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. \[ \int a^{-x} b^{-x} \left (a^x-b^x\right )^2 \, dx=\text {Exception raised: TypeError} \] 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. \[ \int \frac {x^2 \arctan (x)}{\left (1+x^2\right )^2} \, dx=\text {Exception raised: RecursionError} \] 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. \[ \int \frac {x^3 \arctan (x)}{\left (1+x^2\right )^2} \, dx=\text {Exception raised: RecursionError} \] 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. \[ \int \frac {x^5 \arctan (x)}{\left (1+x^2\right )^2} \, dx=\text {Exception raised: RecursionError} \] 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. \[ \int \left (\frac {1}{\sqrt {2} (1+x)^2 \sqrt {-i+x^2}}+\frac {1}{\sqrt {2} (1+x)^2 \sqrt {i+x^2}}\right ) \, dx=\text {Exception raised: TypeError} \] 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. \[ \int (a+b x)^m (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-4+n} (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-3+n} (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-2+n} (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{1+n} (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{2+n} (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-2-n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-3-n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-4-n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-5-n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^n (c+d x)^{-2-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^n (c+d x)^{-3-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^n (c+d x)^{-4-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^n (c+d x)^{-5-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \left (\frac {d (a+b x)}{-b c+a d}\right )^m (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{\pi } \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{\pi } (c+d x)^m \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {x^m}{(a+b x) (c+d x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^n}{x^2 (c+d x)} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {x^3 (a+b x)^n}{(c+d x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {x^2 (a+b x)^n}{(c+d x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(b x)^m (c+d x)^n}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int x^2 (a+b x)^n (c+d x)^p \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int x (a+b x)^n (c+d x)^p \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^n (c+d x)^p \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int x^3 (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int x^2 (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int x (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^n (c+d x)^{-n}}{x^3} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int x^m (a+b x)^{1+n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(c+d x)^{1+m} (e+f x)}{(a+b x)^3} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^n (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x) (c+d x)^n (e+f x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x) (c+d x)^{-1+n} (e+f x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x) (c+d x)^{-2+n} (e+f x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x) (c+d x)^{-3+n} (e+f x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x) (c+d x)^{-4+n} (e+f x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x) (c+d x)^{-5+n} (e+f x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-n} (c+d x) (e+f x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-n} (c+d x) (e+f x)^{-1+n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-n} (c+d x) (e+f x)^{-2+n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-n} (c+d x) (e+f x)^{-3+n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-n} (c+d x) (e+f x)^{-4+n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{-n} (c+d x) (e+f x)^{-5+n} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^{1-n} (c+d x)^{-2+n} (-a d+b c (3+2 n)+2 b d (1+n) x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m}{(c+d x) (e+f x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-m} (e+f x)^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-m} (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{-m}}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-1-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{-1-m}}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-2-m} (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-2-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-2-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{-2-m}}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-3-m} (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-3-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-3-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{-3-m}}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-4-m} (e+f x)^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-4-m} (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-4-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-4-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{-4-m}}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-5-m} (e+f x)^4 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-5-m} (e+f x)^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-5-m} (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-5-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{-5-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{-5-m}}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{1-m} (e+f x)^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{1-m} (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{1-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{1-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{1-m}}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{1-m}}{(e+f x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{2-m} (e+f x)^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{2-m} (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{2-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int (a+b x)^m (c+d x)^{2-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{2-m}}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{2-m}}{(e+f x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{2-m}}{(e+f x)^7} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{3-m}}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^{1-n} (c+d x)^{1+n}}{b c+a d+2 b d x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^{1-n} (c+d x)^{1+n}}{(b c+a d+2 b d x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{2-m}}{b c+a d+2 b d x} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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. \[ \int \frac {(a+b x)^m (c+d x)^{2-m}}{(b c+a d+2 b d x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \] 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 \(1786\)