Integrals 3001 to 3100

Maxima [F(-2)]

Exception generated. $$\int (f+gx{)}^2{(21e^2{f}^2-30defg+\frac{25d^2{g}^2}{2}-2eg(-6ef+\frac{5dg}{2})x+\frac{7}{2}{e}^2{g}^2{x}^2)}^{3/2}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $863$

Maxima [F(-2)]

Exception generated. $$\int \frac{(f+gx{)}^2{(6e^2{f}^2-20defg+\frac{25d^2{g}^2}{2}+2eg(-4ef+\frac{5dg}{2})x-\frac{3}{2}{e}^2{g}^2{x}^2)}^{3/2}}{(d+ex{)}^2}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $864$

Maxima [F(-2)]

Exception generated. $$\int \frac{(f+gx{)}^2{(\frac{3e^2{f}^2}{2}-15defg+\frac{25d^2{g}^2}{2}+4eg(-3ef+\frac{5dg}{2})x-e^2{g}^2{x}^2)}^{3/2}}{(d+ex{)}^3}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $865$

Maxima [F(-2)]

Exception generated. $$\int \frac{(d+ex{)}^3(f+gx{)}^2}{\sqrt{\frac{45e^2{f}^2}{2}-5defg+\frac{d^2{g}^2}{2}-8eg(-5ef+\frac{dg}{2})x+18e^2{g}^2{x}^2}}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $866$

Maxima [F(-2)]

Exception generated. $$\int \frac{(d+ex{)}^2(f+gx{)}^2}{\sqrt{14e^2{f}^2-4defg+\frac{d^2{g}^2}{2}-6eg(-4ef+\frac{dg}{2})x+\frac{21}{2}{e}^2{g}^2{x}^2}}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $867$

Maxima [F(-2)]

Exception generated. $$\int \frac{(d+ex)(f+gx{)}^2}{\sqrt{\frac{15e^2{f}^2}{2}-3defg+\frac{d^2{g}^2}{2}-4eg(-3ef+\frac{dg}{2})x+5e^2{g}^2{x}^2}}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $868$

Maxima [F(-2)]

Exception generated. $$\int \frac{(f+gx{)}^2}{\sqrt{3e^2{f}^2-2defg+\frac{d^2{g}^2}{2}-2eg(-2ef+\frac{dg}{2})x+\frac{3}{2}{e}^2{g}^2{x}^2}}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $869$

Maxima [F(-2)]

Exception generated. $$\int \frac{(f+gx{)}^2}{(d+ex{)}^3\sqrt{\frac{3e^2{f}^2}{2}+defg+\frac{d^2{g}^2}{2}+4eg(ef+\frac{dg}{2})x+3e^2{g}^2{x}^2}}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $871$

Maxima [F(-2)]

Exception generated. $$\int \frac{(d+ex{)}^3(f+gx{)}^2}{{(\frac{21e^2{f}^2}{2}+3defg+\frac{d^2{g}^2}{2}-8eg(-3ef-\frac{dg}{2})x+14e^2{g}^2{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $872$

Maxima [F(-2)]

Exception generated. $$\int \frac{(d+ex{)}^2(f+gx{)}^2}{{(5e^2{f}^2+2defg+\frac{d^2{g}^2}{2}-6eg(-2ef-\frac{dg}{2})x+\frac{15}{2}{e}^2{g}^2{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $873$

Maxima [F(-2)]

Exception generated. $$\int \frac{(d+ex)(f+gx{)}^2}{{(\frac{3e^2{f}^2}{2}+defg+\frac{d^2{g}^2}{2}-4eg(-ef-\frac{dg}{2})x+3e^2{g}^2{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $874$

Maxima [F(-2)]

Exception generated. $$\int \frac{(f+gx{)}^2}{(d+ex{)}^2{(3e^2{f}^2-2defg+\frac{d^2{g}^2}{2}+2eg(2ef-\frac{dg}{2})x+\frac{3}{2}{e}^2{g}^2{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $876$

Maxima [F(-2)]

Exception generated. $$\int \frac{(f+gx{)}^2}{(d+ex{)}^3{(\frac{15e^2{f}^2}{2}-3defg+\frac{d^2{g}^2}{2}+4eg(3ef-\frac{dg}{2})x+5e^2{g}^2{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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/1.2.1.3/103_S1.6.1.f

Test file number $103$

Integral number in file $877$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/1.2.1.4/104_1.2.1.4_a

Test file number $104$

Integral number in file $2$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/1.2.1.4/104_1.2.1.4_a

Test file number $104$

Integral number in file $3$

Maxima [F(-2)]

Exception generated. $$\int \frac{a+bx+\frac{bf{x}^2}{e}}{\sqrt{d+ex+f{x}^2}}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(4*d*f-e^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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $34$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{d+ex+f{x}^2}(a+bx+\frac{bf{x}^2}{e})}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $35$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{a+bx+c{x}^2}(d+bx+c{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(c*x^2+b*x+a)^(1/2)/(c*x^2+b*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(4*c*d-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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $36$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(2-3x)(5+x)(a+bx+c{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(2-3*x)/(5+x)/(c*x^2+b*x+a),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $89$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(10-13x-3x^2)(a+bx+c{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(-3*x^2-13*x+10)/(c*x^2+b*x+a),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $90$

Maxima [F(-2)]

Exception generated. $$\int \sqrt{a+bx+c{x}^2}{(d+ex+f{x}^2)}^{2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+b*x+a)^(1/2)*(f*x^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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $135$

Maxima [F(-2)]

Exception generated. $$\int \sqrt{a+bx+c{x}^2}(d+ex+f{x}^2)dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+b*x+a)^(1/2)*(f*x^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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $136$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+bx+c{x}^2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+b*x+a)^(1/2)/(f*x^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(4*d*f-e^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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $137$

Maxima [F(-2)]

Exception generated. $$\int {(a+bx+c{x}^2)}^{3/2}{(d+ex+f{x}^2)}^{2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+b*x+a)^(3/2)*(f*x^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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $140$

Maxima [F(-2)]

Exception generated. $$\int {(a+bx+c{x}^2)}^{3/2}(d+ex+f{x}^2)dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+b*x+a)^(3/2)*(f*x^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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $141$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(a+bx+c{x}^2)}^{3/2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+b*x+a)^(3/2)/(f*x^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(4*d*f-e^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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $142$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(d+ex+f{x}^2)}^3}{\sqrt{a+bx+c{x}^2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((f*x^2+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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $147$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(d+ex+f{x}^2)}^2}{\sqrt{a+bx+c{x}^2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((f*x^2+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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $148$

Maxima [F(-2)]

Exception generated. $$\int \frac{d+ex+f{x}^2}{\sqrt{a+bx+c{x}^2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((f*x^2+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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $149$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{a+bx+c{x}^2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(c*x^2+b*x+a)^(1/2)/(f*x^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(4*d*f-e^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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $150$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(d+ex+f{x}^2)}^3}{{(a+bx+c{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((f*x^2+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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $153$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(d+ex+f{x}^2)}^2}{{(a+bx+c{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((f*x^2+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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $154$

Maxima [F(-2)]

Exception generated. $$\int \frac{d+ex+f{x}^2}{{(a+bx+c{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((f*x^2+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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $155$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{{(a+bx+c{x}^2)}^{3/2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(c*x^2+b*x+a)^(3/2)/(f*x^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(4*d*f-e^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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $156$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(d+ex+f{x}^2)}^2}{{(a+bx+c{x}^2)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((f*x^2+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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $159$

Maxima [F(-2)]

Exception generated. $$\int \frac{d+ex+f{x}^2}{{(a+bx+c{x}^2)}^{5/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((f*x^2+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(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/1.2.1.4/105_1.2.1.4_b

Test file number $105$

Integral number in file $160$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2\sqrt{a+c{x}^2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2*(c*x^2+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $19$

Maxima [F(-2)]

Exception generated. $$\int \frac{x\sqrt{a+c{x}^2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x*(c*x^2+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $20$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+c{x}^2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $21$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2{(a+c{x}^2)}^{3/2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2*(c*x^2+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $25$

Maxima [F(-2)]

Exception generated. $$\int \frac{x{(a+c{x}^2)}^{3/2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x*(c*x^2+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $26$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(a+c{x}^2)}^{3/2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $27$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{\sqrt{a+c{x}^2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^3/(c*x^2+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $31$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{\sqrt{a+c{x}^2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2/(c*x^2+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $32$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{\sqrt{a+c{x}^2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x/(c*x^2+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $33$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{a+c{x}^2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(c*x^2+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $34$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{{(a+c{x}^2)}^{3/2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^3/(c*x^2+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $38$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{{(a+c{x}^2)}^{3/2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2/(c*x^2+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $39$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{{(a+c{x}^2)}^{3/2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x/(c*x^2+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $40$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{{(a+c{x}^2)}^{3/2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(c*x^2+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $41$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3\sqrt{a+bx+c{x}^2}}{d-f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^3*(c*x^2+b*x+a)^(1/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $44$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2\sqrt{a+bx+c{x}^2}}{d-f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2*(c*x^2+b*x+a)^(1/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $45$

Maxima [F(-2)]

Exception generated. $$\int \frac{x\sqrt{a+bx+c{x}^2}}{d-f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x*(c*x^2+b*x+a)^(1/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $46$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+bx+c{x}^2}}{d-f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+b*x+a)^(1/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $47$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3{(a+bx+c{x}^2)}^{3/2}}{d-f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^3*(c*x^2+b*x+a)^(3/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $51$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2{(a+bx+c{x}^2)}^{3/2}}{d-f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2*(c*x^2+b*x+a)^(3/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $52$

Maxima [F(-2)]

Exception generated. $$\int \frac{x{(a+bx+c{x}^2)}^{3/2}}{d-f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x*(c*x^2+b*x+a)^(3/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $53$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(a+bx+c{x}^2)}^{3/2}}{d-f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+b*x+a)^(3/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $54$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(a+bx+c{x}^2)}^{3/2}}{1-x^2}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/106_1.2.1.5

Test file number $106$

Integral number in file $58$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^4}{\sqrt{a+bx+c{x}^2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^4/(c*x^2+b*x+a)^(1/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $61$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{\sqrt{a+bx+c{x}^2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^3/(c*x^2+b*x+a)^(1/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $62$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{\sqrt{a+bx+c{x}^2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2/(c*x^2+b*x+a)^(1/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $63$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{\sqrt{a+bx+c{x}^2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x/(c*x^2+b*x+a)^(1/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $64$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{a+bx+c{x}^2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(c*x^2+b*x+a)^(1/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $65$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^4}{{(a+bx+c{x}^2)}^{3/2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^4/(c*x^2+b*x+a)^(3/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $69$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{{(a+bx+c{x}^2)}^{3/2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^3/(c*x^2+b*x+a)^(3/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $70$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{{(a+bx+c{x}^2)}^{3/2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2/(c*x^2+b*x+a)^(3/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $71$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{{(a+bx+c{x}^2)}^{3/2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x/(c*x^2+b*x+a)^(3/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $72$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{{(a+bx+c{x}^2)}^{3/2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(c*x^2+b*x+a)^(3/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $73$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+Bx}{(a+bx+c{x}^2)(d+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)/(c*x^2+b*x+a)/(f*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(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/106_1.2.1.5

Test file number $106$

Integral number in file $79$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+Bx}{{(a+bx+c{x}^2)}^2(d+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)/(c*x^2+b*x+a)^2/(f*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(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/106_1.2.1.5

Test file number $106$

Integral number in file $80$

Maxima [F(-2)]

Exception generated. $$\int \frac{(A+Bx)\sqrt{a+bx+c{x}^2}}{d-f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $81$

Maxima [F(-2)]

Exception generated. $$\int \frac{(A+Bx){(a+bx+c{x}^2)}^{3/2}}{d-f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)*(c*x^2+b*x+a)^(3/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $82$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+Bx}{\sqrt{a+bx+c{x}^2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)/(c*x^2+b*x+a)^(1/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $83$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+Bx}{{(a+bx+c{x}^2)}^{3/2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)/(c*x^2+b*x+a)^(3/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $84$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+Bx}{{(a+bx+c{x}^2)}^{5/2}(d-f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)/(c*x^2+b*x+a)^(5/2)/(-f*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(((c*sqrt(4*d*f))/(2*f^2)>0)', se 
e `assume?
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $85$

Maxima [F(-2)]

Exception generated. $$\int \frac{(A+Bx)(a+bx+c{x}^2)}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)*(c*x^2+b*x+a)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $89$

Maxima [F(-2)]

Exception generated. $$\int \frac{(A+Bx){(a+bx+c{x}^2)}^2}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)*(c*x^2+b*x+a)^2/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $90$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+Bx}{(a+bx+c{x}^2)(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)/(c*x^2+b*x+a)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $91$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+Bx}{{(a+bx+c{x}^2)}^2(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)/(c*x^2+b*x+a)^2/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $92$

Maxima [F(-2)]

Exception generated. $$\int \frac{g+hx}{(a+bx+c{x}^2){(ad+bdx+cd{x}^2)}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((h*x+g)/(c*x^2+b*x+a)/(c*d*x^2+b*d*x+a*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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number $106$

Integral number in file $93$

Maxima [F(-2)]

Exception generated. $$\int \frac{g+hx}{{(a+bx+c{x}^2)}^2(ad+bdx+cd{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate((h*x+g)/(c*x^2+b*x+a)^2/(c*d*x^2+b*d*x+a*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(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/106_1.2.1.5

Test file number $106$

Integral number in file $94$

Maxima [F(-2)]

Exception generated. $$\int \frac{(A+Bx)\sqrt{a+bx+c{x}^2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)*(c*x^2+b*x+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $95$

Maxima [F(-2)]

Exception generated. $$\int \frac{(A+Bx){(a+bx+c{x}^2)}^{3/2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((B*x+A)*(c*x^2+b*x+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $96$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+Bx}{(a+bx+c{x}^2)\sqrt{d+ex+f{x}^2}}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/106_1.2.1.5

Test file number $106$

Integral number in file $97$

Maxima [F(-2)]

Exception generated. $$\int \frac{A+Bx}{(a+bx+c{x}^2)\sqrt{d+f{x}^2}}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/106_1.2.1.5

Test file number $106$

Integral number in file $99$

Maxima [F(-2)]

Exception generated. $$\int \frac{(g+hx)\sqrt{a+bx+c{x}^2}}{{(ad+bdx+cd{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((h*x+g)*(c*x^2+b*x+a)^(1/2)/(c*d*x^2+b*d*x+a*d)^(3/2),x, algorit 
hm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(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/106_1.2.1.5

Test file number $106$

Integral number in file $115$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2\sqrt{a+bx+c{x}^2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2*(c*x^2+b*x+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $130$

Maxima [F(-2)]

Exception generated. $$\int \frac{x\sqrt{a+bx+c{x}^2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x*(c*x^2+b*x+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $131$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{a+bx+c{x}^2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+b*x+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $132$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2{(a+bx+c{x}^2)}^{3/2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2*(c*x^2+b*x+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $135$

Maxima [F(-2)]

Exception generated. $$\int \frac{x{(a+bx+c{x}^2)}^{3/2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x*(c*x^2+b*x+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $136$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(a+bx+c{x}^2)}^{3/2}}{d+ex+f{x}^2}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*x^2+b*x+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $137$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{\sqrt{a+bx+c{x}^2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^3/(c*x^2+b*x+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $141$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{\sqrt{a+bx+c{x}^2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2/(c*x^2+b*x+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $142$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{\sqrt{a+bx+c{x}^2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x/(c*x^2+b*x+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $143$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{a+bx+c{x}^2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(1/(c*x^2+b*x+a)^(1/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $144$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^4}{{(a+bx+c{x}^2)}^{3/2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^4/(c*x^2+b*x+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $148$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^3}{{(a+bx+c{x}^2)}^{3/2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^3/(c*x^2+b*x+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $149$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2}{{(a+bx+c{x}^2)}^{3/2}(d+ex+f{x}^2)}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^2/(c*x^2+b*x+a)^(3/2)/(f*x^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(4*d*f-e^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/106_1.2.1.5

Test file number $106$

Integral number in file $150$