2.4.3 Integrals 201 to 300

2.4.3.1 Sympy [F(-2)]

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

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

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

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

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

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

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

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

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

[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. $$\int \frac{(fx{)}^m{(d+e{x}^n)}^q}{a+b{x}^n+c{x}^{2n}}dx=\text{Exception raised: HeuristicGCDFailed}$$

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

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

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

[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. $$\int \frac{(fx{)}^m{(a+b{x}^n+c{x}^{2n})}^p}{d+e{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{(fx{)}^m{(a+b{x}^n+c{x}^{2n})}^p}{{(d+e{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int {(d+ex+f\sqrt{a+bx+\frac{e^2{x}^2}{f^2}})}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$

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

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

[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. $$\int {(a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2})}^2{(d+ex+f\sqrt{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}})}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}){(d+ex+f\sqrt{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}})}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{{(d+ex+f\sqrt{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}})}^n}{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{{(d+ex+f\sqrt{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}})}^n}{{(a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2})}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int {(a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2})}^{3/2}{(d+ex+f\sqrt{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}})}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \sqrt{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}}{(d+ex+f\sqrt{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}})}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{{(d+ex+f\sqrt{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}})}^n}{{(a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2})}^{3/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \sqrt{ag+\frac{2degx}{f^2}+\frac{e^{2}g{x}^2}{f^2}}{(d+ex+f\sqrt{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}})}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{{(d+ex+f\sqrt{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}})}^n}{\sqrt{ag+\frac{2degx}{f^2}+\frac{e^{2}g{x}^2}{f^2}}}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{{(d+ex+f\sqrt{a+\frac{2dex}{f^2}+\frac{e^2{x}^2}{f^2}})}^n}{{(ag+\frac{2degx}{f^2}+\frac{e^{2}g{x}^2}{f^2})}^{3/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int F^{c(a+bx)}{(d^2+2dex+e^2{x}^2)}^{-m}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int F^{f(a+b{\log }^2(c(d+ex{)}^n))}(g+hx{)}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int F^{f{(a+b\log (c(d+ex{)}^n))}^2}(g+hx{)}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$

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

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

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

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

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

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

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

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

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

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

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

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

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

[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. $$\int (a+bx{)}^4(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (a+bx{)}^3(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (a+bx{)}^2(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (a+bx)(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (a+bx{)}^3{(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (a+bx{)}^2{(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (a+bx){(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (a+bx{)}^3{(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (a+bx{)}^2{(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (a+bx){(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (g+hx{)}^4(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (g+hx{)}^3(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (g+hx{)}^2(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (g+hx)(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{A+B\log (e(a+bx{)}^n(c+dx{)}^{-n})}{g+hx}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (g+hx{)}^2{(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (g+hx){(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int {(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{{(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^2}{g+hx}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (g+hx{)}^2{(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (g+hx){(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int {(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{{(A+B\log (e(a+bx{)}^n(c+dx{)}^{-n}))}^3}{g+hx}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (ag+bgx{)}^m(ci+dix{)}^{-2-m}{(A+B\log \left(e{\left(\frac{a+bx}{c+dx}\right)}^n\right))}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (ag+bgx{)}^m(ci+dix{)}^{-2-m}{(A+B\log \left(e{\left(\frac{a+bx}{c+dx}\right)}^n\right))}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (ag+bgx{)}^m(ci+dix{)}^{-2-m}(A+B\log \left(e{\left(\frac{a+bx}{c+dx}\right)}^n\right))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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 $214$

2.4.3.75 Sympy [F(-2)]

Exception generated. $$\int \frac{(ag+bgx{)}^m(ci+dix{)}^{-2-m}}{A+B\log \left(e{\left(\frac{a+bx}{c+dx}\right)}^n\right)}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{(ag+bgx{)}^m(ci+dix{)}^{-2-m}}{{(A+B\log \left(e{\left(\frac{a+bx}{c+dx}\right)}^n\right))}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (ag+bgx{)}^{-2-m}(ci+dix{)}^m{(A+B\log \left(e{\left(\frac{a+bx}{c+dx}\right)}^n\right))}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (ag+bgx{)}^{-2-m}(ci+dix{)}^m{(A+B\log \left(e{\left(\frac{a+bx}{c+dx}\right)}^n\right))}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (ag+bgx{)}^{-2-m}(ci+dix{)}^m(A+B\log \left(e{\left(\frac{a+bx}{c+dx}\right)}^n\right))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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 $220$

2.4.3.80 Sympy [F(-2)]

Exception generated. $$\int \frac{(ag+bgx{)}^{-2-m}(ci+dix{)}^m}{A+B\log \left(e{\left(\frac{a+bx}{c+dx}\right)}^n\right)}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{(ag+bgx{)}^{-2-m}(ci+dix{)}^m}{{(A+B\log \left(e{\left(\frac{a+bx}{c+dx}\right)}^n\right))}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{\log \left(e{(f(a+bx{)}^p(c+dx{)}^q)}^r\right)}{(a+bx{)}^2}dx=\text{Exception raised: NotImplementedError}$$

[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. $$\int \frac{\log (1-\frac{a+bx}{c+dx})}{(a+bx)(c+dx){\log }^2\left(\frac{a+bx}{c+dx}\right)}dx=\text{Exception raised: TypeError}$$

[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. $$\int \frac{\log (1-\frac{c+dx}{a+bx})}{(a+bx)(c+dx){\log }^2\left(\frac{a+bx}{c+dx}\right)}dx=\text{Exception raised: TypeError}$$

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

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

[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. $$\int \frac{a+b\log (c(d+ex{)}^n)}{(f+gx{)}^4}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{{(a+b\log (c(d+ex{)}^n))}^2}{(f+gx{)}^{5/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (f+gx{)}^m(a+b\log (c(d+ex{)}^n))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{(f+gx{)}^m}{{(a+b\log (c(d+ex{)}^n))}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (f+gx{)}^m\sqrt{a+b\log (c(d+ex{)}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{(f+gx{)}^m}{{(a+b\log (c(d+ex{)}^n))}^{3/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int (f+gx{)}^m{(a+b\log (c(d+ex{)}^n))}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$

[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. $$\int \frac{a+b\log (c(d+ex{)}^n)}{(d+ex)(f+gx{)}^{3/2}}dx=\text{Exception raised: TypeError}$$

[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. $$\int \frac{a+b\log (c(d+ex{)}^n)}{(d+ex)(f+gx{)}^{5/2}}dx=\text{Exception raised: TypeError}$$

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

[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. $$\int \frac{\log \left(\frac{x^{-m}(-d+acd+ace{x}^m)}{e}\right)}{x(d+e{x}^m)}dx=\text{Exception raised: HeuristicGCDFailed}$$

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

[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. $$\int \frac{(a+b\log (c(d+ex{)}^n))\log \left(\frac{e(f+gx)}{ef-dg}\right)}{d+ex}dx=\text{Exception raised: TypeError}$$

[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. $$\int (g+hx{)}^m(a+b\log \left(c{(d(e+fx{)}^p)}^q\right))dx=\text{Exception raised: HeuristicGCDFailed}$$

[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 $506$