2.4.9 Integrals 801 to 823

2.4.9.1 Sympy [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{-400 x^5+\left (2000 x^4+400 x^5\right ) \log (x)}} (-5+4 x+(-20-5 x) \log (x))}{200 x^7+\left (-2000 x^6-400 x^7\right ) \log (x)+\left (5000 x^5+2000 x^6+200 x^7\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-5*x-20)*ln(x)+4*x-5)/((200*x**7+2000*x**6+5000*x**5)*ln(x)**2+(-400*x**7-2000*x**6)*ln(x)+200*x**
7)/exp(-1/((400*x**5+2000*x**4)*ln(x)-400*x**5)),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8869\)

2.4.9.2 Sympy [F(-2)]

Exception generated. \[ \int \frac {4 e^5 x^2 \log ^2(x)+e^{\frac {3}{e^5 x^2 \log (x)}} \log \left (2+e^2\right ) \left (6+12 \log (x)-4 e^5 x^2 \log ^2(x)\right )+e^{\frac {6}{e^5 x^2 \log (x)}} \log ^2\left (2+e^2\right ) \left (-3-6 \log (x)+e^5 x^2 \log ^2(x)\right )}{2 e^5 x \log ^2\left (2+e^2\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/2*((x**2*exp(5)*ln(x)**2-6*ln(x)-3)*ln(exp(2)+2)**2*exp(3/x**2/exp(5)/ln(x))**2+(-4*x**2*exp(5)*ln
(x)**2+12*ln(x)+6)*ln(exp(2)+2)*exp(3/x**2/exp(5)/ln(x))+4*x**2*exp(5)*ln(x)**2)/x/exp(5)/ln(x)**2/ln(exp(2)+2
)**2,x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8893\)

2.4.9.3 Sympy [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {x}{2+\log (-18-2 x+\log (4)+3 \log (25))}} (-36-2 x+2 \log (4)+6 \log (25)+(-18-2 x+\log (4)+3 \log (25)) \log (-18-2 x+\log (4)+3 \log (25)))}{-72-8 x+4 \log (4)+12 \log (25)+(-72-8 x+4 \log (4)+12 \log (25)) \log (-18-2 x+\log (4)+3 \log (25))+(-18-2 x+\log (4)+3 \log (25)) \log ^2(-18-2 x+\log (4)+3 \log (25))} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((6*ln(5)+2*ln(2)-2*x-18)*ln(6*ln(5)+2*ln(2)-2*x-18)+12*ln(5)+4*ln(2)-2*x-36)*exp(x/(ln(6*ln(5)+2*ln
(2)-2*x-18)+2))/((6*ln(5)+2*ln(2)-2*x-18)*ln(6*ln(5)+2*ln(2)-2*x-18)**2+(24*ln(5)+8*ln(2)-8*x-72)*ln(6*ln(5)+2
*ln(2)-2*x-18)+24*ln(5)+8*ln(2)-8*x-72),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8900\)

2.4.9.4 Sympy [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {2 x}{\log (x)}} \left (-2 x^2+2 x^2 \log (x)+2 x \log ^2(x)+e^{-30+2 x-2 x \log (2 x)} \left (-2+2 \log (x)-2 \log ^2(x) \log (2 x)\right )+e^{-15+x-x \log (2 x)} \left (4 x-4 x \log (x)-2 \log ^2(x)+2 x \log ^2(x) \log (2 x)\right )\right )}{5 \log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/5*((-2*ln(x)**2*ln(2*x)+2*ln(x)-2)*exp(-x*ln(2*x)+x-15)**2+(2*x*ln(x)**2*ln(2*x)-2*ln(x)**2-4*x*ln
(x)+4*x)*exp(-x*ln(2*x)+x-15)+2*x*ln(x)**2+2*x**2*ln(x)-2*x**2)*exp(x/ln(x))**2/ln(x)**2,x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9001\)

2.4.9.5 Sympy [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3+e^{10} \left (-x^2-x^3\right )}{-e^{10} x^2+e^{10} x^2 \log \left (\frac {x}{5 \log (x)}\right )}} \left (3+e^{10} \left (-x^2-x^3\right )+\left (3+e^{10} \left (x^2+2 x^3\right )\right ) \log (x)+\left (-6-e^{10} x^3\right ) \log (x) \log \left (\frac {x}{5 \log (x)}\right )\right )}{e^{10} x^3 \log (x)-2 e^{10} x^3 \log (x) \log \left (\frac {x}{5 \log (x)}\right )+e^{10} x^3 \log (x) \log ^2\left (\frac {x}{5 \log (x)}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-x**3*exp(5)**2-6)*ln(x)*ln(1/5*x/ln(x))+((2*x**3+x**2)*exp(5)**2+3)*ln(x)+(-x**3-x**2)*exp(5)**2+
3)*exp(((-x**3-x**2)*exp(5)**2+3)/(x**2*exp(5)**2*ln(1/5*x/ln(x))-x**2*exp(5)**2))/(x**3*exp(5)**2*ln(x)*ln(1/
5*x/ln(x))**2-2*x**3*exp(5)**2*ln(x)*ln(1/5*x/ln(x))+x**3*exp(5)**2*ln(x)),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9011\)

2.4.9.6 Sympy [F(-2)]

Exception generated. \[ \int \frac {30+30 x+e^4 \left (10+25 x+15 x^2\right )+\left (3 x+e^4 \left (-15 x-15 x^2\right )\right ) \log (x)+e^4 (15+15 x) \log ^2(x)+(-3-3 x) \log (1+x)}{e^4 \left (15 x+15 x^2\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-3*x-3)*ln(1+x)+(15*x+15)*exp(4)*ln(x)**2+((-15*x**2-15*x)*exp(4)+3*x)*ln(x)+(15*x**2+25*x+10)*exp
(4)+30*x+30)/(15*x**2+15*x)/exp(4)/ln(x)**2,x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9095\)

2.4.9.7 Sympy [F(-2)]

Exception generated. \[ \int \frac {2 x \log (x)+\left (-x+\left (x+x^2-x^3\right ) \log (x)\right ) \log \left (2 x^2\right )+\left (-2 \log (x)+\left (-1+x^2\right ) \log (x) \log \left (2 x^2\right )\right ) \log (\log (x))+\left (2 x^2 \log (x)-2 x \log (x) \log (\log (x))\right ) \log \left (\frac {e^x}{-x+\log (\log (x))}\right )}{-x^3 \log (5) \log (x) \log ^2\left (2 x^2\right )+x^2 \log (5) \log (x) \log ^2\left (2 x^2\right ) \log (\log (x))} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-2*x*ln(x)*ln(ln(x))+2*x**2*ln(x))*ln(exp(x)/(ln(ln(x))-x))+((x**2-1)*ln(x)*ln(2*x**2)-2*ln(x))*ln
(ln(x))+((-x**3+x**2+x)*ln(x)-x)*ln(2*x**2)+2*x*ln(x))/(x**2*ln(5)*ln(x)*ln(2*x**2)**2*ln(ln(x))-x**3*ln(5)*ln
(x)*ln(2*x**2)**2),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9101\)

2.4.9.8 Sympy [F(-2)]

Exception generated. \[ \int \frac {-36 x+36 x^2+\left (3 x-3 x^2\right ) \log (x)+\left (33 x-108 x^2+\left (-3 x+9 x^2\right ) \log (x)\right ) \log (2 x)+(-36 x+3 x \log (x)+(72 x-6 x \log (x)) \log (2 x)) \log \left (\frac {-12+\log (x)}{8 x}\right )}{(-12+\log (x)) \log ^2(2 x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((-6*x*ln(x)+72*x)*ln(2*x)+3*x*ln(x)-36*x)*ln(1/8*(ln(x)-12)/x)+((9*x**2-3*x)*ln(x)-108*x**2+33*x)*
ln(2*x)+(-3*x**2+3*x)*ln(x)+36*x**2-36*x)/(ln(x)-12)/ln(2*x)**2,x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9111\)

2.4.9.9 Sympy [F(-2)]

Exception generated. \[ \int \frac {e^x x^3+\left (324+324 x+e^{e^{4 x}} (324+324 x)\right ) \log \left (1+e^{e^{4 x}}\right )+2 e^x x^2 \log (x)+e^x x \log ^2(x)+e^{e^{4 x}} \left (-1296 e^{4 x} x^2+e^x x^3+\left (-1296 e^{4 x} x+2 e^x x^2\right ) \log (x)+e^x x \log ^2(x)\right )}{x^3+2 x^2 \log (x)+x \log ^2(x)+e^{e^{4 x}} \left (x^3+2 x^2 \log (x)+x \log ^2(x)\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((324*x+324)*exp(exp(4*x))+324*x+324)*ln(exp(exp(4*x))+1)+(x*exp(x)*ln(x)**2+(-1296*x*exp(4*x)+2*ex
p(x)*x**2)*ln(x)-1296*x**2*exp(4*x)+exp(x)*x**3)*exp(exp(4*x))+x*exp(x)*ln(x)**2+2*x**2*exp(x)*ln(x)+exp(x)*x*
*3)/((x*ln(x)**2+2*x**2*ln(x)+x**3)*exp(exp(4*x))+x*ln(x)**2+2*x**2*ln(x)+x**3),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9277\)

2.4.9.10 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (8+2 x-2 x^2+e \left (16 x+4 x^2-4 x^3\right )\right ) \log (x)+\left (-4+8 x+e \left (-4 x+8 x^2\right )\right ) \log ^2(x) \log \left (\frac {x+e x^2}{e}\right )+\left (-8-2 x+2 x^2+e \left (-8 x-2 x^2+2 x^3\right )+\left (8+4 x-6 x^2+e \left (8 x+4 x^2-6 x^3\right )\right ) \log (x)\right ) \log \left (\frac {x+e x^2}{e}\right ) \log \left (\log \left (\frac {x+e x^2}{e}\right )\right )}{(1+e x) \log ^2(x) \log \left (\frac {x+e x^2}{e}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((((-6*x**3+4*x**2+8*x)*exp(1)-6*x**2+4*x+8)*ln(x)+(2*x**3-2*x**2-8*x)*exp(1)+2*x**2-2*x-8)*ln((x**2
*exp(1)+x)/exp(1))*ln(ln((x**2*exp(1)+x)/exp(1)))+((8*x**2-4*x)*exp(1)+8*x-4)*ln(x)**2*ln((x**2*exp(1)+x)/exp(
1))+((-4*x**3+4*x**2+16*x)*exp(1)-2*x**2+2*x+8)*ln(x))/(x*exp(1)+1)/ln(x)**2/ln((x**2*exp(1)+x)/exp(1)),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9310\)

2.4.9.11 Sympy [F(-2)]

Exception generated. \[ \int \frac {16 e^4+e^{4+2 x} x^2+e^{4+x} (-4+4 x)}{-32+16 x+e^x \left (-20 x+8 x^2\right )+e^{2 x} \left (-3 x^2+x^3\right )} \, dx=\text {Exception raised: PolynomialError} \]

[In]

integrate((x**2*exp(4)*exp(x)**2+(-4+4*x)*exp(4)*exp(x)+16*exp(4))/((x**3-3*x**2)*exp(x)**2+(8*x**2-20*x)*exp(
x)+16*x-32),x)

[Out]

Exception raised: PolynomialError >> 1/(x**4 - 6*x**3 + 9*x**2) contains an element of the set of generators.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9366\)

2.4.9.12 Sympy [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {9+123 x+30 x^2}{10 \log \left (\frac {2+x^2}{x}\right )}} \left (18+246 x+51 x^2-123 x^3-30 x^4+\left (246 x+120 x^2+123 x^3+60 x^4\right ) \log \left (\frac {2+x^2}{x}\right )+\left (20+10 x^2\right ) \log ^2\left (\frac {2+x^2}{x}\right )\right )}{\left (20+10 x^2\right ) \log ^2\left (\frac {2+x^2}{x}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((10*x**2+20)*ln((x**2+2)/x)**2+(60*x**4+123*x**3+120*x**2+246*x)*ln((x**2+2)/x)-30*x**4-123*x**3+51
*x**2+246*x+18)*exp(1/10*(30*x**2+123*x+9)/ln((x**2+2)/x))/(10*x**2+20)/ln((x**2+2)/x)**2,x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9541\)

2.4.9.13 Sympy [F(-2)]

Exception generated. \[ \int \frac {-72 x+144 x^2-108 x^3+10 x^4+15 x^5+\left (-48 x^2-72 x^3\right ) \log (x)+\left (-12 x^2+12 x^3-36 x^4\right ) \log ^2(x)+\left (-8 x^3-12 x^4\right ) \log ^3(x)+\left (-2 x^4-3 x^5\right ) \log ^4(x)+\left (72 x+108 x^2-30 x^3-45 x^4+\left (96 x+144 x^2\right ) \log (x)+\left (12 x+12 x^2+72 x^3\right ) \log ^2(x)+\left (24 x^2+36 x^3\right ) \log ^3(x)+\left (6 x^3+9 x^4\right ) \log ^4(x)\right ) \log (2+3 x)+\left (30 x^2+45 x^3+(-48-72 x) \log (x)+\left (-24 x-36 x^2\right ) \log ^2(x)+\left (-24 x-36 x^2\right ) \log ^3(x)+\left (-6 x^2-9 x^3\right ) \log ^4(x)\right ) \log ^2(2+3 x)+\left (-10 x-15 x^2+(8+12 x) \log ^3(x)+\left (2 x+3 x^2\right ) \log ^4(x)\right ) \log ^3(2+3 x)}{-72 x^2-108 x^3+10 x^4+15 x^5+\left (-24 x^3-36 x^4\right ) \log ^2(x)+\left (-2 x^4-3 x^5\right ) \log ^4(x)+\left (72 x+108 x^2-30 x^3-45 x^4+\left (48 x^2+72 x^3\right ) \log ^2(x)+\left (6 x^3+9 x^4\right ) \log ^4(x)\right ) \log (2+3 x)+\left (30 x^2+45 x^3+\left (-24 x-36 x^2\right ) \log ^2(x)+\left (-6 x^2-9 x^3\right ) \log ^4(x)\right ) \log ^2(2+3 x)+\left (-10 x-15 x^2+\left (2 x+3 x^2\right ) \log ^4(x)\right ) \log ^3(2+3 x)} \, dx=\text {Exception raised: PolynomialError} \]

[In]

integrate((((3*x**2+2*x)*ln(x)**4+(12*x+8)*ln(x)**3-15*x**2-10*x)*ln(2+3*x)**3+((-9*x**3-6*x**2)*ln(x)**4+(-36
*x**2-24*x)*ln(x)**3+(-36*x**2-24*x)*ln(x)**2+(-72*x-48)*ln(x)+45*x**3+30*x**2)*ln(2+3*x)**2+((9*x**4+6*x**3)*
ln(x)**4+(36*x**3+24*x**2)*ln(x)**3+(72*x**3+12*x**2+12*x)*ln(x)**2+(144*x**2+96*x)*ln(x)-45*x**4-30*x**3+108*
x**2+72*x)*ln(2+3*x)+(-3*x**5-2*x**4)*ln(x)**4+(-12*x**4-8*x**3)*ln(x)**3+(-36*x**4+12*x**3-12*x**2)*ln(x)**2+
(-72*x**3-48*x**2)*ln(x)+15*x**5+10*x**4-108*x**3+144*x**2-72*x)/(((3*x**2+2*x)*ln(x)**4-15*x**2-10*x)*ln(2+3*
x)**3+((-9*x**3-6*x**2)*ln(x)**4+(-36*x**2-24*x)*ln(x)**2+45*x**3+30*x**2)*ln(2+3*x)**2+((9*x**4+6*x**3)*ln(x)
**4+(72*x**3+48*x**2)*ln(x)**2-45*x**4-30*x**3+108*x**2+72*x)*ln(2+3*x)+(-3*x**5-2*x**4)*ln(x)**4+(-36*x**4-24
*x**3)*ln(x)**2+15*x**5+10*x**4-108*x**3-72*x**2),x)

[Out]

Exception raised: PolynomialError >> 1/(9*_t0**16*x**4 + 12*_t0**16*x**3 + 4*_t0**16*x**2 - 180*_t0**12*x**4 -
240*_t0**12*x**3 - 80*_t0**12*x**2 + 1350*_t0**8*x**4 + 1800*_t0**8*x**3 + 600*_t0**8*x**2 - 4500*_t0**4*x**4
- 6000*_t0**4*x*

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9659\)

2.4.9.14 Sympy [F(-2)]

Exception generated. \[ \int \frac {-50 x-20 e^4 x-2 e^8 x+\left (-20 x-4 e^4 x\right ) \log (x)-2 x \log ^2(x)+e^{\frac {x^3+x^2 \log (4)}{5+e^4+\log (x)}} \left (25+e^8+14 x^3+e^4 \left (10+3 x^3\right )+\left (9 x^2+2 e^4 x^2\right ) \log (4)+\left (10+2 e^4+3 x^3+2 x^2 \log (4)\right ) \log (x)+\log ^2(x)\right )}{25+10 e^4+e^8+\left (10+2 e^4\right ) \log (x)+\log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((ln(x)**2+(4*x**2*ln(2)+2*exp(4)+3*x**3+10)*ln(x)+2*(2*x**2*exp(4)+9*x**2)*ln(2)+exp(4)**2+(3*x**3+
10)*exp(4)+14*x**3+25)*exp((2*x**2*ln(2)+x**3)/(ln(x)+5+exp(4)))-2*x*ln(x)**2+(-4*x*exp(4)-20*x)*ln(x)-2*x*exp
(4)**2-20*x*exp(4)-50*x)/(ln(x)**2+(2*exp(4)+10)*ln(x)+exp(4)**2+10*exp(4)+25),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9749\)

2.4.9.15 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (e^{10}-e^5 x\right ) \log ^2\left (e^{10}-2 e^5 x+x^2\right )+e^{\frac {4 x^3}{e^5 \log \left (e^{10}-2 e^5 x+x^2\right )}} \left (8 x^3+\left (12 e^5 x^2-12 x^3\right ) \log \left (e^{10}-2 e^5 x+x^2\right )\right )}{\left (e^{10}-e^5 x\right ) \log ^2\left (e^{10}-2 e^5 x+x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((12*x**2*exp(5)-12*x**3)*ln(exp(5)**2-2*x*exp(5)+x**2)+8*x**3)*exp(4*x**3/exp(5)/ln(exp(5)**2-2*x*
exp(5)+x**2))+(exp(5)**2-x*exp(5))*ln(exp(5)**2-2*x*exp(5)+x**2)**2)/(exp(5)**2-x*exp(5))/ln(exp(5)**2-2*x*exp
(5)+x**2)**2,x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9775\)

2.4.9.16 Sympy [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3 x^2+5 x^3+2 x^4}{(4+8 x) \log \left (x^2\right )}} \left (-6 x^2-22 x^3-24 x^4-8 x^5+\left (6 x^2+21 x^3+28 x^4+12 x^5\right ) \log \left (x^2\right )+\left (-8-32 x-32 x^2\right ) \log ^2\left (x^2\right )\right )}{\left (4 x^3+16 x^4+16 x^5\right ) \log ^2\left (x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-32*x**2-32*x-8)*ln(x**2)**2+(12*x**5+28*x**4+21*x**3+6*x**2)*ln(x**2)-8*x**5-24*x**4-22*x**3-6*x*
*2)*exp((2*x**4+5*x**3+3*x**2)/(8*x+4)/ln(x**2))/(16*x**5+16*x**4+4*x**3)/ln(x**2)**2,x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9947\)

2.4.9.17 Sympy [F(-2)]

Exception generated. \[ \int \frac {e^{9 e^{\frac {2 \left (-4 x-x^2\right )}{6-3 x+3 \log (x)}}+\frac {2 \left (-4 x-x^2\right )}{6-3 x+3 \log (x)}} \left (-24-18 x+6 x^2+(-24-12 x) \log (x)\right )}{4-4 x+x^2+(4-2 x) \log (x)+\log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-12*x-24)*ln(x)+6*x**2-18*x-24)*exp((-x**2-4*x)/(3*ln(x)-3*x+6))**2*exp(9*exp((-x**2-4*x)/(3*ln(x)
-3*x+6))**2)/(ln(x)**2+(4-2*x)*ln(x)+x**2-4*x+4),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(10034\)

2.4.9.18 Sympy [F(-2)]

Exception generated. \[ \int \frac {7 x^2+(12+4 x) \log ^3(5 x) \log (3+x)+\log ^4(5 x) (-x+(-3-x) \log (3+x))}{147 x^2+49 x^3+\left (-42 x-14 x^2\right ) \log ^4(5 x)+(3+x) \log ^8(5 x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((-3-x)*ln(3+x)-x)*ln(5*x)**4+(4*x+12)*ln(3+x)*ln(5*x)**3+7*x**2)/((3+x)*ln(5*x)**8+(-14*x**2-42*x)
*ln(5*x)**4+49*x**3+147*x**2),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(10123\)

2.4.9.19 Sympy [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {-5 x+e^5 x+\left (-5+e^5\right ) \log (x)+\log \left (\frac {x}{\log (x)}\right )}{x+\log (x)}} \left (e^{\frac {-5 x+e^5 x+\left (-5+e^5\right ) \log (x)+\log \left (\frac {x}{\log (x)}\right )}{x+\log (x)}} \left (x^2 \log (x)+2 x \log ^2(x)+\log ^3(x)\right )+e^{e^{-\frac {-5 x+e^5 x+\left (-5+e^5\right ) \log (x)+\log \left (\frac {x}{\log (x)}\right )}{x+\log (x)}} \left (-2 e^{\frac {-5 x+e^5 x+\left (-5+e^5\right ) \log (x)+\log \left (\frac {x}{\log (x)}\right )}{x+\log (x)}}+x\right )} \left (x+\left (1-x+x^2\right ) \log (x)+(-1+2 x) \log ^2(x)+\log ^3(x)+(1+x) \log (x) \log \left (\frac {x}{\log (x)}\right )\right )\right )}{x^2 \log (x)+2 x \log ^2(x)+\log ^3(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((1+x)*ln(x)*ln(x/ln(x))+ln(x)**3+(-1+2*x)*ln(x)**2+(x**2-x+1)*ln(x)+x)*exp((-2*exp((ln(x/ln(x))+(e
xp(5)-5)*ln(x)+x*exp(5)-5*x)/(x+ln(x)))+x)/exp((ln(x/ln(x))+(exp(5)-5)*ln(x)+x*exp(5)-5*x)/(x+ln(x))))+(ln(x)*
*3+2*x*ln(x)**2+x**2*ln(x))*exp((ln(x/ln(x))+(exp(5)-5)*ln(x)+x*exp(5)-5*x)/(x+ln(x))))/(ln(x)**3+2*x*ln(x)**2
+x**2*ln(x))/exp((ln(x/ln(x))+(exp(5)-5)*ln(x)+x*exp(5)-5*x)/(x+ln(x))),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(10148\)

2.4.9.20 Sympy [F(-2)]

Exception generated. \[ \int \frac {128-32 x+64 x^2-16 x^3+8 x^4-2 x^5+\left (40-530 x+280 x^2-545 x^3+258 x^4-128 x^5+48 x^6-6 x^7\right ) \log (x)+\left (2-296 x+82 x^2-258 x^3+64 x^4-48 x^5+12 x^6\right ) \log ^2(x)+\left (-49 x+4 x^2-32 x^3-6 x^5\right ) \log ^3(x)-2 x \log ^4(x)+\left (\left (52-x+88 x^2-16 x^3+19 x^4-4 x^5\right ) \log (x)+\left (20+24 x^2+5 x^4\right ) \log ^2(x)+\log ^3(x)\right ) \log \left (\log ^2(x)\right )}{\left (16-8 x+x^2\right ) \log (x)+(8-2 x) \log ^2(x)+\log ^3(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((ln(x)**3+(5*x**4+24*x**2+20)*ln(x)**2+(-4*x**5+19*x**4-16*x**3+88*x**2-x+52)*ln(x))*ln(ln(x)**2)-2
*x*ln(x)**4+(-6*x**5-32*x**3+4*x**2-49*x)*ln(x)**3+(12*x**6-48*x**5+64*x**4-258*x**3+82*x**2-296*x+2)*ln(x)**2
+(-6*x**7+48*x**6-128*x**5+258*x**4-545*x**3+280*x**2-530*x+40)*ln(x)-2*x**5+8*x**4-16*x**3+64*x**2-32*x+128)/
(ln(x)**3+(-2*x+8)*ln(x)**2+(x**2-8*x+16)*ln(x)),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(10161\)

2.4.9.21 Sympy [F(-2)]

Exception generated. \[ \int \frac {-507 x^2+481 x^3-152 x^4+16 x^5+\left (-234 x^2+150 x^3-24 x^4\right ) \log \left (81-108 x+54 x^2-12 x^3+x^4\right )+\left (-27 x^2+9 x^3\right ) \log ^2\left (81-108 x+54 x^2-12 x^3+x^4\right )+e^{\frac {1}{13 x-4 x^2+3 x \log \left (81-108 x+54 x^2-12 x^3+x^4\right )}} \left (39-49 x+8 x^2+(9-3 x) \log \left (81-108 x+54 x^2-12 x^3+x^4\right )\right )}{-507 x^2+481 x^3-152 x^4+16 x^5+\left (-234 x^2+150 x^3-24 x^4\right ) \log \left (81-108 x+54 x^2-12 x^3+x^4\right )+\left (-27 x^2+9 x^3\right ) \log ^2\left (81-108 x+54 x^2-12 x^3+x^4\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((-3*x+9)*ln(x**4-12*x**3+54*x**2-108*x+81)+8*x**2-49*x+39)*exp(1/(3*x*ln(x**4-12*x**3+54*x**2-108*
x+81)-4*x**2+13*x))+(9*x**3-27*x**2)*ln(x**4-12*x**3+54*x**2-108*x+81)**2+(-24*x**4+150*x**3-234*x**2)*ln(x**4
-12*x**3+54*x**2-108*x+81)+16*x**5-152*x**4+481*x**3-507*x**2)/((9*x**3-27*x**2)*ln(x**4-12*x**3+54*x**2-108*x
+81)**2+(-24*x**4+150*x**3-234*x**2)*ln(x**4-12*x**3+54*x**2-108*x+81)+16*x**5-152*x**4+481*x**3-507*x**2),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(10263\)

2.4.9.22 Sympy [F(-2)]

Exception generated. \[ \int \frac {\left (-208 x-60 x^2+108 x^3-36 x^4+4 x^5\right ) \log (2 x)+\left (-60+164 x-57 x^2-15 x^3+9 x^4-x^5\right ) \log \left (\frac {400-1920 x+2424 x^2-48 x^3-607 x^4+132 x^5+30 x^6-12 x^7+x^8}{81-108 x+54 x^2-12 x^3+x^4}\right )}{\left (60 x-164 x^2+57 x^3+15 x^4-9 x^5+x^6\right ) \log ^2(2 x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-x**5+9*x**4-15*x**3-57*x**2+164*x-60)*ln((x**8-12*x**7+30*x**6+132*x**5-607*x**4-48*x**3+2424*x**
2-1920*x+400)/(x**4-12*x**3+54*x**2-108*x+81))+(4*x**5-36*x**4+108*x**3-60*x**2-208*x)*ln(2*x))/(x**6-9*x**5+1
5*x**4+57*x**3-164*x**2+60*x)/ln(2*x)**2,x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(10318\)

2.4.9.23 Sympy [F(-2)]

Exception generated. \[ \int \frac {5-5 e^x+5 x-5 x^2+\left (5+4 x^2+x^3+e^x (-5+6 x)\right ) \log (x)+\left (-x^3+e^x \left (x-x^2\right )\right ) \log ^2(x)+\left (5+(5-x) \log (x)-x \log ^2(x)\right ) \log \left (\frac {1}{2} (-5+x \log (x))\right )}{-5 x^2 \log ^2(x)+x^3 \log ^3(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-x*ln(x)**2+ln(x)*(5-x)+5)*ln(1/2*x*ln(x)-5/2)+((-x**2+x)*exp(x)-x**3)*ln(x)**2+((6*x-5)*exp(x)+x*
*3+4*x**2+5)*ln(x)-5*exp(x)-5*x**2+5*x+5)/(x**3*ln(x)**3-5*x**2*ln(x)**2),x)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(10323\)