Integrals 201 to 300

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(-2+p)}{(a+b{x}^n)}^p}{{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(-2+p))*(a+b*x**n)**p/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $550$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(-3+p)}{(a+b{x}^n)}^p}{c+d{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(-3+p))*(a+b*x**n)**p/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $557$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(-3+p)}{(a+b{x}^n)}^p}{{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(-3+p))*(a+b*x**n)**p/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $558$

Sympy [F(-2)]

Exception generated. $$\int (ex{)}^m{(a+b{x}^n)}^p{(c+d{x}^n)}^{q}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(a+b*x**n)**p*(c+d*x**n)**q,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $564$

Sympy [F(-2)]

Exception generated. $$\int x^{-1-n(3+2p)}{(a+b{x}^n)}^p{(c+d{x}^n)}^{p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(3+2*p))*(a+b*x**n)**p*(c+d*x**n)**p,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $565$

Sympy [F(-2)]

Exception generated. $$\int x^{-1-n(2+2p)}{(a+b{x}^n)}^p{(c+d{x}^n)}^{p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(2+2*p))*(a+b*x**n)**p*(c+d*x**n)**p,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $566$

Sympy [F(-2)]

Exception generated. $$\int x^{-1-n(1+2p)}{(a+b{x}^n)}^p{(c+d{x}^n)}^{p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(1+2*p))*(a+b*x**n)**p*(c+d*x**n)**p,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $567$

Sympy [F(-2)]

Exception generated. $$\int x^{-1-n(-1+2p)}{(a+b{x}^n)}^p{(c+d{x}^n)}^{p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(-1+2*p))*(a+b*x**n)**p*(c+d*x**n)**p,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $569$

Sympy [F(-2)]

Exception generated. $$\int x^{-1+3n}{(a+b{x}^n)}^p{(c+d{x}^n)}^{q}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1+3*n)*(a+b*x**n)**p*(c+d*x**n)**q,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $570$

Sympy [F(-2)]

Exception generated. $$\int x^{-1+2n}{(a+b{x}^n)}^p{(c+d{x}^n)}^{q}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1+2*n)*(a+b*x**n)**p*(c+d*x**n)**q,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $571$

Sympy [F(-2)]

Exception generated. $$\int x^{-1+n}{(a+b{x}^n)}^p{(c+d{x}^n)}^{q}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1+n)*(a+b*x**n)**p*(c+d*x**n)**q,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $572$

Sympy [F(-2)]

Exception generated. $$\int x^{-1-n}{(a+b{x}^n)}^p{(c+d{x}^n)}^{q}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n)*(a+b*x**n)**p*(c+d*x**n)**q,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $574$

Sympy [F(-2)]

Exception generated. $$\int x^{-1-2n}{(a+b{x}^n)}^p{(c+d{x}^n)}^{q}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-2*n)*(a+b*x**n)**p*(c+d*x**n)**q,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $575$

Sympy [F(-2)]

Exception generated. $$\int {(a+b{x}^n)}^p{(c+d{x}^n)}^q{(e+f{x}^n)}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p*(c+d*x**n)**q*(e+f*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/58_1.1.3.5

Test file number $58$

Integral number in file $7$

Sympy [F(-2)]

Exception generated. $$\int {(a+b{x}^n)}^p{(c+d{x}^n)}^q(e+f{x}^n)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p*(c+d*x**n)**q*(e+f*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/58_1.1.3.5

Test file number $58$

Integral number in file $8$

Sympy [F(-2)]

Exception generated. $$\int {(a+b{x}^n)}^p{(c+d{x}^n)}^{q}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p*(c+d*x**n)**q,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/58_1.1.3.5

Test file number $58$

Integral number in file $9$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(a+b{x}^n)}^p{(c+d{x}^n)}^q}{e+f{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p*(c+d*x**n)**q/(e+f*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/58_1.1.3.5

Test file number $58$

Integral number in file $10$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m(A+B{x}^n){(c+d{x}^n)}^3}{{(a+b{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(A+B*x**n)*(c+d*x**n)**3/(a+b*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $38$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m(A+B{x}^n)}{(a+b{x}^n)(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $44$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m(A+B{x}^n)}{{(a+b{x}^n)}^2(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)**2/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $45$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m(A+B{x}^n)}{{(a+b{x}^n)}^3(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)**3/(c+d*x**n),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $46$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m{(a+b{x}^n)}^3(A+B{x}^n)}{{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(a+b*x**n)**3*(A+B*x**n)/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $47$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m(A+B{x}^n)}{(a+b{x}^n){(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $51$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m(A+B{x}^n)}{{(a+b{x}^n)}^2{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)**2/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $52$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m(A+B{x}^n)}{(a+b{x}^n){(c+d{x}^n)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)/(c+d*x**n)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $57$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m{(a+b{x}^n)}^p(A+B{x}^n)}{c+d{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(a+b*x**n)**p*(A+B*x**n)/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $60$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m{(a+b{x}^n)}^p(A+B{x}^n)}{{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(a+b*x**n)**p*(A+B*x**n)/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $61$

Sympy [F(-2)]

Exception generated. $$\int (ex{)}^m{(a+b{x}^n)}^p(A+B{x}^n){(c+d{x}^n)}^{q}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(a+b*x**n)**p*(A+B*x**n)*(c+d*x**n)**q,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $62$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^n}{\sqrt{a+b{x}^n}(c+d{x}^n)(e+f{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**n/(a+b*x**n)**(1/2)/(c+d*x**n)/(e+f*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $63$

Sympy [F(-2)]

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

integrate(x**(2*n)/(a+b*x**n)**(1/2)/(c+d*x**n)/(e+f*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $64$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{3n}}{\sqrt{a+b{x}^n}(c+d{x}^n)(e+f{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(3*n)/(a+b*x**n)**(1/2)/(c+d*x**n)/(e+f*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $65$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{4n}}{\sqrt{a+b{x}^n}(c+d{x}^n)(e+f{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(4*n)/(a+b*x**n)**(1/2)/(c+d*x**n)/(e+f*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $66$

Sympy [F(-2)]

Exception generated. $$\int (gx{)}^m{(a+b{x}^n)}^p{(c+d{x}^n)}^q{(e+f{x}^n)}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((g*x)**m*(a+b*x**n)**p*(c+d*x**n)**q*(e+f*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $85$

Sympy [F(-2)]

Exception generated. $$\int (gx{)}^m{(a+b{x}^n)}^p{(c+d{x}^n)}^q(e+f{x}^n)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((g*x)**m*(a+b*x**n)**p*(c+d*x**n)**q*(e+f*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $86$

Sympy [F(-2)]

Exception generated. $$\int (gx{)}^m{(a+b{x}^n)}^p{(c+d{x}^n)}^{q}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((g*x)**m*(a+b*x**n)**p*(c+d*x**n)**q,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $87$

Sympy [F(-2)]

Exception generated. $$\int \frac{(gx{)}^m{(a+b{x}^n)}^p{(c+d{x}^n)}^q}{e+f{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((g*x)**m*(a+b*x**n)**p*(c+d*x**n)**q/(e+f*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number $59$

Integral number in file $88$

Sympy [F(-2)]

Exception generated. $$\int {(a+b{x}^n)}^p(A+B{x}^n+C{x}^{2n}+D{x}^{3n})dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p*(A+B*x**n+C*x**(2*n)+D*x**(3*n)),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.7/63_1.1.3.7_c

Test file number $63$

Integral number in file $70$

Sympy [F(-2)]

Exception generated. $$\int (hx{)}^{-1-n-np}{(a+b{x}^n)}^p{(c+d{x}^n)}^p(ac-bd{x}^{2n})dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((h*x)**(-n*p-n-1)*(a+b*x**n)**p*(c+d*x**n)**p*(a*c-b*d*x**(2*n)) 
,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.8/66_1.1.3.8_c

Test file number $66$

Integral number in file $36$

Sympy [F(-2)]

Exception generated. $$\int {(a+b{x}^n)}^p{(c+d{x}^n)}^p(e+\frac{(bc+ad)e(1+n+np)x^n}{ac}+\frac{bde(1+2n+2np)x^{2n}}{ac})dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p*(c+d*x**n)**p*(e+(a*d+b*c)*e*(n*p+n+1)*x**n/a/c+b* 
d*e*(2*n*p+2*n+1)*x**(2*n)/a/c),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.8/66_1.1.3.8_c

Test file number $66$

Integral number in file $37$

Sympy [F(-2)]

Exception generated. $$\int (hx{)}^m{(a+b{x}^n)}^p{(c+d{x}^n)}^p(e+\frac{(bc+ad)e(1+m+n+np)x^n}{ac(1+m)}+\frac{bde(1+m+2n+2np)x^{2n}}{ac(1+m)})dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((h*x)**m*(a+b*x**n)**p*(c+d*x**n)**p*(e+(a*d+b*c)*e*(n*p+m+n+1)* 
x**n/a/c/(1+m)+b*d*e*(2*n*p+m+2*n+1)*x**(2*n)/a/c/(1+m)),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.8/66_1.1.3.8_c

Test file number $66$

Integral number in file $38$

Sympy [F(-2)]

Exception generated. $$\int {(a+b{x}^n)}^p{(c+d{x}^n)}^q(aAc+A(bc(1+n(1+p))+ad(1+n(1+q)))x^n+Abd(1+n(2+p+q))x^{2n})dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p*(c+d*x**n)**q*(a*A*c+A*(b*c*(1+n*(p+1))+a*d*(1+n*( 
1+q)))*x**n+A*b*d*(1+n*(2+p+q))*x**(2*n)),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/67_1.1.3.9

Test file number $67$

Integral number in file $5$

Sympy [F(-2)]

Exception generated. $$\int x^m(A+B{x}^2+C{x}^3){(a+b{x}^n)}^p{(c+d{x}^n)}^{q}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**m*(C*x**3+B*x**2+A)*(a+b*x**n)**p*(c+d*x**n)**q,x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/68_1.1.3.10

Test file number $68$

Integral number in file $6$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m{(c^2-d^2{x}^2)}^{5/2}}{(c+dx{)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(-d**2*x**2+c**2)**(5/2)/(d*x+c)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number $72$

Integral number in file $1170$

Sympy [F(-2)]

Exception generated. $$\int \frac{(c+dx{)}^n}{x^2(a+b{x}^2)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n/x**2/(b*x**2+a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number $73$

Integral number in file $1788$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m(c+dx{)}^n}{a+b{x}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(d*x+c)**n/(b*x**2+a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number $73$

Integral number in file $1822$

Sympy [F(-2)]

Exception generated. $$\int (ex{)}^m(c+dx{)}^n{(a+b{x}^2)}^{p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(d*x+c)**n*(b*x**2+a)**p,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number $73$

Integral number in file $1948$

Sympy [F(-2)]

Exception generated. $$\int \frac{(c+dx{)}^n}{x^2(a+b{x}^2)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n/x**2/(b*x**2+a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/75_x1_2.2_b_symbolic

Test file number $75$

Integral number in file $220$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m(c+dx{)}^n}{a+b{x}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(d*x+c)**n/(b*x**2+a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/75_x1_2.2_b_symbolic

Test file number $75$

Integral number in file $281$

Sympy [F(-2)]

Exception generated. $$\int (ex{)}^m(c+dx{)}^n{(a+b{x}^2)}^{p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(d*x+c)**n*(b*x**2+a)**p,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/75_x1_2.2_b_symbolic

Test file number $75$

Integral number in file $371$

Sympy [F(-2)]

Exception generated. $$\int x^4{(c+d\sqrt{a+b{x}^2})}^{p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**4*(c+d*(b*x**2+a)**(1/2))**p,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number $77$

Integral number in file $295$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(a^2+2abx+b^2{x}^2)}^{5/2}}{(d+ex{)}^7}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b**2*x**2+2*a*b*x+a**2)**(5/2)/(e*x+d)**7,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number $90$

Integral number in file $303$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(a^2+2abx+b^2{x}^2)}^{5/2}}{(d+ex{)}^{12}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b**2*x**2+2*a*b*x+a**2)**(5/2)/(e*x+d)**12,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number $90$

Integral number in file $308$

Sympy [F(-2)]

Exception generated. $$\int (d+ex{)}^m{(a^2+2abx+b^2{x}^2)}^{5/2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m*(b**2*x**2+2*a*b*x+a**2)**(5/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number $90$

Integral number in file $417$

Sympy [F(-2)]

Exception generated. $$\int (d+ex{)}^m\sqrt{a^2+2abx+b^2{x}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m*((b*x+a)**2)**(1/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number $90$

Integral number in file $419$

Sympy [F(-2)]

Exception generated. $$\int \frac{(d+ex{)}^m}{{(a^2+2abx+b^2{x}^2)}^{3/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m/(b**2*x**2+2*a*b*x+a**2)**(3/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number $90$

Integral number in file $421$

Sympy [F(-2)]

Exception generated. $$\int \frac{(d+ex{)}^m}{{(a^2+2abx+b^2{x}^2)}^{5/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m/(b**2*x**2+2*a*b*x+a**2)**(5/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number $90$

Integral number in file $422$

Sympy [F(-2)]

Exception generated. $$\int (d+ex{)}^p{(c{d}^2+2cdex+c{e}^2{x}^2)}^{-p}dx=\text{Exception raised: TypeError}$$ Input:

integrate((e*x+d)**p/((c*e**2*x**2+2*c*d*e*x+c*d**2)**p),x)
 

Output:

Exception raised: TypeError >> Invalid NaN comparison
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number $90$

Integral number in file $446$

Sympy [F(-2)]

Exception generated. $$\int (d+ex{)}^m{(a^2+2abx+b^2{x}^2)}^{p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m*(b**2*x**2+2*a*b*x+a**2)**p,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number $90$

Integral number in file $451$

Sympy [F(-2)]

Exception generated. $$\int (d+ex{)}^m{(a^2+2abx+b^2{x}^2)}^{5+p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m*(b**2*x**2+2*a*b*x+a**2)**(5+p),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number $90$

Integral number in file $452$

Sympy [F(-2)]

Exception generated. $$\int \frac{(d+ex{)}^m}{{(ade+(c{d}^2+a{e}^2)x+cde{x}^2)}^4}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m/(a*d*e+(a*e**2+c*d**2)*x+c*d*e*x**2)**4,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/91_1.2.1.2_c

Test file number $91$

Integral number in file $388$

Sympy [F(-2)]

Exception generated. $$\int (d+ex{)}^m{(ade+(c{d}^2+a{e}^2)x+cde{x}^2)}^{-m}dx=\text{Exception raised: TypeError}$$ Input:

integrate((e*x+d)**m/((a*d*e+(a*e**2+c*d**2)*x+c*d*e*x**2)**m),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >> Invalid NaN comparison
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/91_1.2.1.2_c

Test file number $91$

Integral number in file $403$

Sympy [F(-2)]

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

integrate((e*x+d)**m*(c*x**2+b*x+a)**(5/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/92_1.2.1.2_d

Test file number $92$

Integral number in file $767$

Sympy [F(-2)]

Exception generated. $$\int \frac{(e+fx{)}^n{(1-d^2{x}^2)}^{3/2}}{(1-dx{)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((f*x+e)**n*(-d**2*x**2+1)**(3/2)/(-d*x+1)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/93_1.2.1.3_a

Test file number $93$

Integral number in file $127$

Sympy [F(-2)]

Exception generated. $$\int \frac{(f+gx{)}^n{(d^2-e^2{x}^2)}^p}{d+ex}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((g*x+f)**n*(-e**2*x**2+d**2)**p/(e*x+d),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/93_1.2.1.3_a

Test file number $93$

Integral number in file $138$

Sympy [F(-2)]

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

integrate((e*x+d)**m*(c*x**2+a)/(g*x+f)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/95_1.2.1.3_c

Test file number $95$

Integral number in file $153$

Sympy [F(-2)]

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

integrate((e*x+d)**m*(c*x**2+a)**2/(g*x+f)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/95_1.2.1.3_c

Test file number $95$

Integral number in file $159$

Sympy [F(-2)]

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

integrate((e*x+d)**m*(c*x**2+a)/(f*x+e)**(3/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/95_1.2.1.3_c

Test file number $95$

Integral number in file $161$

Sympy [F(-2)]

Exception generated. $$\int (d+ex{)}^m(f+gx{)}^n(a+c{x}^2)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m*(g*x+f)**n*(c*x**2+a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/95_1.2.1.3_c

Test file number $95$

Integral number in file $172$

Sympy [F(-2)]

Exception generated. $$\int (d+ex{)}^m(f+gx{)}^n{(ade+(c{d}^2+a{e}^2)x+cde{x}^2)}^{-m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m*(g*x+f)**n/((a*d*e+(a*e**2+c*d**2)*x+c*d*e*x**2)**m), 
x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/97_1.2.1.3_d2

Test file number $97$

Integral number in file $111$

Sympy [F(-2)]

Exception generated. $$\int (d+ex{)}^m(f+gx){(ade+(c{d}^2+a{e}^2)x+cde{x}^2)}^{-m}dx=\text{Exception raised: TypeError}$$ Input:

integrate((e*x+d)**m*(g*x+f)/((a*d*e+(a*e**2+c*d**2)*x+c*d*e*x**2)**m),x)
 

Output:

Exception raised: TypeError >> Invalid NaN comparison
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/97_1.2.1.3_d2

Test file number $97$

Integral number in file $114$

Sympy [F(-2)]

Exception generated. $$\int (d+ex{)}^m{(ade+(c{d}^2+a{e}^2)x+cde{x}^2)}^{-m}dx=\text{Exception raised: TypeError}$$ Input:

integrate((e*x+d)**m/((a*d*e+(a*e**2+c*d**2)*x+c*d*e*x**2)**m),x)
 

Output:

Exception raised: TypeError >> Invalid NaN comparison
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/97_1.2.1.3_d2

Test file number $97$

Integral number in file $115$

Sympy [F(-2)]

Exception generated. $$\int \frac{(d+ex{)}^m{(ade+(c{d}^2+a{e}^2)x+cde{x}^2)}^{-m}}{f+gx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m/(g*x+f)/((a*d*e+(a*e**2+c*d**2)*x+c*d*e*x**2)**m),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/97_1.2.1.3_d2

Test file number $97$

Integral number in file $116$

Sympy [F(-2)]

Exception generated. $$\int \frac{(d+ex{)}^m{(ade+(c{d}^2+a{e}^2)x+cde{x}^2)}^{-m}}{(f+gx{)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m/(g*x+f)**3/((a*d*e+(a*e**2+c*d**2)*x+c*d*e*x**2)**m), 
x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/97_1.2.1.3_d2

Test file number $97$

Integral number in file $118$

Sympy [F(-2)]

Exception generated. $$\int \frac{(d+ex{)}^m(f+gx)}{{(c{d}^2-bde-b{e}^{2}x-c{e}^2{x}^2)}^{5/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m*(g*x+f)/(-c*e**2*x**2-b*e**2*x-b*d*e+c*d**2)**(5/2),x 
)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/97_1.2.1.3_d2

Test file number $97$

Integral number in file $254$

Sympy [F(-2)]

Exception generated. $$\int \frac{(d+ex{)}^m(f+gx)}{{(c{d}^2-bde-b{e}^{2}x-c{e}^2{x}^2)}^{7/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x+d)**m*(g*x+f)/(-c*e**2*x**2-b*e**2*x-b*d*e+c*d**2)**(7/2),x 
)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/97_1.2.1.3_d2

Test file number $97$

Integral number in file $255$

Sympy [F(-2)]

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

integrate(x**3*(e*x+d)**m/(c*x**2+b*x+a),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/99_1.2.1.3_e2

Test file number $99$

Integral number in file $125$

Sympy [F(-2)]

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

integrate((e*x+d)**m*(c*x**2+b*x+a)**p/x**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.3/99_1.2.1.3_e2

Test file number $99$

Integral number in file $138$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx){(a^2+2abx+b^2{x}^2)}^{3/2}}{(d+ex{)}^{12}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(b**2*x**2+2*a*b*x+a**2)**(3/2)/(e*x+d)**12,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $146$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx){(a^2+2abx+b^2{x}^2)}^{5/2}}{(d+ex{)}^7}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(b**2*x**2+2*a*b*x+a**2)**(5/2)/(e*x+d)**7,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $163$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx){(a^2+2abx+b^2{x}^2)}^{5/2}}{(d+ex{)}^{12}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(b**2*x**2+2*a*b*x+a**2)**(5/2)/(e*x+d)**12,x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $168$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx){(a^2+2abx+b^2{x}^2)}^{5/2}}{(d+ex{)}^{13}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(b**2*x**2+2*a*b*x+a**2)**(5/2)/(e*x+d)**13,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $169$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx){(a^2+2abx+b^2{x}^2)}^{5/2}}{(d+ex{)}^{14}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(b**2*x**2+2*a*b*x+a**2)**(5/2)/(e*x+d)**14,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $170$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx){(a^2+2abx+b^2{x}^2)}^{5/2}}{(d+ex{)}^{17}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(b**2*x**2+2*a*b*x+a**2)**(5/2)/(e*x+d)**17,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $173$

Sympy [F(-2)]

Exception generated. $$\int (a+bx)(d+ex{)}^m{(a^2+2abx+b^2{x}^2)}^{5/2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(e*x+d)**m*(b**2*x**2+2*a*b*x+a**2)**(5/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $260$

Sympy [F(-2)]

Exception generated. $$\int (a+bx)(d+ex{)}^m{(a^2+2abx+b^2{x}^2)}^{3/2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(e*x+d)**m*(b**2*x**2+2*a*b*x+a**2)**(3/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $261$

Sympy [F(-2)]

Exception generated. $$\int (a+bx)(d+ex{)}^m\sqrt{a^2+2abx+b^2{x}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(e*x+d)**m*((b*x+a)**2)**(1/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $262$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx)(d+ex{)}^m}{{(a^2+2abx+b^2{x}^2)}^{3/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(e*x+d)**m/(b**2*x**2+2*a*b*x+a**2)**(3/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $264$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx)(d+ex{)}^m}{{(a^2+2abx+b^2{x}^2)}^{5/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(e*x+d)**m/(b**2*x**2+2*a*b*x+a**2)**(5/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $265$

Sympy [F(-2)]

Exception generated. $$\int \frac{(A+Bx){(a^2+2abx+b^2{x}^2)}^{3/2}}{(d+ex{)}^{12}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((B*x+A)*(b**2*x**2+2*a*b*x+a**2)**(3/2)/(e*x+d)**12,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $407$

Sympy [F(-2)]

Exception generated. $$\int \frac{(A+Bx){(a^2+2abx+b^2{x}^2)}^{5/2}}{(d+ex{)}^7}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((B*x+A)*(b**2*x**2+2*a*b*x+a**2)**(5/2)/(e*x+d)**7,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $421$

Sympy [F(-2)]

Exception generated. $$\int \frac{(A+Bx){(a^2+2abx+b^2{x}^2)}^{5/2}}{(d+ex{)}^{12}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((B*x+A)*(b**2*x**2+2*a*b*x+a**2)**(5/2)/(e*x+d)**12,x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $426$

Sympy [F(-2)]

Exception generated. $$\int \frac{(A+Bx){(a^2+2abx+b^2{x}^2)}^{5/2}}{(d+ex{)}^{13}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((B*x+A)*(b**2*x**2+2*a*b*x+a**2)**(5/2)/(e*x+d)**13,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $427$

Sympy [F(-2)]

Exception generated. $$\int \frac{(A+Bx){(a^2+2abx+b^2{x}^2)}^{5/2}}{(d+ex{)}^{14}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((B*x+A)*(b**2*x**2+2*a*b*x+a**2)**(5/2)/(e*x+d)**14,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $428$

Sympy [F(-2)]

Exception generated. $$\int (A+Bx)(d+ex{)}^m{(a^2+2abx+b^2{x}^2)}^{5/2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((B*x+A)*(e*x+d)**m*(b**2*x**2+2*a*b*x+a**2)**(5/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $507$

Sympy [F(-2)]

Exception generated. $$\int (A+Bx)(d+ex{)}^m{(a^2+2abx+b^2{x}^2)}^{3/2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((B*x+A)*(e*x+d)**m*(b**2*x**2+2*a*b*x+a**2)**(3/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $508$

Sympy [F(-2)]

Exception generated. $$\int (A+Bx)(d+ex{)}^m\sqrt{a^2+2abx+b^2{x}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((B*x+A)*(e*x+d)**m*((b*x+a)**2)**(1/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $509$

Sympy [F(-2)]

Exception generated. $$\int \frac{(A+Bx)(d+ex{)}^m}{{(a^2+2abx+b^2{x}^2)}^{3/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((B*x+A)*(e*x+d)**m/(b**2*x**2+2*a*b*x+a**2)**(3/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $511$

Sympy [F(-2)]

Exception generated. $$\int (A+Bx)(d+ex{)}^m{(a^2+2abx+b^2{x}^2)}^{p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((B*x+A)*(e*x+d)**m*(b**2*x**2+2*a*b*x+a**2)**p,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $512$

Sympy [F(-2)]

Exception generated. $$\int \frac{(f+gx){(a+bx+c{x}^2)}^{7/2}}{(d+ex{)}^7}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((g*x+f)*(c*x**2+b*x+a)**(7/2)/(e*x+d)**7,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $101$

Integral number in file $908$

Sympy [F(-2)]

Exception generated. $$\int \frac{(f+gx{)}^n(a+2cdx+ce{x}^2)}{(d+ex{)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((g*x+f)**n*(c*e*x**2+2*c*d*x+a)/(e*x+d)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

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

Test file number $102$

Integral number in file $699$