Integrals 1 to 100

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2.4.1 Integrals 1 to 100

2.4.1.1 Sympy [F(-2)]

Exception generated. \[ \int a^x b^{-x} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >> Invalid NaN comparison

input ﬁle name 0_Independent_test_suites/Hearn_Problems.txt

Test ﬁle number \(5\)

Integral number in ﬁle \(160\)

2.4.1.2 Sympy [F(-2)]

Exception generated. \[ \int a^{-x} b^{-x} \left (a^x-b^x\right )^2 \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

Exception raised: TypeError >> Invalid NaN comparison

input ﬁle name 0_Independent_test_suites/Timofeev_Problems.txt

Test ﬁle number \(10\)

Integral number in ﬁle \(495\)

2.4.1.3 Sympy [F(-2)]

Exception generated. \[ \int \frac {x^2 \arctan (x)}{\left (1+x^2\right )^2} \, dx=\text {Exception raised: RecursionError} \]

[In]

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

[Out]

Exception raised: RecursionError >> maximum recursion depth exceeded

input ﬁle name 0_Independent_test_suites/Timofeev_Problems.txt

Test ﬁle number \(10\)

Integral number in ﬁle \(673\)

2.4.1.4 Sympy [F(-2)]

Exception generated. \[ \int \frac {x^3 \arctan (x)}{\left (1+x^2\right )^2} \, dx=\text {Exception raised: RecursionError} \]

[In]

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

[Out]

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

input ﬁle name 0_Independent_test_suites/Timofeev_Problems.txt

Test ﬁle number \(10\)

Integral number in ﬁle \(674\)

2.4.1.5 Sympy [F(-2)]

Exception generated. \[ \int \frac {x^5 \arctan (x)}{\left (1+x^2\right )^2} \, dx=\text {Exception raised: RecursionError} \]

[In]

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

[Out]

Exception raised: RecursionError >> maximum recursion depth exceeded in comparison

input ﬁle name 0_Independent_test_suites/Timofeev_Problems.txt

Test ﬁle number \(10\)

Integral number in ﬁle \(675\)

2.4.1.6 Sympy [F(-2)]

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

[In]

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)

[Out]

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

input ﬁle name 0_Independent_test_suites/Welz_Problems.txt

Test ﬁle number \(11\)

Integral number in ﬁle \(11\)

2.4.1.7 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1845\)

2.4.1.8 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-4+n} (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1859\)

2.4.1.9 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-3+n} (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1860\)

2.4.1.10 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-2+n} (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1861\)

2.4.1.11 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1863\)

2.4.1.12 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{1+n} (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1864\)

2.4.1.13 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{2+n} (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1865\)

2.4.1.14 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1866\)

2.4.1.15 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-2-n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1868\)

2.4.1.16 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-3-n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1869\)

2.4.1.17 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-4-n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1870\)

2.4.1.18 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-5-n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1871\)

2.4.1.19 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1872\)

2.4.1.20 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^n (c+d x)^{-2-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1874\)

2.4.1.21 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^n (c+d x)^{-3-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1875\)

2.4.1.22 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^n (c+d x)^{-4-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1876\)

2.4.1.23 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^n (c+d x)^{-5-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1877\)

2.4.1.24 Sympy [F(-2)]

Exception generated. \[ \int \left (\frac {d (a+b x)}{-b c+a d}\right )^m (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.2-a+b_x-^m-c+d_x-^n.txt

Test ﬁle number \(13\)

Integral number in ﬁle \(1890\)

2.4.1.25 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(383\)

2.4.1.26 Sympy [F(-2)]

Exception generated. \[ \int \frac {\sqrt {-1+\frac {1}{x}} \sqrt {\frac {1}{x}} \sqrt {x}}{\sqrt {1+x}} \, dx=\text {Exception raised: RecursionError} \]

[In]

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

[Out]

Exception raised: RecursionError >> maximum recursion depth exceeded in comparison

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(870\)

2.4.1.27 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(941\)

2.4.1.28 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(942\)

2.4.1.29 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(943\)

2.4.1.30 Sympy [F(-2)]

Exception generated. \[ \int \frac {(b x)^m (c+d x)^n}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(954\)

2.4.1.31 Sympy [F(-2)]

Exception generated. \[ \int x^2 (a+b x)^n (c+d x)^p \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(958\)

2.4.1.32 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(959\)

2.4.1.33 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(960\)

2.4.1.34 Sympy [F(-2)]

Exception generated. \[ \int x^3 (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(970\)

2.4.1.35 Sympy [F(-2)]

Exception generated. \[ \int x^2 (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(971\)

2.4.1.36 Sympy [F(-2)]

Exception generated. \[ \int x (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(972\)

2.4.1.37 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^n (c+d x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(973\)

2.4.1.38 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^n (c+d x)^{-n}}{x^3} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(976\)

2.4.1.39 Sympy [F(-2)]

Exception generated. \[ \int x^m (a+b x)^{1+n} (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(995\)

2.4.1.40 Sympy [F(-2)]

Exception generated. \[ \int (a+b x) (c+d x)^n (e+f x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3047\)

2.4.1.41 Sympy [F(-2)]

Exception generated. \[ \int (a+b x) (c+d x)^{-1+n} (e+f x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3048\)

2.4.1.42 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3049\)

2.4.1.43 Sympy [F(-2)]

Exception generated. \[ \int (a+b x) (c+d x)^{-3+n} (e+f x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3050\)

2.4.1.44 Sympy [F(-2)]

Exception generated. \[ \int (a+b x) (c+d x)^{-4+n} (e+f x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3051\)

2.4.1.45 Sympy [F(-2)]

Exception generated. \[ \int (a+b x) (c+d x)^{-5+n} (e+f x)^{-n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3052\)

2.4.1.46 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-n} (c+d x) (e+f x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3053\)

2.4.1.47 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-n} (c+d x) (e+f x)^{-1+n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3054\)

2.4.1.48 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3055\)

2.4.1.49 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-n} (c+d x) (e+f x)^{-3+n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3056\)

2.4.1.50 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-n} (c+d x) (e+f x)^{-4+n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3057\)

2.4.1.51 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^{-n} (c+d x) (e+f x)^{-5+n} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3058\)

2.4.1.52 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-m} (e+f x)^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3061\)

2.4.1.53 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3062\)

2.4.1.54 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3063\)

2.4.1.55 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3064\)

2.4.1.56 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^m (c+d x)^{-m}}{e+f x} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3065\)

2.4.1.57 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-1-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3073\)

2.4.1.58 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3081\)

2.4.1.59 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3082\)

2.4.1.60 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-2-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3083\)

2.4.1.61 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-3-m} (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3090\)

2.4.1.62 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-3-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3091\)

2.4.1.63 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-3-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3092\)

2.4.1.64 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-4-m} (e+f x)^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3097\)

2.4.1.65 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-4-m} (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3098\)

2.4.1.66 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-4-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3099\)

2.4.1.67 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-4-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3100\)

2.4.1.68 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-5-m} (e+f x)^4 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3105\)

2.4.1.69 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-5-m} (e+f x)^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3106\)

2.4.1.70 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-5-m} (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3107\)

2.4.1.71 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-5-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3108\)

2.4.1.72 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-5-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3109\)

2.4.1.73 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{1-m} (e+f x)^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3112\)

2.4.1.74 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{1-m} (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3113\)

2.4.1.75 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{1-m} (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3114\)

2.4.1.76 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{1-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3115\)

2.4.1.77 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3117\)

2.4.1.78 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{2-m} (e+f x)^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3123\)

2.4.1.79 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3124\)

2.4.1.80 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3125\)

2.4.1.81 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{2-m} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3126\)

2.4.1.82 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^m (c+d x)^{2-m}}{(e+f x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3128\)

2.4.1.83 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3129\)

2.4.1.84 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^m (c+d x)^{3-m}}{(e+f x)^3} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3136\)

2.4.1.85 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3137\)

2.4.1.86 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3138\)

2.4.1.87 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^m (c+d x)^{2-m}}{b c+a d+2 b d x} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3141\)

2.4.1.88 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^m (c+d x)^{2-m}}{(b c+a d+2 b d x)^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3142\)

2.4.1.89 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^m (c+d x)^{2-m}}{(b c+a d+2 b d x)^3} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3143\)

2.4.1.90 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^m (c+d x)^{2-m}}{(b c+a d+2 b d x)^4} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3144\)

2.4.1.91 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^n (e+f x)^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3160\)

2.4.1.92 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^n (e+f x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3161\)

2.4.1.93 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.3-a+b_x-^m-c+d_x-^n-e+f_x-^p.txt

Test ﬁle number \(14\)

Integral number in ﬁle \(3162\)

2.4.1.94 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.4-a+b_x-^m-c+d_x-^n-e+f_x-^p-g+h_x-^q.txt

Test ﬁle number \(15\)

Integral number in ﬁle \(112\)

2.4.1.95 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a+b x)^m}{(c+d x) (e+f x) (g+h x)} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.4-a+b_x-^m-c+d_x-^n-e+f_x-^p-g+h_x-^q.txt

Test ﬁle number \(15\)

Integral number in ﬁle \(122\)

2.4.1.96 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^n (e+f x) (g+h x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.4-a+b_x-^m-c+d_x-^n-e+f_x-^p-g+h_x-^q.txt

Test ﬁle number \(15\)

Integral number in ﬁle \(124\)

2.4.1.97 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{1-m} (e+f x) (g+h x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.4-a+b_x-^m-c+d_x-^n-e+f_x-^p-g+h_x-^q.txt

Test ﬁle number \(15\)

Integral number in ﬁle \(125\)

2.4.1.98 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-m} (e+f x) (g+h x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.4-a+b_x-^m-c+d_x-^n-e+f_x-^p-g+h_x-^q.txt

Test ﬁle number \(15\)

Integral number in ﬁle \(126\)

2.4.1.99 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-1-m} (e+f x) (g+h x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.4-a+b_x-^m-c+d_x-^n-e+f_x-^p-g+h_x-^q.txt

Test ﬁle number \(15\)

Integral number in ﬁle \(127\)

2.4.1.100 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^m (c+d x)^{-2-m} (e+f x) (g+h x) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.1_Binomial_products/1.1.1_Linear/1.1.1.4-a+b_x-^m-c+d_x-^n-e+f_x-^p-g+h_x-^q.txt

Test ﬁle number \(15\)

Integral number in ﬁle \(128\)

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