Integrals 3701 to 3800

Maxima [F(-2)]

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

integrate(1/(a+c/x^2+b/x)/x^5/(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(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/131_1.2.3.4_c

Test file number \(131\)

Integral number in file \(217\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number \(135\)

Integral number in file \(7\)

Maxima [F(-2)]

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

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

Output:

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^2*f^2-4*a*e^2>0)', see `assume 
?` for mor
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number \(135\)

Integral number in file \(8\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number \(135\)

Integral number in file \(9\)

Maxima [F(-2)]

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

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

Output:

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/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number \(135\)

Integral number in file \(25\)

Maxima [F(-2)]

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

integrate(d+e*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/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number \(135\)

Integral number in file \(26\)

Maxima [F(-2)]

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

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

Output:

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/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number \(135\)

Integral number in file \(46\)

Maxima [F(-2)]

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

integrate(d+e*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/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number \(135\)

Integral number in file \(47\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^5}{a x^2+b x^3+c x^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^5/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(25\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4}{a x^2+b x^3+c x^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^4/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(26\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3}{a x^2+b x^3+c x^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^3/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(27\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2}{a x^2+b x^3+c x^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(28\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x}{a x^2+b x^3+c x^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(29\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{a x^2+b x^3+c x^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(30\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (a x^2+b x^3+c x^4\right )} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/x/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(31\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x^2 \left (a x^2+b x^3+c x^4\right )} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/x^2/(c*x^4+b*x^3+a*x^2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(32\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^8}{\left (a x^2+b x^3+c x^4\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^8/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")
 

Output:

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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(33\)

Maxima [F(-2)]

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

integrate(x^7/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")
 

Output:

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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(34\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^6}{\left (a x^2+b x^3+c x^4\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^6/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")
 

Output:

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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(35\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^5}{\left (a x^2+b x^3+c x^4\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^5/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")
 

Output:

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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(36\)

Maxima [F(-2)]

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

integrate(x^4/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")
                                                                                    
                                                                                    
 

Output:

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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(37\)

Maxima [F(-2)]

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

integrate(x^3/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")
 

Output:

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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(38\)

Maxima [F(-2)]

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

integrate(x^2/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")
 

Output:

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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(39\)

Maxima [F(-2)]

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

integrate(x/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")
 

Output:

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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(40\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (a x^2+b x^3+c x^4\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")
 

Output:

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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(41\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (a x^2+b x^3+c x^4\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/x/(c*x^4+b*x^3+a*x^2)^2,x, algorithm="maxima")
 

Output:

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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(42\)

Maxima [F(-2)]

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

integrate(1/x/(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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number \(138\)

Integral number in file \(87\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \sqrt {a+b x^2+c x^4}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/x/(c*x^4+b*x^2+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/1.2.6_Improper_general_trinomial/140_1.2.6.2

Test file number \(140\)

Integral number in file \(83\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number \(142\)

Integral number in file \(140\)

Maxima [F(-2)]

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

integrate(1/(a*d+(a*e+b*d)*x+(b*e+c*d)*x^2+c*e*x^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/1.3_Cubic/142_1.3.1

Test file number \(142\)

Integral number in file \(141\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number \(142\)

Integral number in file \(165\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number \(143\)

Integral number in file \(127\)

Maxima [F(-2)]

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

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

Output:

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/1.3_Cubic/143_1.3.2

Test file number \(143\)

Integral number in file \(128\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(e+f x)^2}{\left (1-(1-6 b)^{3/2}-9 b+54 b x-54 x^2+108 x^3\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((f*x+e)^2/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(3/2),x, a 
lgorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number \(143\)

Integral number in file \(160\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e+f x}{\left (1-(1-6 b)^{3/2}-9 b+54 b x-54 x^2+108 x^3\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((f*x+e)/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(3/2),x, alg 
orithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number \(143\)

Integral number in file \(161\)

Maxima [F(-2)]

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

integrate((b*c*x^4+a*c*x^2)^(1/2)/(e*x^2+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/1.5_Polynomial/147_1.7.2

Test file number \(147\)

Integral number in file \(275\)

Maxima [F(-2)]

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

integrate((c*x^2*(b*x^2+a))^(1/2)/(e*x^2+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/1.5_Polynomial/147_1.7.2

Test file number \(147\)

Integral number in file \(276\)

Maxima [F(-2)]

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

integrate((x^2*(b*c*x^2+a*c))^(1/2)/(e*x^2+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/1.5_Polynomial/147_1.7.2

Test file number \(147\)

Integral number in file \(277\)

Maxima [F(-2)]

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

integrate((c*x*(b*x^3+a*x))^(1/2)/(e*x^2+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/1.5_Polynomial/147_1.7.2

Test file number \(147\)

Integral number in file \(278\)

Maxima [F(-2)]

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

integrate((c*(b*x^4+a*x^2))^(1/2)/(e*x^2+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/1.5_Polynomial/147_1.7.2

Test file number \(147\)

Integral number in file \(279\)

Maxima [F(-2)]

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

integrate((x*(b*c*x^3+a*c*x))^(1/2)/(e*x^2+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/1.5_Polynomial/147_1.7.2

Test file number \(147\)

Integral number in file \(280\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(72\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(73\)

Maxima [F(-2)]

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

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

Output:

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/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(74\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(75\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^3} \, dx=\text {Exception raised: ValueError} \] Input:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(76\)

Maxima [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(77\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^5} \, dx=\text {Exception raised: ValueError} \] Input:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(78\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^6} \, dx=\text {Exception raised: ValueError} \] Input:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(79\)

Maxima [F(-2)]

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

integrate((-x^2-2*x+2)/(d*x+x^2+d+2)/(x^3+1)^(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^2-4*(d+2)>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(224\)

Maxima [F(-2)]

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

integrate((-x^2+2*x+2)/(d*x+x^2-d+2)/(-x^3+1)^(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^2-4*(2-d)>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(225\)

Maxima [F(-2)]

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

integrate((-x^2+2*x+2)/(d*x+x^2-d+2)/(x^3-1)^(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^2-4*(2-d)>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(226\)

Maxima [F(-2)]

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

integrate((-x^2-2*x+2)/(d*x+x^2+d+2)/(-x^3-1)^(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^2-4*(d+2)>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number \(148\)

Integral number in file \(227\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d x^2}}{x} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(52\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d x^2}}{x^3} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(53\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d x^2}}{x^5} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(54\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d x^2}}{x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(58\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d x^2}}{x^4} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((d*x^2)^(1/2)/x^4,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(59\)

Maxima [F(-2)]

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

integrate((d*x^2)^(3/2)/x^3,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(63\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(64\)

Maxima [F(-2)]

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

integrate((d*x^2)^(3/2)/x^7,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(65\)

Maxima [F(-2)]

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

integrate((d*x^2)^(3/2)/x^2,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(69\)

Maxima [F(-2)]

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

integrate((d*x^2)^(3/2)/x^4,x, algorithm="maxima")
                                                                                    
                                                                                    
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(70\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d x^2\right )^{3/2}}{x^6} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((d*x^2)^(3/2)/x^6,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(71\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d x^2\right )^{3/2}}{x^8} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((d*x^2)^(3/2)/x^8,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(72\)

Maxima [F(-2)]

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

integrate((d*x^n)^(1/2)/x^2,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(166\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d x^n}}{x^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((d*x^n)^(1/2)/x^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(n/2-3>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(167\)

Maxima [F(-2)]

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

integrate((d*x^n)^(3/2)/x^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((3*n)/2-2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(171\)

Maxima [F(-2)]

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

integrate((d*x^n)^(3/2)/x^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((3*n)/2-3>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(172\)

Maxima [F(-2)]

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

integrate((d*x^n)^(3/2)/x^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((3*n)/2-4>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(173\)

Maxima [F(-2)]

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

integrate(x^2/(d*x^n)^(1/2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(174\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt {d x^n}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x/(d*x^n)^(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(1-n/2>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(175\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {d x^n}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(1/(d*x^n)^(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(-n/2>0)', see `assume?` for more 
 details)I
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(176\)

Maxima [F(-2)]

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

integrate(x^2/(d*x^n)^(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(2-(3*n)/2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(180\)

Maxima [F(-2)]

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

integrate(x/(d*x^n)^(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(1-(3*n)/2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(181\)

Maxima [F(-2)]

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

integrate(1/(d*x^n)^(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(-(3*n)/2>0)', see `assume?` for 
more detai
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(182\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(242\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(243\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(244\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(245\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(251\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(252\)

Maxima [F(-2)]

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

integrate((c*x^2)^(3/2)*(b*x+a)/x^4,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(253\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(260\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(261\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(290\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(291\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(292\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(293\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(299\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(300\)

Maxima [F(-2)]

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

integrate((c*x^2)^(3/2)*(b*x+a)^2/x^4,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(301\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(306\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(307\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(308\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(309\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(338\)

Maxima [F(-2)]

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

integrate(x/(b*x^2+a)^(3/2)+x/(x^2+1)/(b*x^2+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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(192\)

Maxima [F(-2)]

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

integrate(x*(b*x^2+x^2+a+1)/(x^2+1)/(b*x^2+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-4*b>0)', see `assume?` for m 
ore detail
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(193\)

Maxima [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\left (a+b x^2\right )^{5/2}}+\frac {x}{\left (a+b x^2\right )^{3/2}}+\frac {x}{\left (1+x^2\right ) \sqrt {a+b x^2}}\right ) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x/(b*x^2+a)^(5/2)+x/(b*x^2+a)^(3/2)+x/(x^2+1)/(b*x^2+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-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(194\)