Integrals 1 to 100

Sympy [F(-2)]

Exception generated. $$\int a^x{b}^{-x}dx=\text{Exception raised: TypeError}$$ Input:

integrate(a**x/(b**x),x)
 

Output:

Exception raised: TypeError >> Invalid NaN comparison
 

input file name test_cases/rubi_tests/0_Independent_test_suites/6_Hearn_Problems

Test file number $6$

Integral number in file $160$

Sympy [F(-2)]

Exception generated. $$\int a^{-x}{b}^{-x}{(a^x-b^x)}^{2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a**x-b**x)**2/(a**x)/(b**x),x)
 

Output:

Exception raised: TypeError >> Invalid NaN comparison
 

input file name test_cases/rubi_tests/0_Independent_test_suites/11_Timofeev_Problems

Test file number $11$

Integral number in file $495$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^2\arctan (x)}{{(1+x^2)}^2}dx=\text{Exception raised: RecursionError}$$ Input:

integrate(x**2*atan(x)/(x**2+1)**2,x)
 

Output:

Exception raised: RecursionError >> maximum recursion depth exceeded while 
 calling a Python object
 

input file name test_cases/rubi_tests/0_Independent_test_suites/11_Timofeev_Problems

Test file number $11$

Integral number in file $673$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^3\arctan (x)}{{(1+x^2)}^2}dx=\text{Exception raised: RecursionError}$$ Input:

integrate(x**3*atan(x)/(x**2+1)**2,x)
 

Output:

Exception raised: RecursionError >> maximum recursion depth exceeded
 

input file name test_cases/rubi_tests/0_Independent_test_suites/11_Timofeev_Problems

Test file number $11$

Integral number in file $674$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^5\arctan (x)}{{(1+x^2)}^2}dx=\text{Exception raised: RecursionError}$$ Input:

integrate(x**5*atan(x)/(x**2+1)**2,x)
 

Output:

Exception raised: RecursionError >> maximum recursion depth exceeded
 

input file name test_cases/rubi_tests/0_Independent_test_suites/11_Timofeev_Problems

Test file number $11$

Integral number in file $675$

Sympy [F(-2)]

Exception generated. $$\int (\frac{1}{\sqrt{2}(1+x{)}^2\sqrt{-i+x^2}}+\frac{1}{\sqrt{2}(1+x{)}^2\sqrt{i+x^2}})dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/2/(1+x)**2*2**(1/2)/(-I+x**2)**(1/2)+1/2/(1+x)**2*2**(1/2)/(I+ 
x**2)**(1/2),x)
 

Output:

Exception raised: TypeError >> Invalid comparison of non-real I
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/0_Independent_test_suites/12_Welz_Problems

Test file number $12$

Integral number in file $11$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $772$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-4+n}(c+dx{)}^{-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**(-4+n)/((d*x+c)**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $773$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-3+n}(c+dx{)}^{-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $774$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $775$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^n(c+dx{)}^{-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $777$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $778$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $779$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-n}(c+dx{)}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $780$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $782$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-3-n}(c+dx{)}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $783$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-4-n}(c+dx{)}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**(-4-n)*(d*x+c)**n,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $784$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-5-n}(c+dx{)}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**(-5-n)*(d*x+c)**n,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $785$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^n(c+dx{)}^{-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $786$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $788$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^n(c+dx{)}^{-3-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $789$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^n(c+dx{)}^{-4-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**n*(d*x+c)**(-4-n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $790$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^n(c+dx{)}^{-5-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**n*(d*x+c)**(-5-n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $791$

Sympy [F(-2)]

Exception generated. $$\int {\left(\frac{d(a+bx)}{-bc+ad}\right)}^m(c+dx{)}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $800$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{\pi }dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**pi,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $801$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{\pi }(c+dx{)}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**pi*(d*x+c)**m,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/17_1.1.1.2c

Test file number $17$

Integral number in file $802$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $533$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $560$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $561$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $562$

Sympy [F(-2)]

Exception generated. $$\int \frac{(bx{)}^m(c+dx{)}^n}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $573$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $575$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $576$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $577$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $580$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $581$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $582$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^n(c+dx{)}^{-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $583$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $586$

Sympy [F(-2)]

Exception generated. $$\int x^m(a+bx{)}^{1+n}(c+dx{)}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**m*(b*x+a)**(1+n)*(d*x+c)**n,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/20_1.1.1.3b2

Test file number $20$

Integral number in file $600$

Sympy [F(-2)]

Exception generated. $$\int \frac{(c+dx{)}^{1+m}(e+fx)}{(a+bx{)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $246$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^n(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $249$

Sympy [F(-2)]

Exception generated. $$\int (a+bx)(c+dx{)}^n(e+fx{)}^{-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $252$

Sympy [F(-2)]

Exception generated. $$\int (a+bx)(c+dx{)}^{-1+n}(e+fx{)}^{-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $253$

Sympy [F(-2)]

Exception generated. $$\int (a+bx)(c+dx{)}^{-2+n}(e+fx{)}^{-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $254$

Sympy [F(-2)]

Exception generated. $$\int (a+bx)(c+dx{)}^{-3+n}(e+fx{)}^{-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $255$

Sympy [F(-2)]

Exception generated. $$\int (a+bx)(c+dx{)}^{-4+n}(e+fx{)}^{-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $256$

Sympy [F(-2)]

Exception generated. $$\int (a+bx)(c+dx{)}^{-5+n}(e+fx{)}^{-n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(d*x+c)**(-5+n)/((f*x+e)**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $257$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-n}(c+dx)(e+fx{)}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $258$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-n}(c+dx)(e+fx{)}^{-1+n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $259$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-n}(c+dx)(e+fx{)}^{-2+n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $260$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-n}(c+dx)(e+fx{)}^{-3+n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $261$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-n}(c+dx)(e+fx{)}^{-4+n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $262$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{-n}(c+dx)(e+fx{)}^{-5+n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)*(f*x+e)**(-5+n)/((b*x+a)**n),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $263$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^{1-n}(c+dx{)}^{-2+n}(-ad+bc(3+2n)+2bd(1+n)x)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/21_1.1.1.3c

Test file number $21$

Integral number in file $264$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1685$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-m}(e+fx{)}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1712$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-m}(e+fx{)}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1713$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-m}(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1714$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1715$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{-m}}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1716$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-1-m}(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-1-m)*(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1723$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{-1-m}}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-1-m)/(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1725$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-2-m}(e+fx{)}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-2-m)*(f*x+e)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1730$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-2-m}(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-2-m)*(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1731$

Sympy [F(-2)]

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

integrate((b*x+a)**m*(d*x+c)**(-2-m),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1732$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{-2-m}}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1733$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-3-m}(e+fx{)}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1738$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-3-m}(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-3-m)*(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1739$

Sympy [F(-2)]

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

integrate((b*x+a)**m*(d*x+c)**(-3-m),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1740$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{-3-m}}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1741$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-4-m}(e+fx{)}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-4-m)*(f*x+e)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1744$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-4-m}(e+fx{)}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-4-m)*(f*x+e)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1745$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-4-m}(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-4-m)*(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1746$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-4-m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-4-m),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1747$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{-4-m}}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-4-m)/(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1748$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-5-m}(e+fx{)}^{4}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-5-m)*(f*x+e)**4,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1751$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-5-m}(e+fx{)}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-5-m)*(f*x+e)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1752$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-5-m}(e+fx{)}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1753$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-5-m}(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-5-m)*(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1754$

Sympy [F(-2)]

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

integrate((b*x+a)**m*(d*x+c)**(-5-m),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1755$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{-5-m}}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1756$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{1-m}(e+fx{)}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(1-m)*(f*x+e)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1757$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{1-m}(e+fx{)}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(1-m)*(f*x+e)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1758$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{1-m}(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(1-m)*(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1759$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{1-m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(1-m),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1760$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{1-m}}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(1-m)/(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1761$

Sympy [F(-2)]

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

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1762$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{2-m}(e+fx{)}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1767$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{2-m}(e+fx{)}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(2-m)*(f*x+e)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1768$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{2-m}(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(2-m)*(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1769$

Sympy [F(-2)]

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

integrate((b*x+a)**m*(d*x+c)**(2-m),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1770$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{2-m}}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1771$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{2-m}}{(e+fx{)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1772$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{2-m}}{(e+fx{)}^7}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1777$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{3-m}}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1778$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^{1-n}(c+dx{)}^{1+n}}{bc+ad+2bdx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1781$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^{1-n}(c+dx{)}^{1+n}}{(bc+ad+2bdx{)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1782$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{2-m}}{bc+ad+2bdx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1785$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{2-m}}{(bc+ad+2bdx{)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

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

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1786$