Integrals 201 to 300

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2.4.3 Integrals 201 to 300

2.4.3.1 Sympy [F(-2)]

Exception generated. \[ \int \frac {x^{-1-3 n}}{b x^n+c x^{2 n}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(46\)

Integral number in ﬁle \(499\)

2.4.3.2 Sympy [F(-2)]

Exception generated. \[ \int \frac {1+\left (1+\sqrt {3}\right ) x^4}{1-x^4+x^8} \, dx=\text {Exception raised: PolynomialError} \]

[In]

integrate((1+x**4*(1+3**(1/2)))/(x**8-x**4+1),x)

[Out]

Exception raised: PolynomialError >> 1/(2394670008380375980290355982690325810751919767151652506842000402903189

41159424*_t**88 + 138256337395873345762803423705330731641326126160751478072830556473063127384064*sqrt(3)*_t**8

8 - 5732624312622

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(47\)

Integral number in ﬁle \(32\)

2.4.3.3 Sympy [F(-2)]

Exception generated. \[ \int \frac {3-2 \sqrt {3}+\left (-3+\sqrt {3}\right ) x^4}{1-x^4+x^8} \, dx=\text {Exception raised: PolynomialError} \]

[In]

integrate((3+x**4*(-3+3**(1/2))-2*3**(1/2))/(x**8-x**4+1),x)

[Out]

Exception raised: PolynomialError >> 1/(-36944369544063775196667969536*_t**32 + 21329841701306232282053345280*

sqrt(3)*_t**32 - 167111083173036783803087978496*sqrt(3)*_t**28 + 289444886563568182740740210688*_t**28 - 99211

39603646460044679

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(47\)

Integral number in ﬁle \(33\)

2.4.3.4 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(47\)

Integral number in ﬁle \(45\)

2.4.3.5 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(47\)

Integral number in ﬁle \(46\)

2.4.3.6 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(47\)

Integral number in ﬁle \(63\)

2.4.3.7 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(47\)

Integral number in ﬁle \(72\)

2.4.3.8 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(47\)

Integral number in ﬁle \(73\)

2.4.3.9 Sympy [F(-2)]

Exception generated. \[ \int \frac {1}{\left (d+e x^n\right )^3 \left (a+b x^n+c x^{2 n}\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(47\)

Integral number in ﬁle \(74\)

2.4.3.10 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(48\)

Integral number in ﬁle \(145\)

2.4.3.11 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(48\)

Integral number in ﬁle \(146\)

2.4.3.12 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(48\)

Integral number in ﬁle \(147\)

2.4.3.13 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(48\)

Integral number in ﬁle \(150\)

2.4.3.14 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(48\)

Integral number in ﬁle \(155\)

2.4.3.15 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test ﬁle number \(48\)

Integral number in ﬁle \(156\)

2.4.3.16 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(472\)

2.4.3.17 Sympy [F(-2)]

Exception generated. \[ \int \left (a+x^2\right )^{5/2} \left (x+\sqrt {a+x^2}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate((x**2+a)**(5/2)*(x+(x**2+a)**(1/2))**n,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(495\)

2.4.3.18 Sympy [F(-2)]

Exception generated. \[ \int \left (a+x^2\right )^{5/2} \left (x-\sqrt {a+x^2}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate((x**2+a)**(5/2)*(x-(x**2+a)**(1/2))**n,x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(501\)

2.4.3.19 Sympy [F(-2)]

Exception generated. \[ \int \left (a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}\right )^2 \left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(507\)

2.4.3.20 Sympy [F(-2)]

Exception generated. \[ \int \left (a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}\right ) \left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(508\)

2.4.3.21 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n}{a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(510\)

2.4.3.22 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n}{\left (a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}\right )^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(511\)

2.4.3.23 Sympy [F(-2)]

Exception generated. \[ \int \left (a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}\right )^{3/2} \left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(514\)

2.4.3.24 Sympy [F(-2)]

Exception generated. \[ \int \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}} \left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(515\)

2.4.3.25 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n}{\left (a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}\right )^{3/2}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(517\)

2.4.3.26 Sympy [F(-2)]

Exception generated. \[ \int \sqrt {a g+\frac {2 d e g x}{f^2}+\frac {e^2 g x^2}{f^2}} \left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(519\)

2.4.3.27 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n}{\sqrt {a g+\frac {2 d e g x}{f^2}+\frac {e^2 g x^2}{f^2}}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(520\)

2.4.3.28 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x+f \sqrt {a+\frac {2 d e x}{f^2}+\frac {e^2 x^2}{f^2}}\right )^n}{\left (a g+\frac {2 d e g x}{f^2}+\frac {e^2 g x^2}{f^2}\right )^{3/2}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test ﬁle number \(52\)

Integral number in ﬁle \(521\)

2.4.3.29 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 2_Exponentials/2.1_u-F^-c-a+b_x-^n.txt

Test ﬁle number \(53\)

Integral number in ﬁle \(25\)

2.4.3.30 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 2_Exponentials/2.3_Exponential_functions.txt

Test ﬁle number \(55\)

Integral number in ﬁle \(570\)

2.4.3.31 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 2_Exponentials/2.3_Exponential_functions.txt

Test ﬁle number \(55\)

Integral number in ﬁle \(594\)

2.4.3.32 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 2_Exponentials/2.3_Exponential_functions.txt

Test ﬁle number \(55\)

Integral number in ﬁle \(609\)

2.4.3.33 Sympy [F(-2)]

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

[In]

integrate(x**(-1+n)*ln(e*x**n)/(1-e*x**n),x)

[Out]

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

input ﬁle name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test ﬁle number \(57\)

Integral number in ﬁle \(345\)

2.4.3.34 Sympy [F(-2)]

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

[In]

integrate(x**(-1+n)*ln(x**n/d)/(d-x**n),x)

[Out]

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

input ﬁle name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test ﬁle number \(57\)

Integral number in ﬁle \(346\)

2.4.3.35 Sympy [F(-2)]

Exception generated. \[ \int \frac {x^{-1+n} \log \left (-\frac {e x^n}{d}\right )}{d+e x^n} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x**(-1+n)*ln(-e*x**n/d)/(d+e*x**n),x)

[Out]

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

input ﬁle name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test ﬁle number \(57\)

Integral number in ﬁle \(347\)

2.4.3.36 Sympy [F(-2)]

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

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test ﬁle number \(57\)

Integral number in ﬁle \(420\)

2.4.3.37 Sympy [F(-2)]

Exception generated. \[ \int (f x)^m \left (d+e x^r\right )^3 \left (a+b \log \left (c x^n\right )\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x)**m*(d+e*x**r)**3*(a+b*ln(c*x**n)),x)

[Out]

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

input ﬁle name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test ﬁle number \(57\)

Integral number in ﬁle \(440\)

2.4.3.38 Sympy [F(-2)]

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

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test ﬁle number \(57\)

Integral number in ﬁle \(441\)

2.4.3.39 Sympy [F(-2)]

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

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.1.4-f_x-^m-d+e_x^r-^q-a+b_log-c_x^n-^p.txt

Test ﬁle number \(57\)

Integral number in ﬁle \(442\)

2.4.3.40 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right )^4 \log \left (d \left (\frac {1}{d}+f x^m\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt

Test ﬁle number \(58\)

Integral number in ﬁle \(64\)

2.4.3.41 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right )^3 \log \left (d \left (\frac {1}{d}+f x^m\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt

Test ﬁle number \(58\)

Integral number in ﬁle \(65\)

2.4.3.42 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right )^2 \log \left (d \left (\frac {1}{d}+f x^m\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt

Test ﬁle number \(58\)

Integral number in ﬁle \(66\)

2.4.3.43 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right ) \log \left (d \left (\frac {1}{d}+f x^m\right )\right )}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt

Test ﬁle number \(58\)

Integral number in ﬁle \(67\)

2.4.3.44 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (a+b \log \left (c x^n\right )\right )^3 \log \left (d \left (e+f x^m\right )^r\right )}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt

Test ﬁle number \(58\)

Integral number in ﬁle \(139\)

2.4.3.45 Sympy [F(-2)]

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

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt

Test ﬁle number \(58\)

Integral number in ﬁle \(140\)

2.4.3.46 Sympy [F(-2)]

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

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt

Test ﬁle number \(58\)

Integral number in ﬁle \(141\)

2.4.3.47 Sympy [F(-2)]

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

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.1.5_u-a+b_log-c_x^n-^p.txt

Test ﬁle number \(58\)

Integral number in ﬁle \(147\)

2.4.3.48 Sympy [F(-2)]

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

[In]

integrate((b*x+a)**4*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(147\)

2.4.3.49 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(148\)

2.4.3.50 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(149\)

2.4.3.51 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(150\)

2.4.3.52 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^3 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(156\)

2.4.3.53 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(157\)

2.4.3.54 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(158\)

2.4.3.55 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(164\)

2.4.3.56 Sympy [F(-2)]

Exception generated. \[ \int (a+b x)^2 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(165\)

2.4.3.57 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(166\)

2.4.3.58 Sympy [F(-2)]

Exception generated. \[ \int (g+h x)^4 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate((h*x+g)**4*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(293\)

2.4.3.59 Sympy [F(-2)]

Exception generated. \[ \int (g+h x)^3 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(294\)

2.4.3.60 Sympy [F(-2)]

Exception generated. \[ \int (g+h x)^2 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(295\)

2.4.3.61 Sympy [F(-2)]

Exception generated. \[ \int (g+h x) \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(296\)

2.4.3.62 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(297\)

2.4.3.63 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(298\)

2.4.3.64 Sympy [F(-2)]

Exception generated. \[ \int (g+h x)^2 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(303\)

2.4.3.65 Sympy [F(-2)]

Exception generated. \[ \int (g+h x) \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(304\)

2.4.3.66 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(305\)

2.4.3.67 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^2}{g+h x} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(306\)

2.4.3.68 Sympy [F(-2)]

Exception generated. \[ \int (g+h x)^2 \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(309\)

2.4.3.69 Sympy [F(-2)]

Exception generated. \[ \int (g+h x) \left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(310\)

2.4.3.70 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(311\)

2.4.3.71 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (A+B \log \left (e (a+b x)^n (c+d x)^{-n}\right )\right )^3}{g+h x} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.1-f+g_x-^m-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(59\)

Integral number in ﬁle \(312\)

2.4.3.72 Sympy [F(-2)]

Exception generated. \[ \int (a g+b g x)^m (c i+d i x)^{-2-m} \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(60\)

Integral number in ﬁle \(212\)

2.4.3.73 Sympy [F(-2)]

Exception generated. \[ \int (a g+b g x)^m (c i+d i x)^{-2-m} \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(60\)

Integral number in ﬁle \(213\)

2.4.3.74 Sympy [F(-2)]

Exception generated. \[ \int (a g+b g x)^m (c i+d i x)^{-2-m} \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(60\)

Integral number in ﬁle \(214\)

2.4.3.75 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a g+b g x)^m (c i+d i x)^{-2-m}}{A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(60\)

Integral number in ﬁle \(215\)

2.4.3.76 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a g+b g x)^m (c i+d i x)^{-2-m}}{\left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(60\)

Integral number in ﬁle \(216\)

2.4.3.77 Sympy [F(-2)]

Exception generated. \[ \int (a g+b g x)^{-2-m} (c i+d i x)^m \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^3 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(60\)

Integral number in ﬁle \(218\)

2.4.3.78 Sympy [F(-2)]

Exception generated. \[ \int (a g+b g x)^{-2-m} (c i+d i x)^m \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^2 \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(60\)

Integral number in ﬁle \(219\)

2.4.3.79 Sympy [F(-2)]

Exception generated. \[ \int (a g+b g x)^{-2-m} (c i+d i x)^m \left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right ) \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(60\)

Integral number in ﬁle \(220\)

2.4.3.80 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a g+b g x)^{-2-m} (c i+d i x)^m}{A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(60\)

Integral number in ﬁle \(221\)

2.4.3.81 Sympy [F(-2)]

Exception generated. \[ \int \frac {(a g+b g x)^{-2-m} (c i+d i x)^m}{\left (A+B \log \left (e \left (\frac {a+b x}{c+d x}\right )^n\right )\right )^2} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.2.2-f+g_x-^m-h+i_x-^q-A+B_log-e-a+b_x-over-c+d_x-^n-^p.txt

Test ﬁle number \(60\)

Integral number in ﬁle \(222\)

2.4.3.82 Sympy [F(-2)]

Exception generated. \[ \int \frac {\log \left (e \left (f (a+b x)^p (c+d x)^q\right )^r\right )}{(a+b x)^2} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

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

[Out]

Exception raised: NotImplementedError >> no valid subset found

input ﬁle name 3_Logarithms/3.2.3_u_log-e-f-a+b_x-^p-c+d_x-^q-^r-^s.txt

Test ﬁle number \(61\)

Integral number in ﬁle \(12\)

2.4.3.83 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> '>' not supported between instances of 'Poly' and 'int'

input ﬁle name 3_Logarithms/3.2.3_u_log-e-f-a+b_x-^p-c+d_x-^q-^r-^s.txt

Test ﬁle number \(61\)

Integral number in ﬁle \(72\)

2.4.3.84 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> '>' not supported between instances of 'Poly' and 'int'

input ﬁle name 3_Logarithms/3.2.3_u_log-e-f-a+b_x-^p-c+d_x-^q-^r-^s.txt

Test ﬁle number \(61\)

Integral number in ﬁle \(73\)

2.4.3.85 Sympy [F(-2)]

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

[In]

integrate(1/(d*x+c)/(-a+c+(-b+d)*x)/ln((b*x+a)/(d*x+c))+ln(1+(-b*x-a)/(d*x+c))/(b*x+a)/(d*x+c)/ln((b*x+a)/(d*x

+c))**2,x)

[Out]

Exception raised: TypeError >> '>' not supported between instances of 'Poly' and 'int'

input ﬁle name 3_Logarithms/3.2.3_u_log-e-f-a+b_x-^p-c+d_x-^q-^r-^s.txt

Test ﬁle number \(61\)

Integral number in ﬁle \(74\)

2.4.3.86 Sympy [F(-2)]

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

[In]

integrate(-1/(b*x+a)/(a-c+(b-d)*x)/ln((b*x+a)/(d*x+c))+ln(1+(-d*x-c)/(b*x+a))/(b*x+a)/(d*x+c)/ln((b*x+a)/(d*x+

c))**2,x)

[Out]

Exception raised: TypeError >> '>' not supported between instances of 'Poly' and 'int'

input ﬁle name 3_Logarithms/3.2.3_u_log-e-f-a+b_x-^p-c+d_x-^q-^r-^s.txt

Test ﬁle number \(61\)

Integral number in ﬁle \(75\)

2.4.3.87 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(43\)

2.4.3.88 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (a+b \log \left (c (d+e x)^n\right )\right )^2}{(f+g x)^{5/2}} \, dx=\text {Exception raised: HeuristicGCDFailed} \]

[In]

integrate((a+b*ln(c*(e*x+d)**n))**2/(g*x+f)**(5/2),x)

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(149\)

2.4.3.89 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(162\)

2.4.3.90 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(164\)

2.4.3.91 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(166\)

2.4.3.92 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(168\)

2.4.3.93 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(169\)

2.4.3.94 Sympy [F(-2)]

Exception generated. \[ \int \frac {a+b \log \left (c (d+e x)^n\right )}{(d+e x) (f+g x)^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(202\)

2.4.3.95 Sympy [F(-2)]

Exception generated. \[ \int \frac {a+b \log \left (c (d+e x)^n\right )}{(d+e x) (f+g x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*ln(c*(e*x+d)**n))/(e*x+d)/(g*x+f)**(5/2),x)

[Out]

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

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(203\)

2.4.3.96 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(335\)

2.4.3.97 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(336\)

2.4.3.98 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(377\)

2.4.3.99 Sympy [F(-2)]

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

[In]

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

[Out]

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

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(401\)

2.4.3.100 Sympy [F(-2)]

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

[In]

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

[Out]

Exception raised: HeuristicGCDFailed >> no luck

input ﬁle name 3_Logarithms/3.3_u-a+b_log-c-d+e_x-^n-^p.txt

Test ﬁle number \(62\)

Integral number in ﬁle \(506\)

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