta

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(386\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(387\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(388\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(b d-2 a e+(2 c d-b e) x) \left (a+b x+c x^2\right )^{5/2}}{(d+e x)^8} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(5/2)/(e*x+d)^8,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*e^2-b*d*e>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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(739\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(b d-2 a e+(2 c d-b e) x) \left (a+b x+c x^2\right )^{3/2}}{(d+e x)^6} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/(e*x+d)^6,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*e^2-b*d*e>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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(740\)

Maxima [F(-2)]

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

integrate((b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^4,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*e^2-b*d*e>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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(741\)

Maxima [F(-2)]

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

integrate((b*d-2*a*e+(-b*e+2*c*d)*x)/(e*x+d)^2/(c*x^2+b*x+a)^(1/2),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(a*e^2-b*d*e>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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(742\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(743\)

Maxima [F(-2)]

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

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(744\)

Maxima [F(-2)]

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

integrate((e*x+d)^4*(b*d-2*a*e+(-b*e+2*c*d)*x)/(c*x^2+b*x+a)^(7/2),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*a*c-b^2>0)', see `assume?` for 
 more deta

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(745\)

Maxima [F(-2)]

Exception generated. \[ \int (d+e x)^3 (f+g x)^2 \sqrt {\frac {77 e^2 f^2}{2}-21 d e f g+\frac {9 d^2 g^2}{2}-8 e g \left (-7 e f+\frac {3 d g}{2}\right ) x+22 e^2 g^2 x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/2*(e*x+d)^3*(g*x+f)^2*(88*e^2*g^2*x^2-48*d*e*g^2*x+224*e^2*f*g 
*x+18*d^2*g^2-84*d*e*f*g+154*e^2*f^2)^(1/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e*(3*d*g-14*e*f)>0)', see `assum 
e?` for mo

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(771\)

Maxima [F(-2)]

Exception generated. \[ \int (d+e x)^2 (f+g x)^2 \sqrt {27 e^2 f^2-18 d e f g+\frac {9 d^2 g^2}{2}-6 e g \left (-6 e f+\frac {3 d g}{2}\right ) x+\frac {27}{2} e^2 g^2 x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(3/2*(e*x+d)^2*(g*x+f)^2*(6*e^2*g^2*x^2-4*d*e*g^2*x+16*e^2*f*g*x+ 
2*d^2*g^2-8*d*e*f*g+12*e^2*f^2)^(1/2),x, algorithm="maxima")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(772\)

Maxima [F(-2)]

Exception generated. \[ \int (d+e x) (f+g x)^2 \sqrt {\frac {35 e^2 f^2}{2}-15 d e f g+\frac {9 d^2 g^2}{2}-4 e g \left (-5 e f+\frac {3 d g}{2}\right ) x+7 e^2 g^2 x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/2*(e*x+d)*(g*x+f)^2*(28*e^2*g^2*x^2-24*d*e*g^2*x+80*e^2*f*g*x+ 
18*d^2*g^2-60*d*e*f*g+70*e^2*f^2)^(1/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e*(3*d*g-10*e*f)>0)', see `assum 
e?` for mo

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(773\)

Maxima [F(-2)]

Exception generated. \[ \int (f+g x)^2 \sqrt {10 e^2 f^2-12 d e f g+\frac {9 d^2 g^2}{2}-2 e g \left (-4 e f+\frac {3 d g}{2}\right ) x+\frac {5}{2} e^2 g^2 x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/2*(g*x+f)^2*(10*e^2*g^2*x^2-12*d*e*g^2*x+32*e^2*f*g*x+18*d^2*g 
^2-48*d*e*f*g+40*e^2*f^2)^(1/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e*(3*d*g-8*e*f)>0)', see `assume 
?` for mor

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(774\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x)^2 \sqrt {e^2 f^2-6 d e f g+\frac {9 d^2 g^2}{2}+2 e g \left (-2 e f+\frac {3 d g}{2}\right ) x-\frac {1}{2} e^2 g^2 x^2}}{(d+e x)^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/2*(g*x+f)^2*(-2*e^2*g^2*x^2+12*d*e*g^2*x-16*e^2*f*g*x+18*d^2*g 
^2-24*d*e*f*g+4*e^2*f^2)^(1/2)/(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(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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(775\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x)^2 \sqrt {-\frac {1}{2} e^2 f^2-3 d e f g+\frac {9 d^2 g^2}{2}+4 e g \left (-e f+\frac {3 d g}{2}\right ) x+e^2 g^2 x^2}}{(d+e x)^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/2*(g*x+f)^2*(4*e^2*g^2*x^2+24*d*e*g^2*x-16*e^2*f*g*x+18*d^2*g^ 
2-12*d*e*f*g-2*e^2*f^2)^(1/2)/(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(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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(776\)

Maxima [F(-2)]

Exception generated. \[ \int (d+e x)^3 (f+g x)^2 \left (\frac {117 e^2 f^2}{2}-45 d e f g+\frac {25 d^2 g^2}{2}-8 e g \left (-9 e f+\frac {5 d g}{2}\right ) x+26 e^2 g^2 x^2\right )^{3/2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x+d)^3*(g*x+f)^2*(117/2*e^2*f^2-45*d*e*f*g+25/2*d^2*g^2-8*e*g 
*(-9*e*f+5/2*d*g)*x+26*e^2*g^2*x^2)^(3/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(777\)

Maxima [F(-2)]

Exception generated. \[ \int (d+e x)^2 (f+g x)^2 \left (44 e^2 f^2-40 d e f g+\frac {25 d^2 g^2}{2}-6 e g \left (-8 e f+\frac {5 d g}{2}\right ) x+\frac {33}{2} e^2 g^2 x^2\right )^{3/2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x+d)^2*(g*x+f)^2*(44*e^2*f^2-40*d*e*f*g+25/2*d^2*g^2-6*e*g*(- 
8*e*f+5/2*d*g)*x+33/2*e^2*g^2*x^2)^(3/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(778\)

Maxima [F(-2)]

Exception generated. \[ \int (d+e x) (f+g x)^2 \left (\frac {63 e^2 f^2}{2}-35 d e f g+\frac {25 d^2 g^2}{2}-4 e g \left (-7 e f+\frac {5 d g}{2}\right ) x+9 e^2 g^2 x^2\right )^{3/2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x+d)*(g*x+f)^2*(63/2*e^2*f^2-35*d*e*f*g+25/2*d^2*g^2-4*e*g*(- 
7*e*f+5/2*d*g)*x+9*e^2*g^2*x^2)^(3/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(779\)

Maxima [F(-2)]

Exception generated. \[ \int (f+g x)^2 \left (21 e^2 f^2-30 d e f g+\frac {25 d^2 g^2}{2}-2 e g \left (-6 e f+\frac {5 d g}{2}\right ) x+\frac {7}{2} e^2 g^2 x^2\right )^{3/2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)^2*(21*e^2*f^2-30*d*e*f*g+25/2*d^2*g^2-2*e*g*(-6*e*f+5/2* 
d*g)*x+7/2*e^2*g^2*x^2)^(3/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(780\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x)^2 \left (6 e^2 f^2-20 d e f g+\frac {25 d^2 g^2}{2}+2 e g \left (-4 e f+\frac {5 d g}{2}\right ) x-\frac {3}{2} e^2 g^2 x^2\right )^{3/2}}{(d+e x)^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)^2*(6*e^2*f^2-20*d*e*f*g+25/2*d^2*g^2+2*e*g*(-4*e*f+5/2*d 
*g)*x-3/2*e^2*g^2*x^2)^(3/2)/(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(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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(781\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x)^2 \left (\frac {3 e^2 f^2}{2}-15 d e f g+\frac {25 d^2 g^2}{2}+4 e g \left (-3 e f+\frac {5 d g}{2}\right ) x-e^2 g^2 x^2\right )^{3/2}}{(d+e x)^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)^2*(3/2*e^2*f^2-15*d*e*f*g+25/2*d^2*g^2+4*e*g*(-3*e*f+5/2 
*d*g)*x-e^2*g^2*x^2)^(3/2)/(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(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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(782\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(d+e x)^3 (f+g x)^2}{\sqrt {\frac {45 e^2 f^2}{2}-5 d e f g+\frac {d^2 g^2}{2}-8 e g \left (-5 e f+\frac {d g}{2}\right ) x+18 e^2 g^2 x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(2*(e*x+d)^3*(g*x+f)^2/(72*e^2*g^2*x^2-16*d*e*g^2*x+160*e^2*f*g*x 
+2*d^2*g^2-20*d*e*f*g+90*e^2*f^2)^(1/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((160*e^2*f*g>0)', see `assume?` 
for more d

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(783\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(d+e x)^2 (f+g x)^2}{\sqrt {14 e^2 f^2-4 d e f g+\frac {d^2 g^2}{2}-6 e g \left (-4 e f+\frac {d g}{2}\right ) x+\frac {21}{2} e^2 g^2 x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(2*(e*x+d)^2*(g*x+f)^2/(42*e^2*g^2*x^2-12*d*e*g^2*x+96*e^2*f*g*x+ 
2*d^2*g^2-16*d*e*f*g+56*e^2*f^2)^(1/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((96*e^2*f*g>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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(784\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(d+e x) (f+g x)^2}{\sqrt {\frac {15 e^2 f^2}{2}-3 d e f g+\frac {d^2 g^2}{2}-4 e g \left (-3 e f+\frac {d g}{2}\right ) x+5 e^2 g^2 x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(2*(e*x+d)*(g*x+f)^2/(20*e^2*g^2*x^2-8*d*e*g^2*x+48*e^2*f*g*x+2*d 
^2*g^2-12*d*e*f*g+30*e^2*f^2)^(1/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((48*e^2*f*g>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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(785\)

Maxima [F(-2)]

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

integrate(2*(g*x+f)^2/(6*e^2*g^2*x^2-4*d*e*g^2*x+16*e^2*f*g*x+2*d^2*g^2-8* 
d*e*f*g+12*e^2*f^2)^(1/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((16*e^2*f*g>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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(786\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x)^2}{(d+e x)^3 \sqrt {\frac {3 e^2 f^2}{2}+d e f g+\frac {d^2 g^2}{2}+4 e g \left (e f+\frac {d g}{2}\right ) x+3 e^2 g^2 x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(2*(g*x+f)^2/(e*x+d)^3/(12*e^2*g^2*x^2+8*d*e*g^2*x+16*e^2*f*g*x+2 
*d^2*g^2+4*d*e*f*g+6*e^2*f^2)^(1/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(788\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(d+e x)^3 (f+g x)^2}{\left (\frac {21 e^2 f^2}{2}+3 d e f g+\frac {d^2 g^2}{2}-8 e g \left (-3 e f-\frac {d g}{2}\right ) x+14 e^2 g^2 x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x+d)^3*(g*x+f)^2/(21/2*e^2*f^2+3*d*e*f*g+1/2*d^2*g^2-8*e*g*(- 
3*e*f-1/2*d*g)*x+14*e^2*g^2*x^2)^(3/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(16*e^2*g^2>0)', see `assume?` fo 
r more det

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(789\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(d+e x)^2 (f+g x)^2}{\left (5 e^2 f^2+2 d e f g+\frac {d^2 g^2}{2}-6 e g \left (-2 e f-\frac {d g}{2}\right ) x+\frac {15}{2} e^2 g^2 x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x+d)^2*(g*x+f)^2/(5*e^2*f^2+2*d*e*f*g+1/2*d^2*g^2-6*e*g*(-2*e 
*f-1/2*d*g)*x+15/2*e^2*g^2*x^2)^(3/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(9*e^2*g^2>0)', see `assume?` for 
 more deta

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(790\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(d+e x) (f+g x)^2}{\left (\frac {3 e^2 f^2}{2}+d e f g+\frac {d^2 g^2}{2}-4 e g \left (-e f-\frac {d g}{2}\right ) x+3 e^2 g^2 x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x+d)*(g*x+f)^2/(3/2*e^2*f^2+d*e*f*g+1/2*d^2*g^2-4*e*g*(-e*f-1 
/2*d*g)*x+3*e^2*g^2*x^2)^(3/2),x, algorithm="maxima")

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(791\)

Maxima [F(-2)]

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

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

Output:

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

input ﬁle name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(793\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(f+g x)^2}{(d+e x)^3 \left (\frac {15 e^2 f^2}{2}-3 d e f g+\frac {d^2 g^2}{2}+4 e g \left (3 e f-\frac {d g}{2}\right ) x+5 e^2 g^2 x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((g*x+f)^2/(e*x+d)^3/(15/2*e^2*f^2-3*d*e*f*g+1/2*d^2*g^2+4*e*g*(3 
*e*f-1/2*d*g)*x+5*e^2*g^2*x^2)^(3/2),x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/1.2.1.3/102_1.2.1.3_f2

Test ﬁle number \(102\)

Integral number in ﬁle \(794\)

Maxima [F(-2)]

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

integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)/(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 \(46\)

Maxima [F(-2)]

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

integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)/(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 \(47\)

Maxima [F(-2)]

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

integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)/(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 \(48\)

Maxima [F(-2)]

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

integrate((g*x+f)^(1/2)*(c*x^2+b*x+a)/(e*x+d)^4,x, algorithm="maxima")

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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 \(49\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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 \(50\)

Maxima [F(-2)]

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

integrate((g*x+f)^(3/2)*(c*x^2+b*x+a)/(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 \(55\)

Maxima [F(-2)]

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

integrate((g*x+f)^(3/2)*(c*x^2+b*x+a)/(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 \(56\)

Maxima [F(-2)]

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

integrate((g*x+f)^(3/2)*(c*x^2+b*x+a)/(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 \(57\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(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 \(62\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(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 \(63\)

Maxima [F(-2)]

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

integrate((c*x^2+b*x+a)/(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 \(64\)

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