\(\int \frac {-6 e^5-6 x+(-6 x-6 x^2-2 x^6+e^5 (-6 x-2 x^5)) \log (\frac {2}{x})+(6 e^5 x^4+6 x^5) \log (\frac {2}{x}) \log (\frac {5 \log (\frac {2}{x})}{e^5+x})+(-6 e^5 x^3-6 x^4) \log (\frac {2}{x}) \log ^2(\frac {5 \log (\frac {2}{x})}{e^5+x})+(2 e^5 x^2+2 x^3) \log (\frac {2}{x}) \log ^3(\frac {5 \log (\frac {2}{x})}{e^5+x})}{(-e^5 x^4-x^5) \log (\frac {2}{x})+(3 e^5 x^3+3 x^4) \log (\frac {2}{x}) \log (\frac {5 \log (\frac {2}{x})}{e^5+x})+(-3 e^5 x^2-3 x^3) \log (\frac {2}{x}) \log ^2(\frac {5 \log (\frac {2}{x})}{e^5+x})+(e^5 x+x^2) \log (\frac {2}{x}) \log ^3(\frac {5 \log (\frac {2}{x})}{e^5+x})} \, dx\) [7195]

Optimal result

Integrand size = 293, antiderivative size = 28 \[ \int \frac {-6 e^5-6 x+\left (-6 x-6 x^2-2 x^6+e^5 \left (-6 x-2 x^5\right )\right ) \log \left (\frac {2}{x}\right )+\left (6 e^5 x^4+6 x^5\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-6 e^5 x^3-6 x^4\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (2 e^5 x^2+2 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )}{\left (-e^5 x^4-x^5\right ) \log \left (\frac {2}{x}\right )+\left (3 e^5 x^3+3 x^4\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-3 e^5 x^2-3 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (e^5 x+x^2\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )} \, dx=x^2-\frac {3}{\left (-x+\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^2} \]

[Out]

x^2-3/(ln(5*ln(2/x)/(exp(5)+x))-x)^2

Rubi [F]

\[ \int \frac {-6 e^5-6 x+\left (-6 x-6 x^2-2 x^6+e^5 \left (-6 x-2 x^5\right )\right ) \log \left (\frac {2}{x}\right )+\left (6 e^5 x^4+6 x^5\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-6 e^5 x^3-6 x^4\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (2 e^5 x^2+2 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )}{\left (-e^5 x^4-x^5\right ) \log \left (\frac {2}{x}\right )+\left (3 e^5 x^3+3 x^4\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-3 e^5 x^2-3 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (e^5 x+x^2\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )} \, dx=\int \frac {-6 e^5-6 x+\left (-6 x-6 x^2-2 x^6+e^5 \left (-6 x-2 x^5\right )\right ) \log \left (\frac {2}{x}\right )+\left (6 e^5 x^4+6 x^5\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-6 e^5 x^3-6 x^4\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (2 e^5 x^2+2 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )}{\left (-e^5 x^4-x^5\right ) \log \left (\frac {2}{x}\right )+\left (3 e^5 x^3+3 x^4\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-3 e^5 x^2-3 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (e^5 x+x^2\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )} \, dx \]

[In]

Int[(-6*E^5 - 6*x + (-6*x - 6*x^2 - 2*x^6 + E^5*(-6*x - 2*x^5))*Log[2/x] + (6*E^5*x^4 + 6*x^5)*Log[2/x]*Log[(5
*Log[2/x])/(E^5 + x)] + (-6*E^5*x^3 - 6*x^4)*Log[2/x]*Log[(5*Log[2/x])/(E^5 + x)]^2 + (2*E^5*x^2 + 2*x^3)*Log[
2/x]*Log[(5*Log[2/x])/(E^5 + x)]^3)/((-(E^5*x^4) - x^5)*Log[2/x] + (3*E^5*x^3 + 3*x^4)*Log[2/x]*Log[(5*Log[2/x
])/(E^5 + x)] + (-3*E^5*x^2 - 3*x^3)*Log[2/x]*Log[(5*Log[2/x])/(E^5 + x)]^2 + (E^5*x + x^2)*Log[2/x]*Log[(5*Lo
g[2/x])/(E^5 + x)]^3),x]

[Out]

x^2 + 6*Defer[Int][(x - Log[(5*Log[2/x])/(E^5 + x)])^(-3), x] - 6*E^5*Defer[Int][1/((E^5 + x)*(x - Log[(5*Log[
2/x])/(E^5 + x)])^3), x] + 6*(1 + E^5)*Defer[Int][1/((E^5 + x)*(x - Log[(5*Log[2/x])/(E^5 + x)])^3), x] + 6*De
fer[Int][1/(x*Log[2/x]*(x - Log[(5*Log[2/x])/(E^5 + x)])^3), x]

Rubi steps \begin{align*} \text {integral}& = \int \frac {6 \left (e^5+x\right )+2 x \log \left (\frac {2}{x}\right ) \left (3+3 x+x^5+e^5 \left (3+x^4\right )-3 x^3 \left (e^5+x\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+3 x^2 \left (e^5+x\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )-x \left (e^5+x\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )}{x \left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx \\ & = \int \left (2 x+\frac {6 \left (e^5+x+\left (1+e^5\right ) x \log \left (\frac {2}{x}\right )+x^2 \log \left (\frac {2}{x}\right )\right )}{x \left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}\right ) \, dx \\ & = x^2+6 \int \frac {e^5+x+\left (1+e^5\right ) x \log \left (\frac {2}{x}\right )+x^2 \log \left (\frac {2}{x}\right )}{x \left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx \\ & = x^2+6 \int \frac {e^5+x+x \left (1+e^5+x\right ) \log \left (\frac {2}{x}\right )}{x \left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx \\ & = x^2+6 \int \left (\frac {-e^5-x-\left (1+e^5\right ) x \log \left (\frac {2}{x}\right )-x^2 \log \left (\frac {2}{x}\right )}{e^5 \left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}+\frac {e^5+x+\left (1+e^5\right ) x \log \left (\frac {2}{x}\right )+x^2 \log \left (\frac {2}{x}\right )}{e^5 x \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}\right ) \, dx \\ & = x^2+\frac {6 \int \frac {-e^5-x-\left (1+e^5\right ) x \log \left (\frac {2}{x}\right )-x^2 \log \left (\frac {2}{x}\right )}{\left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5}+\frac {6 \int \frac {e^5+x+\left (1+e^5\right ) x \log \left (\frac {2}{x}\right )+x^2 \log \left (\frac {2}{x}\right )}{x \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5} \\ & = x^2+\frac {6 \int \frac {-e^5-x-x \left (1+e^5+x\right ) \log \left (\frac {2}{x}\right )}{\left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5}+\frac {6 \int \frac {e^5+x+x \left (1+e^5+x\right ) \log \left (\frac {2}{x}\right )}{x \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5} \\ & = x^2+\frac {6 \int \left (\frac {1+e^5}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}+\frac {x}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}+\frac {1}{\log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}+\frac {e^5}{x \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}\right ) \, dx}{e^5}+\frac {6 \int \left (-\frac {\left (1+e^5\right ) x}{\left (e^5+x\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}-\frac {x^2}{\left (e^5+x\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}-\frac {e^5}{\left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}-\frac {x}{\left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}\right ) \, dx}{e^5} \\ & = x^2+6 \int \frac {1}{x \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx-6 \int \frac {1}{\left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx+\left (6 \left (1+\frac {1}{e^5}\right )\right ) \int \frac {1}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx+\frac {6 \int \frac {x}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5}-\frac {6 \int \frac {x^2}{\left (e^5+x\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5}+\frac {6 \int \frac {1}{\log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5}-\frac {6 \int \frac {x}{\left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5}+\frac {\left (6 \left (-1-e^5\right )\right ) \int \frac {x}{\left (e^5+x\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5} \\ & = x^2+6 \int \frac {1}{x \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx-6 \int \frac {1}{\left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx+\left (6 \left (1+\frac {1}{e^5}\right )\right ) \int \frac {1}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx-\frac {6 \int \left (-\frac {e^5}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}+\frac {x}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}+\frac {e^{10}}{\left (e^5+x\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}\right ) \, dx}{e^5}-\frac {6 \int \left (\frac {1}{\log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}-\frac {e^5}{\left (e^5+x\right ) \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}\right ) \, dx}{e^5}+\frac {6 \int \frac {x}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5}+\frac {6 \int \frac {1}{\log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5}+\frac {\left (6 \left (-1-e^5\right )\right ) \int \left (\frac {1}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}-\frac {e^5}{\left (e^5+x\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3}\right ) \, dx}{e^5} \\ & = x^2+6 \int \frac {1}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx+6 \int \frac {1}{x \log \left (\frac {2}{x}\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx+\left (6 \left (1+\frac {1}{e^5}\right )\right ) \int \frac {1}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx-\left (6 e^5\right ) \int \frac {1}{\left (e^5+x\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx+\frac {\left (6 \left (-1-e^5\right )\right ) \int \frac {1}{\left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx}{e^5}+\left (6 \left (1+e^5\right )\right ) \int \frac {1}{\left (e^5+x\right ) \left (x-\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^3} \, dx \\ \end{align*}

Mathematica [A] (verified)

Time = 0.19 (sec) , antiderivative size = 28, normalized size of antiderivative = 1.00 \[ \int \frac {-6 e^5-6 x+\left (-6 x-6 x^2-2 x^6+e^5 \left (-6 x-2 x^5\right )\right ) \log \left (\frac {2}{x}\right )+\left (6 e^5 x^4+6 x^5\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-6 e^5 x^3-6 x^4\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (2 e^5 x^2+2 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )}{\left (-e^5 x^4-x^5\right ) \log \left (\frac {2}{x}\right )+\left (3 e^5 x^3+3 x^4\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-3 e^5 x^2-3 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (e^5 x+x^2\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )} \, dx=x^2-\frac {3}{\left (-x+\log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )\right )^2} \]

[In]

Integrate[(-6*E^5 - 6*x + (-6*x - 6*x^2 - 2*x^6 + E^5*(-6*x - 2*x^5))*Log[2/x] + (6*E^5*x^4 + 6*x^5)*Log[2/x]*
Log[(5*Log[2/x])/(E^5 + x)] + (-6*E^5*x^3 - 6*x^4)*Log[2/x]*Log[(5*Log[2/x])/(E^5 + x)]^2 + (2*E^5*x^2 + 2*x^3
)*Log[2/x]*Log[(5*Log[2/x])/(E^5 + x)]^3)/((-(E^5*x^4) - x^5)*Log[2/x] + (3*E^5*x^3 + 3*x^4)*Log[2/x]*Log[(5*L
og[2/x])/(E^5 + x)] + (-3*E^5*x^2 - 3*x^3)*Log[2/x]*Log[(5*Log[2/x])/(E^5 + x)]^2 + (E^5*x + x^2)*Log[2/x]*Log
[(5*Log[2/x])/(E^5 + x)]^3),x]

[Out]

x^2 - 3/(-x + Log[(5*Log[2/x])/(E^5 + x)])^2

Maple [B] (verified)

Leaf count of result is larger than twice the leaf count of optimal. \(144\) vs. \(2(27)=54\).

Time = 45.92 (sec) , antiderivative size = 145, normalized size of antiderivative = 5.18

method	result	size
parallelrisch	\(-\frac {3-2 \,{\mathrm e}^{10} x \ln \left (\frac {5 \ln \left (\frac {2}{x}\right )}{{\mathrm e}^{5}+x}\right )-x^{2} \ln \left (\frac {5 \ln \left (\frac {2}{x}\right )}{{\mathrm e}^{5}+x}\right )^{2}+2 x^{3} \ln \left (\frac {5 \ln \left (\frac {2}{x}\right )}{{\mathrm e}^{5}+x}\right )+x^{2} {\mathrm e}^{10}-x^{4}+{\mathrm e}^{10} \ln \left (\frac {5 \ln \left (\frac {2}{x}\right )}{{\mathrm e}^{5}+x}\right )^{2}}{x^{2}-2 \ln \left (\frac {5 \ln \left (\frac {2}{x}\right )}{{\mathrm e}^{5}+x}\right ) x +\ln \left (\frac {5 \ln \left (\frac {2}{x}\right )}{{\mathrm e}^{5}+x}\right )^{2}}\)	\(145\)
default	\(x^{2}-\frac {12}{x^{2} {\left (\frac {2 \ln \left (\frac {1}{x}\right )}{x}-\frac {i \pi \,\operatorname {csgn}\left (\frac {i}{{\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1}\right ) \operatorname {csgn}\left (i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )\right ) \operatorname {csgn}\left (\frac {i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )}{{\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1}\right )}{x}+\frac {i \pi \,\operatorname {csgn}\left (\frac {i}{{\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1}\right ) \operatorname {csgn}\left (\frac {i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )}{{\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1}\right )^{2}}{x}+\frac {i \pi \,\operatorname {csgn}\left (i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )\right ) \operatorname {csgn}\left (\frac {i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )}{{\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1}\right )^{2}}{x}-\frac {i \pi \,\operatorname {csgn}\left (\frac {i}{x}\right ) \operatorname {csgn}\left (\frac {i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )}{{\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1}\right ) \operatorname {csgn}\left (\frac {i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )}{x \left ({\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1\right )}\right )}{x}+\frac {i \pi \,\operatorname {csgn}\left (\frac {i}{x}\right ) {\operatorname {csgn}\left (\frac {i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )}{x \left ({\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1\right )}\right )}^{2}}{x}-\frac {i \pi \operatorname {csgn}\left (\frac {i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )}{{\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1}\right )^{3}}{x}+\frac {i \pi \,\operatorname {csgn}\left (\frac {i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )}{{\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1}\right ) {\operatorname {csgn}\left (\frac {i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )}{x \left ({\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1\right )}\right )}^{2}}{x}-\frac {i \pi {\operatorname {csgn}\left (\frac {i \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )}{x \left ({\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1\right )}\right )}^{3}}{x}+\frac {2 \ln \left (5\right )}{x}+\frac {2 \ln \left (\ln \left (2\right )+\ln \left (\frac {1}{x}\right )\right )}{x}-\frac {2 \ln \left ({\mathrm e}^{5+\ln \left (\frac {1}{x}\right )}+1\right )}{x}-2\right )}^{2}}\)	\(424\)
parts	\(\text {Expression too large to display}\)	\(32585\)

[In]

int(((2*x^2*exp(5)+2*x^3)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))^3+(-6*x^3*exp(5)-6*x^4)*ln(2/x)*ln(5*ln(2/x)/(exp(5
)+x))^2+(6*x^4*exp(5)+6*x^5)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))+((-2*x^5-6*x)*exp(5)-2*x^6-6*x^2-6*x)*ln(2/x)-6*
exp(5)-6*x)/((x*exp(5)+x^2)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))^3+(-3*x^2*exp(5)-3*x^3)*ln(2/x)*ln(5*ln(2/x)/(exp
(5)+x))^2+(3*x^3*exp(5)+3*x^4)*ln(2/x)*ln(5*ln(2/x)/(exp(5)+x))+(-x^4*exp(5)-x^5)*ln(2/x)),x,method=_RETURNVER
BOSE)

[Out]

-(3-2*exp(5)^2*x*ln(5*ln(2/x)/(exp(5)+x))-x^2*ln(5*ln(2/x)/(exp(5)+x))^2+2*x^3*ln(5*ln(2/x)/(exp(5)+x))+x^2*ex
p(5)^2-x^4+exp(5)^2*ln(5*ln(2/x)/(exp(5)+x))^2)/(x^2-2*ln(5*ln(2/x)/(exp(5)+x))*x+ln(5*ln(2/x)/(exp(5)+x))^2)

Fricas [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 88 vs. \(2 (27) = 54\).

Time = 0.25 (sec) , antiderivative size = 88, normalized size of antiderivative = 3.14 \[ \int \frac {-6 e^5-6 x+\left (-6 x-6 x^2-2 x^6+e^5 \left (-6 x-2 x^5\right )\right ) \log \left (\frac {2}{x}\right )+\left (6 e^5 x^4+6 x^5\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-6 e^5 x^3-6 x^4\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (2 e^5 x^2+2 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )}{\left (-e^5 x^4-x^5\right ) \log \left (\frac {2}{x}\right )+\left (3 e^5 x^3+3 x^4\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-3 e^5 x^2-3 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (e^5 x+x^2\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )} \, dx=\frac {x^{4} - 2 \, x^{3} \log \left (\frac {5 \, \log \left (\frac {2}{x}\right )}{x + e^{5}}\right ) + x^{2} \log \left (\frac {5 \, \log \left (\frac {2}{x}\right )}{x + e^{5}}\right )^{2} - 3}{x^{2} - 2 \, x \log \left (\frac {5 \, \log \left (\frac {2}{x}\right )}{x + e^{5}}\right ) + \log \left (\frac {5 \, \log \left (\frac {2}{x}\right )}{x + e^{5}}\right )^{2}} \]

[In]

integrate(((2*x^2*exp(5)+2*x^3)*log(2/x)*log(5*log(2/x)/(exp(5)+x))^3+(-6*x^3*exp(5)-6*x^4)*log(2/x)*log(5*log
(2/x)/(exp(5)+x))^2+(6*x^4*exp(5)+6*x^5)*log(2/x)*log(5*log(2/x)/(exp(5)+x))+((-2*x^5-6*x)*exp(5)-2*x^6-6*x^2-
6*x)*log(2/x)-6*exp(5)-6*x)/((x*exp(5)+x^2)*log(2/x)*log(5*log(2/x)/(exp(5)+x))^3+(-3*x^2*exp(5)-3*x^3)*log(2/
x)*log(5*log(2/x)/(exp(5)+x))^2+(3*x^3*exp(5)+3*x^4)*log(2/x)*log(5*log(2/x)/(exp(5)+x))+(-x^4*exp(5)-x^5)*log
(2/x)),x, algorithm="fricas")

[Out]

(x^4 - 2*x^3*log(5*log(2/x)/(x + e^5)) + x^2*log(5*log(2/x)/(x + e^5))^2 - 3)/(x^2 - 2*x*log(5*log(2/x)/(x + e
^5)) + log(5*log(2/x)/(x + e^5))^2)

Sympy [A] (verification not implemented)

Time = 0.37 (sec) , antiderivative size = 39, normalized size of antiderivative = 1.39 \[ \int \frac {-6 e^5-6 x+\left (-6 x-6 x^2-2 x^6+e^5 \left (-6 x-2 x^5\right )\right ) \log \left (\frac {2}{x}\right )+\left (6 e^5 x^4+6 x^5\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-6 e^5 x^3-6 x^4\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (2 e^5 x^2+2 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )}{\left (-e^5 x^4-x^5\right ) \log \left (\frac {2}{x}\right )+\left (3 e^5 x^3+3 x^4\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-3 e^5 x^2-3 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (e^5 x+x^2\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )} \, dx=x^{2} - \frac {3}{x^{2} - 2 x \log {\left (\frac {5 \log {\left (\frac {2}{x} \right )}}{x + e^{5}} \right )} + \log {\left (\frac {5 \log {\left (\frac {2}{x} \right )}}{x + e^{5}} \right )}^{2}} \]

[In]

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

[Out]

x**2 - 3/(x**2 - 2*x*log(5*log(2/x)/(x + exp(5))) + log(5*log(2/x)/(x + exp(5)))**2)

Maxima [C] (verification not implemented)

Result contains complex when optimal does not.

Time = 0.56 (sec) , antiderivative size = 215, normalized size of antiderivative = 7.68 \[ \int \frac {-6 e^5-6 x+\left (-6 x-6 x^2-2 x^6+e^5 \left (-6 x-2 x^5\right )\right ) \log \left (\frac {2}{x}\right )+\left (6 e^5 x^4+6 x^5\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-6 e^5 x^3-6 x^4\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (2 e^5 x^2+2 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )}{\left (-e^5 x^4-x^5\right ) \log \left (\frac {2}{x}\right )+\left (3 e^5 x^3+3 x^4\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-3 e^5 x^2-3 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (e^5 x+x^2\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )} \, dx=\frac {2 \, {\left (i \, \pi + \log \left (5\right )\right )} x^{3} - x^{4} - x^{2} \log \left (x + e^{5}\right )^{2} - x^{2} \log \left (-\log \left (2\right ) + \log \left (x\right )\right )^{2} + {\left (\pi ^{2} - 2 i \, \pi \log \left (5\right ) - \log \left (5\right )^{2}\right )} x^{2} + 2 \, {\left ({\left (i \, \pi + \log \left (5\right )\right )} x^{2} - x^{3}\right )} \log \left (x + e^{5}\right ) + 2 \, {\left ({\left (-i \, \pi - \log \left (5\right )\right )} x^{2} + x^{3} + x^{2} \log \left (x + e^{5}\right )\right )} \log \left (-\log \left (2\right ) + \log \left (x\right )\right ) + 3}{\pi ^{2} + 2 \, {\left (i \, \pi + \log \left (5\right )\right )} x - x^{2} - 2 i \, \pi \log \left (5\right ) - \log \left (5\right )^{2} + 2 \, {\left (i \, \pi - x + \log \left (5\right )\right )} \log \left (x + e^{5}\right ) - \log \left (x + e^{5}\right )^{2} + 2 \, {\left (-i \, \pi + x - \log \left (5\right ) + \log \left (x + e^{5}\right )\right )} \log \left (-\log \left (2\right ) + \log \left (x\right )\right ) - \log \left (-\log \left (2\right ) + \log \left (x\right )\right )^{2}} \]

[In]

integrate(((2*x^2*exp(5)+2*x^3)*log(2/x)*log(5*log(2/x)/(exp(5)+x))^3+(-6*x^3*exp(5)-6*x^4)*log(2/x)*log(5*log
(2/x)/(exp(5)+x))^2+(6*x^4*exp(5)+6*x^5)*log(2/x)*log(5*log(2/x)/(exp(5)+x))+((-2*x^5-6*x)*exp(5)-2*x^6-6*x^2-
6*x)*log(2/x)-6*exp(5)-6*x)/((x*exp(5)+x^2)*log(2/x)*log(5*log(2/x)/(exp(5)+x))^3+(-3*x^2*exp(5)-3*x^3)*log(2/
x)*log(5*log(2/x)/(exp(5)+x))^2+(3*x^3*exp(5)+3*x^4)*log(2/x)*log(5*log(2/x)/(exp(5)+x))+(-x^4*exp(5)-x^5)*log
(2/x)),x, algorithm="maxima")

[Out]

(2*(I*pi + log(5))*x^3 - x^4 - x^2*log(x + e^5)^2 - x^2*log(-log(2) + log(x))^2 + (pi^2 - 2*I*pi*log(5) - log(
5)^2)*x^2 + 2*((I*pi + log(5))*x^2 - x^3)*log(x + e^5) + 2*((-I*pi - log(5))*x^2 + x^3 + x^2*log(x + e^5))*log
(-log(2) + log(x)) + 3)/(pi^2 + 2*(I*pi + log(5))*x - x^2 - 2*I*pi*log(5) - log(5)^2 + 2*(I*pi - x + log(5))*l
og(x + e^5) - log(x + e^5)^2 + 2*(-I*pi + x - log(5) + log(x + e^5))*log(-log(2) + log(x)) - log(-log(2) + log
(x))^2)

Giac [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 31752 vs. \(2 (27) = 54\).

Time = 16.30 (sec) , antiderivative size = 31752, normalized size of antiderivative = 1134.00 \[ \int \frac {-6 e^5-6 x+\left (-6 x-6 x^2-2 x^6+e^5 \left (-6 x-2 x^5\right )\right ) \log \left (\frac {2}{x}\right )+\left (6 e^5 x^4+6 x^5\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-6 e^5 x^3-6 x^4\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (2 e^5 x^2+2 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )}{\left (-e^5 x^4-x^5\right ) \log \left (\frac {2}{x}\right )+\left (3 e^5 x^3+3 x^4\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-3 e^5 x^2-3 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (e^5 x+x^2\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )} \, dx=\text {Too large to display} \]

[In]

integrate(((2*x^2*exp(5)+2*x^3)*log(2/x)*log(5*log(2/x)/(exp(5)+x))^3+(-6*x^3*exp(5)-6*x^4)*log(2/x)*log(5*log
(2/x)/(exp(5)+x))^2+(6*x^4*exp(5)+6*x^5)*log(2/x)*log(5*log(2/x)/(exp(5)+x))+((-2*x^5-6*x)*exp(5)-2*x^6-6*x^2-
6*x)*log(2/x)-6*exp(5)-6*x)/((x*exp(5)+x^2)*log(2/x)*log(5*log(2/x)/(exp(5)+x))^3+(-3*x^2*exp(5)-3*x^3)*log(2/
x)*log(5*log(2/x)/(exp(5)+x))^2+(3*x^3*exp(5)+3*x^4)*log(2/x)*log(5*log(2/x)/(exp(5)+x))+(-x^4*exp(5)-x^5)*log
(2/x)),x, algorithm="giac")

[Out]

(x^10*log(2)^2*log(2/x)^3 + 3*x^9*e^5*log(2)^2*log(2/x)^3 + 2*x^9*log(2)^2*log(x + e^5)*log(2/x)^3 + 6*x^8*e^5
*log(2)^2*log(x + e^5)*log(2/x)^3 + x^8*log(2)^2*log(x + e^5)^2*log(2/x)^3 + 3*x^7*e^5*log(2)^2*log(x + e^5)^2
*log(2/x)^3 - 2*x^10*log(2)*log(x)*log(2/x)^3 - 6*x^9*e^5*log(2)*log(x)*log(2/x)^3 - 4*x^9*log(2)*log(x + e^5)
*log(x)*log(2/x)^3 - 12*x^8*e^5*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 2*x^8*log(2)*log(x + e^5)^2*log(x)*log
(2/x)^3 - 6*x^7*e^5*log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 + x^10*log(x)^2*log(2/x)^3 + 3*x^9*e^5*log(x)^2*lo
g(2/x)^3 + 2*x^9*log(x + e^5)*log(x)^2*log(2/x)^3 + 6*x^8*e^5*log(x + e^5)*log(x)^2*log(2/x)^3 + x^8*log(x + e
^5)^2*log(x)^2*log(2/x)^3 + 3*x^7*e^5*log(x + e^5)^2*log(x)^2*log(2/x)^3 - 2*x^9*log(2)^2*log(5*log(2/x))*log(
2/x)^3 - 6*x^8*e^5*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 2*x^8*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^
3 - 6*x^7*e^5*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3 + 4*x^9*log(2)*log(x)*log(5*log(2/x))*log(2/x)^
3 + 12*x^8*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x)^3 + 4*x^8*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log
(2/x)^3 + 12*x^7*e^5*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 - 2*x^9*log(x)^2*log(5*log(2/x))*lo
g(2/x)^3 - 6*x^8*e^5*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 2*x^8*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x
)^3 - 6*x^7*e^5*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 + x^8*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 +
3*x^7*e^5*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 - 2*x^8*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 - 6*x^7*e^
5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 + x^8*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^7*e^5*log(x)^2*
log(5*log(2/x))^2*log(2/x)^3 + 3*x^9*log(2)^2*log(2/x)^3 + 3*x^8*e^10*log(2)^2*log(2/x)^3 + 6*x^8*e^5*log(2)^2
*log(2/x)^3 + 6*x^8*log(2)^2*log(x + e^5)*log(2/x)^3 + 6*x^7*e^10*log(2)^2*log(x + e^5)*log(2/x)^3 + 12*x^7*e^
5*log(2)^2*log(x + e^5)*log(2/x)^3 + 3*x^7*log(2)^2*log(x + e^5)^2*log(2/x)^3 + 3*x^6*e^10*log(2)^2*log(x + e^
5)^2*log(2/x)^3 + 6*x^6*e^5*log(2)^2*log(x + e^5)^2*log(2/x)^3 - 6*x^9*log(2)*log(x)*log(2/x)^3 - 6*x^8*e^10*l
og(2)*log(x)*log(2/x)^3 - 12*x^8*e^5*log(2)*log(x)*log(2/x)^3 - 12*x^8*log(2)*log(x + e^5)*log(x)*log(2/x)^3 -
12*x^7*e^10*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 24*x^7*e^5*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 6*x^7*
log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 - 6*x^6*e^10*log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 - 12*x^6*e^5*log(
2)*log(x + e^5)^2*log(x)*log(2/x)^3 + 3*x^9*log(x)^2*log(2/x)^3 + 3*x^8*e^10*log(x)^2*log(2/x)^3 + 6*x^8*e^5*l
og(x)^2*log(2/x)^3 + 6*x^8*log(x + e^5)*log(x)^2*log(2/x)^3 + 6*x^7*e^10*log(x + e^5)*log(x)^2*log(2/x)^3 + 12
*x^7*e^5*log(x + e^5)*log(x)^2*log(2/x)^3 + 3*x^7*log(x + e^5)^2*log(x)^2*log(2/x)^3 + 3*x^6*e^10*log(x + e^5)
^2*log(x)^2*log(2/x)^3 + 6*x^6*e^5*log(x + e^5)^2*log(x)^2*log(2/x)^3 - 6*x^8*log(2)^2*log(5*log(2/x))*log(2/x
)^3 - 6*x^7*e^10*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 12*x^7*e^5*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^7*
log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3 - 6*x^6*e^10*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3
- 12*x^6*e^5*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3 + 12*x^8*log(2)*log(x)*log(5*log(2/x))*log(2/x)
^3 + 12*x^7*e^10*log(2)*log(x)*log(5*log(2/x))*log(2/x)^3 + 24*x^7*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x)^
3 + 12*x^7*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^6*e^10*log(2)*log(x + e^5)*log(x)*log(
5*log(2/x))*log(2/x)^3 + 24*x^6*e^5*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 - 6*x^8*log(x)^2*log
(5*log(2/x))*log(2/x)^3 - 6*x^7*e^10*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 12*x^7*e^5*log(x)^2*log(5*log(2/x))
*log(2/x)^3 - 6*x^7*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^6*e^10*log(x + e^5)*log(x)^2*log(5*
log(2/x))*log(2/x)^3 - 12*x^6*e^5*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 + 3*x^7*log(2)^2*log(5*log(
2/x))^2*log(2/x)^3 + 3*x^6*e^10*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 + 6*x^6*e^5*log(2)^2*log(5*log(2/x))^2*l
og(2/x)^3 - 6*x^7*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 - 6*x^6*e^10*log(2)*log(x)*log(5*log(2/x))^2*log(
2/x)^3 - 12*x^6*e^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 + 3*x^7*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 +
3*x^6*e^10*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + 6*x^6*e^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^9*lo
g(2)^2*log(2/x)^2 + 9*x^8*e^5*log(2)^2*log(2/x)^2 + 6*x^8*log(2)^2*log(x + e^5)*log(2/x)^2 + 18*x^7*e^5*log(2)
^2*log(x + e^5)*log(2/x)^2 + 3*x^7*log(2)^2*log(x + e^5)^2*log(2/x)^2 + 9*x^6*e^5*log(2)^2*log(x + e^5)^2*log(
2/x)^2 - 6*x^9*log(2)*log(x)*log(2/x)^2 - 18*x^8*e^5*log(2)*log(x)*log(2/x)^2 - 12*x^8*log(2)*log(x + e^5)*log
(x)*log(2/x)^2 - 36*x^7*e^5*log(2)*log(x + e^5)*log(x)*log(2/x)^2 - 6*x^7*log(2)*log(x + e^5)^2*log(x)*log(2/x
)^2 - 18*x^6*e^5*log(2)*log(x + e^5)^2*log(x)*log(2/x)^2 + 3*x^9*log(x)^2*log(2/x)^2 + 9*x^8*e^5*log(x)^2*log(
2/x)^2 + 6*x^8*log(x + e^5)*log(x)^2*log(2/x)^2 + 18*x^7*e^5*log(x + e^5)*log(x)^2*log(2/x)^2 + 3*x^7*log(x +
e^5)^2*log(x)^2*log(2/x)^2 + 9*x^6*e^5*log(x + e^5)^2*log(x)^2*log(2/x)^2 - 6*x^8*log(2)^2*log(5*log(2/x))*log
(2/x)^2 - 18*x^7*e^5*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^7*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x
)^2 - 18*x^6*e^5*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2 + 12*x^8*log(2)*log(x)*log(5*log(2/x))*log(2
/x)^2 + 36*x^7*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 12*x^7*log(2)*log(x + e^5)*log(x)*log(5*log(2/x)
)*log(2/x)^2 + 36*x^6*e^5*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^2 - 6*x^8*log(x)^2*log(5*log(2/x
))*log(2/x)^2 - 18*x^7*e^5*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^7*log(x + e^5)*log(x)^2*log(5*log(2/x))*l
og(2/x)^2 - 18*x^6*e^5*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 + 3*x^7*log(2)^2*log(5*log(2/x))^2*log
(2/x)^2 + 9*x^6*e^5*log(2)^2*log(5*log(2/x))^2*log(2/x)^2 - 6*x^7*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 -
18*x^6*e^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 + 3*x^7*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + 9*x^6*e
^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + 3*x^8*log(2)^2*log(2/x)^3 + x^7*e^15*log(2)^2*log(2/x)^3 + 3*x^7*e^
10*log(2)^2*log(2/x)^3 + 3*x^7*e^5*log(2)^2*log(2/x)^3 + 6*x^7*log(2)^2*log(x + e^5)*log(2/x)^3 + 2*x^6*e^15*l
og(2)^2*log(x + e^5)*log(2/x)^3 + 6*x^6*e^10*log(2)^2*log(x + e^5)*log(2/x)^3 + 6*x^6*e^5*log(2)^2*log(x + e^5
)*log(2/x)^3 + 3*x^6*log(2)^2*log(x + e^5)^2*log(2/x)^3 + x^5*e^15*log(2)^2*log(x + e^5)^2*log(2/x)^3 + 3*x^5*
e^10*log(2)^2*log(x + e^5)^2*log(2/x)^3 + 3*x^5*e^5*log(2)^2*log(x + e^5)^2*log(2/x)^3 - 6*x^8*log(2)*log(x)*l
og(2/x)^3 - 2*x^7*e^15*log(2)*log(x)*log(2/x)^3 - 6*x^7*e^10*log(2)*log(x)*log(2/x)^3 - 6*x^7*e^5*log(2)*log(x
)*log(2/x)^3 - 12*x^7*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 4*x^6*e^15*log(2)*log(x + e^5)*log(x)*log(2/x)^3
- 12*x^6*e^10*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 12*x^6*e^5*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 6*x^
6*log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 - 2*x^5*e^15*log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 - 6*x^5*e^10*lo
g(2)*log(x + e^5)^2*log(x)*log(2/x)^3 - 6*x^5*e^5*log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 + 3*x^8*log(x)^2*log
(2/x)^3 + x^7*e^15*log(x)^2*log(2/x)^3 + 3*x^7*e^10*log(x)^2*log(2/x)^3 + 3*x^7*e^5*log(x)^2*log(2/x)^3 + 6*x^
7*log(x + e^5)*log(x)^2*log(2/x)^3 + 2*x^6*e^15*log(x + e^5)*log(x)^2*log(2/x)^3 + 6*x^6*e^10*log(x + e^5)*log
(x)^2*log(2/x)^3 + 6*x^6*e^5*log(x + e^5)*log(x)^2*log(2/x)^3 + 3*x^6*log(x + e^5)^2*log(x)^2*log(2/x)^3 + x^5
*e^15*log(x + e^5)^2*log(x)^2*log(2/x)^3 + 3*x^5*e^10*log(x + e^5)^2*log(x)^2*log(2/x)^3 + 3*x^5*e^5*log(x + e
^5)^2*log(x)^2*log(2/x)^3 - 6*x^7*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 2*x^6*e^15*log(2)^2*log(5*log(2/x))*lo
g(2/x)^3 - 6*x^6*e^10*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^6*e^5*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 6*
x^6*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3 - 2*x^5*e^15*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/
x)^3 - 6*x^5*e^10*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3 - 6*x^5*e^5*log(2)^2*log(x + e^5)*log(5*log
(2/x))*log(2/x)^3 + 12*x^7*log(2)*log(x)*log(5*log(2/x))*log(2/x)^3 + 4*x^6*e^15*log(2)*log(x)*log(5*log(2/x))
*log(2/x)^3 + 12*x^6*e^10*log(2)*log(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^6*e^5*log(2)*log(x)*log(5*log(2/x))*
log(2/x)^3 + 12*x^6*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 + 4*x^5*e^15*log(2)*log(x + e^5)*log
(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^5*e^10*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^5*e^
5*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 - 6*x^7*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 2*x^6*e^
15*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^6*e^10*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^6*e^5*log(x)^2*l
og(5*log(2/x))*log(2/x)^3 - 6*x^6*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 2*x^5*e^15*log(x + e^5)*l
og(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^5*e^10*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^5*e^5*l
og(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 + 3*x^6*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 + x^5*e^15*log(2
)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^5*e^10*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^5*e^5*log(2)^2*log(5
*log(2/x))^2*log(2/x)^3 - 6*x^6*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 - 2*x^5*e^15*log(2)*log(x)*log(5*lo
g(2/x))^2*log(2/x)^3 - 6*x^5*e^10*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 - 6*x^5*e^5*log(2)*log(x)*log(5*l
og(2/x))^2*log(2/x)^3 + 3*x^6*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + x^5*e^15*log(x)^2*log(5*log(2/x))^2*log(
2/x)^3 + 3*x^5*e^10*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^5*e^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 +
6*x^8*log(2)^2*log(2/x)^2 + 9*x^7*e^10*log(2)^2*log(2/x)^2 + 12*x^7*e^5*log(2)^2*log(2/x)^2 + 12*x^7*log(2)^2*
log(x + e^5)*log(2/x)^2 + 18*x^6*e^10*log(2)^2*log(x + e^5)*log(2/x)^2 + 24*x^6*e^5*log(2)^2*log(x + e^5)*log(
2/x)^2 + 6*x^6*log(2)^2*log(x + e^5)^2*log(2/x)^2 + 9*x^5*e^10*log(2)^2*log(x + e^5)^2*log(2/x)^2 + 12*x^5*e^5
*log(2)^2*log(x + e^5)^2*log(2/x)^2 - 12*x^8*log(2)*log(x)*log(2/x)^2 - 18*x^7*e^10*log(2)*log(x)*log(2/x)^2 -
24*x^7*e^5*log(2)*log(x)*log(2/x)^2 - 24*x^7*log(2)*log(x + e^5)*log(x)*log(2/x)^2 - 36*x^6*e^10*log(2)*log(x
+ e^5)*log(x)*log(2/x)^2 - 48*x^6*e^5*log(2)*log(x + e^5)*log(x)*log(2/x)^2 - 12*x^6*log(2)*log(x + e^5)^2*lo
g(x)*log(2/x)^2 - 18*x^5*e^10*log(2)*log(x + e^5)^2*log(x)*log(2/x)^2 - 24*x^5*e^5*log(2)*log(x + e^5)^2*log(x
)*log(2/x)^2 + 6*x^8*log(x)^2*log(2/x)^2 + 9*x^7*e^10*log(x)^2*log(2/x)^2 + 12*x^7*e^5*log(x)^2*log(2/x)^2 + 1
2*x^7*log(x + e^5)*log(x)^2*log(2/x)^2 + 18*x^6*e^10*log(x + e^5)*log(x)^2*log(2/x)^2 + 24*x^6*e^5*log(x + e^5
)*log(x)^2*log(2/x)^2 + 6*x^6*log(x + e^5)^2*log(x)^2*log(2/x)^2 + 9*x^5*e^10*log(x + e^5)^2*log(x)^2*log(2/x)
^2 + 12*x^5*e^5*log(x + e^5)^2*log(x)^2*log(2/x)^2 - 12*x^7*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 18*x^6*e^10*
log(2)^2*log(5*log(2/x))*log(2/x)^2 - 24*x^6*e^5*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 12*x^6*log(2)^2*log(x +
e^5)*log(5*log(2/x))*log(2/x)^2 - 18*x^5*e^10*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2 - 24*x^5*e^5*l
og(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2 + 24*x^7*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 36*x^6*e^1
0*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 48*x^6*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 24*x^6*log(
2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^2 + 36*x^5*e^10*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log
(2/x)^2 + 48*x^5*e^5*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^2 - 12*x^7*log(x)^2*log(5*log(2/x))*l
og(2/x)^2 - 18*x^6*e^10*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 24*x^6*e^5*log(x)^2*log(5*log(2/x))*log(2/x)^2 -
12*x^6*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 18*x^5*e^10*log(x + e^5)*log(x)^2*log(5*log(2/x))*l
og(2/x)^2 - 24*x^5*e^5*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 + 6*x^6*log(2)^2*log(5*log(2/x))^2*log
(2/x)^2 + 9*x^5*e^10*log(2)^2*log(5*log(2/x))^2*log(2/x)^2 + 12*x^5*e^5*log(2)^2*log(5*log(2/x))^2*log(2/x)^2
- 12*x^6*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 - 18*x^5*e^10*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 -
24*x^5*e^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 + 6*x^6*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + 9*x^5*e
^10*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + 12*x^5*e^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + x^7*log(2)^2*lo
g(2/x)^3 + 2*x^6*log(2)^2*log(x + e^5)*log(2/x)^3 + x^5*log(2)^2*log(x + e^5)^2*log(2/x)^3 - 2*x^7*log(2)*log(
x)*log(2/x)^3 - 4*x^6*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 2*x^5*log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 +
x^7*log(x)^2*log(2/x)^3 + 2*x^6*log(x + e^5)*log(x)^2*log(2/x)^3 + x^5*log(x + e^5)^2*log(x)^2*log(2/x)^3 - 2*
x^6*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 2*x^5*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3 + 4*x^6*log(2
)*log(x)*log(5*log(2/x))*log(2/x)^3 + 4*x^5*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 - 2*x^6*log(
x)^2*log(5*log(2/x))*log(2/x)^3 - 2*x^5*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 + x^5*log(2)^2*log(5*
log(2/x))^2*log(2/x)^3 - 2*x^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 + x^5*log(x)^2*log(5*log(2/x))^2*log
(2/x)^3 + 3*x^8*log(2)^2*log(2/x) + 9*x^7*e^5*log(2)^2*log(2/x) + 6*x^7*log(2)^2*log(x + e^5)*log(2/x) + 18*x^
6*e^5*log(2)^2*log(x + e^5)*log(2/x) + 3*x^6*log(2)^2*log(x + e^5)^2*log(2/x) + 9*x^5*e^5*log(2)^2*log(x + e^5
)^2*log(2/x) - 6*x^8*log(2)*log(x)*log(2/x) - 18*x^7*e^5*log(2)*log(x)*log(2/x) - 12*x^7*log(2)*log(x + e^5)*l
og(x)*log(2/x) - 36*x^6*e^5*log(2)*log(x + e^5)*log(x)*log(2/x) - 6*x^6*log(2)*log(x + e^5)^2*log(x)*log(2/x)
- 18*x^5*e^5*log(2)*log(x + e^5)^2*log(x)*log(2/x) + 3*x^8*log(x)^2*log(2/x) + 9*x^7*e^5*log(x)^2*log(2/x) + 6
*x^7*log(x + e^5)*log(x)^2*log(2/x) + 18*x^6*e^5*log(x + e^5)*log(x)^2*log(2/x) + 3*x^6*log(x + e^5)^2*log(x)^
2*log(2/x) + 9*x^5*e^5*log(x + e^5)^2*log(x)^2*log(2/x) - 6*x^7*log(2)^2*log(5*log(2/x))*log(2/x) - 18*x^6*e^5
*log(2)^2*log(5*log(2/x))*log(2/x) - 6*x^6*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x) - 18*x^5*e^5*log(2)^
2*log(x + e^5)*log(5*log(2/x))*log(2/x) + 12*x^7*log(2)*log(x)*log(5*log(2/x))*log(2/x) + 36*x^6*e^5*log(2)*lo
g(x)*log(5*log(2/x))*log(2/x) + 12*x^6*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x) + 36*x^5*e^5*log(2)
*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x) - 6*x^7*log(x)^2*log(5*log(2/x))*log(2/x) - 18*x^6*e^5*log(x)^2*
log(5*log(2/x))*log(2/x) - 6*x^6*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x) - 18*x^5*e^5*log(x + e^5)*log(
x)^2*log(5*log(2/x))*log(2/x) + 3*x^6*log(2)^2*log(5*log(2/x))^2*log(2/x) + 9*x^5*e^5*log(2)^2*log(5*log(2/x))
^2*log(2/x) - 6*x^6*log(2)*log(x)*log(5*log(2/x))^2*log(2/x) - 18*x^5*e^5*log(2)*log(x)*log(5*log(2/x))^2*log(
2/x) + 3*x^6*log(x)^2*log(5*log(2/x))^2*log(2/x) + 9*x^5*e^5*log(x)^2*log(5*log(2/x))^2*log(2/x) + 3*x^7*log(2
)^2*log(2/x)^2 + 3*x^6*e^15*log(2)^2*log(2/x)^2 + 6*x^6*e^10*log(2)^2*log(2/x)^2 + 3*x^6*e^5*log(2)^2*log(2/x)
^2 + 6*x^6*log(2)^2*log(x + e^5)*log(2/x)^2 + 6*x^5*e^15*log(2)^2*log(x + e^5)*log(2/x)^2 + 12*x^5*e^10*log(2)
^2*log(x + e^5)*log(2/x)^2 + 6*x^5*e^5*log(2)^2*log(x + e^5)*log(2/x)^2 + 3*x^5*log(2)^2*log(x + e^5)^2*log(2/
x)^2 + 3*x^4*e^15*log(2)^2*log(x + e^5)^2*log(2/x)^2 + 6*x^4*e^10*log(2)^2*log(x + e^5)^2*log(2/x)^2 + 3*x^4*e
^5*log(2)^2*log(x + e^5)^2*log(2/x)^2 - 6*x^7*log(2)*log(x)*log(2/x)^2 - 6*x^6*e^15*log(2)*log(x)*log(2/x)^2 -
12*x^6*e^10*log(2)*log(x)*log(2/x)^2 - 6*x^6*e^5*log(2)*log(x)*log(2/x)^2 - 12*x^6*log(2)*log(x + e^5)*log(x)
*log(2/x)^2 - 12*x^5*e^15*log(2)*log(x + e^5)*log(x)*log(2/x)^2 - 24*x^5*e^10*log(2)*log(x + e^5)*log(x)*log(2
/x)^2 - 12*x^5*e^5*log(2)*log(x + e^5)*log(x)*log(2/x)^2 - 6*x^5*log(2)*log(x + e^5)^2*log(x)*log(2/x)^2 - 6*x
^4*e^15*log(2)*log(x + e^5)^2*log(x)*log(2/x)^2 - 12*x^4*e^10*log(2)*log(x + e^5)^2*log(x)*log(2/x)^2 - 6*x^4*
e^5*log(2)*log(x + e^5)^2*log(x)*log(2/x)^2 + 3*x^7*log(x)^2*log(2/x)^2 + 3*x^6*e^15*log(x)^2*log(2/x)^2 + 6*x
^6*e^10*log(x)^2*log(2/x)^2 + 3*x^6*e^5*log(x)^2*log(2/x)^2 + 6*x^6*log(x + e^5)*log(x)^2*log(2/x)^2 + 6*x^5*e
^15*log(x + e^5)*log(x)^2*log(2/x)^2 + 12*x^5*e^10*log(x + e^5)*log(x)^2*log(2/x)^2 + 6*x^5*e^5*log(x + e^5)*l
og(x)^2*log(2/x)^2 + 3*x^5*log(x + e^5)^2*log(x)^2*log(2/x)^2 + 3*x^4*e^15*log(x + e^5)^2*log(x)^2*log(2/x)^2
+ 6*x^4*e^10*log(x + e^5)^2*log(x)^2*log(2/x)^2 + 3*x^4*e^5*log(x + e^5)^2*log(x)^2*log(2/x)^2 - 6*x^6*log(2)^
2*log(5*log(2/x))*log(2/x)^2 - 6*x^5*e^15*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 12*x^5*e^10*log(2)^2*log(5*log
(2/x))*log(2/x)^2 - 6*x^5*e^5*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^5*log(2)^2*log(x + e^5)*log(5*log(2/x)
)*log(2/x)^2 - 6*x^4*e^15*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2 - 12*x^4*e^10*log(2)^2*log(x + e^5)
*log(5*log(2/x))*log(2/x)^2 - 6*x^4*e^5*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2 + 12*x^6*log(2)*log(x
)*log(5*log(2/x))*log(2/x)^2 + 12*x^5*e^15*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 24*x^5*e^10*log(2)*log(x
)*log(5*log(2/x))*log(2/x)^2 + 12*x^5*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 12*x^5*log(2)*log(x + e^5
)*log(x)*log(5*log(2/x))*log(2/x)^2 + 12*x^4*e^15*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^2 + 24*x
^4*e^10*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^2 + 12*x^4*e^5*log(2)*log(x + e^5)*log(x)*log(5*lo
g(2/x))*log(2/x)^2 - 6*x^6*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^5*e^15*log(x)^2*log(5*log(2/x))*log(2/x)^
2 - 12*x^5*e^10*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^5*e^5*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^5*lo
g(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^4*e^15*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 -
12*x^4*e^10*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^4*e^5*log(x + e^5)*log(x)^2*log(5*log(2/x)
)*log(2/x)^2 + 3*x^5*log(2)^2*log(5*log(2/x))^2*log(2/x)^2 + 3*x^4*e^15*log(2)^2*log(5*log(2/x))^2*log(2/x)^2
+ 6*x^4*e^10*log(2)^2*log(5*log(2/x))^2*log(2/x)^2 + 3*x^4*e^5*log(2)^2*log(5*log(2/x))^2*log(2/x)^2 - 6*x^5*l
og(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 - 6*x^4*e^15*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 - 12*x^4*e^1
0*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 - 6*x^4*e^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 + 3*x^5*lo
g(x)^2*log(5*log(2/x))^2*log(2/x)^2 + 3*x^4*e^15*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + 6*x^4*e^10*log(x)^2*l
og(5*log(2/x))^2*log(2/x)^2 + 3*x^4*e^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 - 3*x^6*log(2)^2*log(2/x)^3 - 9*
x^5*e^5*log(2)^2*log(2/x)^3 + 6*x^6*log(2)*log(x)*log(2/x)^3 + 18*x^5*e^5*log(2)*log(x)*log(2/x)^3 - 3*x^6*log
(x)^2*log(2/x)^3 - 9*x^5*e^5*log(x)^2*log(2/x)^3 + 3*x^7*log(2)^2*log(2/x) + 9*x^6*e^10*log(2)^2*log(2/x) + 6*
x^6*e^5*log(2)^2*log(2/x) + 6*x^6*log(2)^2*log(x + e^5)*log(2/x) + 18*x^5*e^10*log(2)^2*log(x + e^5)*log(2/x)
+ 12*x^5*e^5*log(2)^2*log(x + e^5)*log(2/x) + 3*x^5*log(2)^2*log(x + e^5)^2*log(2/x) + 9*x^4*e^10*log(2)^2*log
(x + e^5)^2*log(2/x) + 6*x^4*e^5*log(2)^2*log(x + e^5)^2*log(2/x) - 6*x^7*log(2)*log(x)*log(2/x) - 18*x^6*e^10
*log(2)*log(x)*log(2/x) - 12*x^6*e^5*log(2)*log(x)*log(2/x) - 12*x^6*log(2)*log(x + e^5)*log(x)*log(2/x) - 36*
x^5*e^10*log(2)*log(x + e^5)*log(x)*log(2/x) - 24*x^5*e^5*log(2)*log(x + e^5)*log(x)*log(2/x) - 6*x^5*log(2)*l
og(x + e^5)^2*log(x)*log(2/x) - 18*x^4*e^10*log(2)*log(x + e^5)^2*log(x)*log(2/x) - 12*x^4*e^5*log(2)*log(x +
e^5)^2*log(x)*log(2/x) + 3*x^7*log(x)^2*log(2/x) + 9*x^6*e^10*log(x)^2*log(2/x) + 6*x^6*e^5*log(x)^2*log(2/x)
+ 6*x^6*log(x + e^5)*log(x)^2*log(2/x) + 18*x^5*e^10*log(x + e^5)*log(x)^2*log(2/x) + 12*x^5*e^5*log(x + e^5)*
log(x)^2*log(2/x) + 3*x^5*log(x + e^5)^2*log(x)^2*log(2/x) + 9*x^4*e^10*log(x + e^5)^2*log(x)^2*log(2/x) + 6*x
^4*e^5*log(x + e^5)^2*log(x)^2*log(2/x) - 6*x^6*log(2)^2*log(5*log(2/x))*log(2/x) - 18*x^5*e^10*log(2)^2*log(5
*log(2/x))*log(2/x) - 12*x^5*e^5*log(2)^2*log(5*log(2/x))*log(2/x) - 6*x^5*log(2)^2*log(x + e^5)*log(5*log(2/x
))*log(2/x) - 18*x^4*e^10*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x) - 12*x^4*e^5*log(2)^2*log(x + e^5)*lo
g(5*log(2/x))*log(2/x) + 12*x^6*log(2)*log(x)*log(5*log(2/x))*log(2/x) + 36*x^5*e^10*log(2)*log(x)*log(5*log(2
/x))*log(2/x) + 24*x^5*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x) + 12*x^5*log(2)*log(x + e^5)*log(x)*log(5*lo
g(2/x))*log(2/x) + 36*x^4*e^10*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x) + 24*x^4*e^5*log(2)*log(x +
e^5)*log(x)*log(5*log(2/x))*log(2/x) - 6*x^6*log(x)^2*log(5*log(2/x))*log(2/x) - 18*x^5*e^10*log(x)^2*log(5*l
og(2/x))*log(2/x) - 12*x^5*e^5*log(x)^2*log(5*log(2/x))*log(2/x) - 6*x^5*log(x + e^5)*log(x)^2*log(5*log(2/x))
*log(2/x) - 18*x^4*e^10*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x) - 12*x^4*e^5*log(x + e^5)*log(x)^2*log(
5*log(2/x))*log(2/x) + 3*x^5*log(2)^2*log(5*log(2/x))^2*log(2/x) + 9*x^4*e^10*log(2)^2*log(5*log(2/x))^2*log(2
/x) + 6*x^4*e^5*log(2)^2*log(5*log(2/x))^2*log(2/x) - 6*x^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x) - 18*x^4*
e^10*log(2)*log(x)*log(5*log(2/x))^2*log(2/x) - 12*x^4*e^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x) + 3*x^5*lo
g(x)^2*log(5*log(2/x))^2*log(2/x) + 9*x^4*e^10*log(x)^2*log(5*log(2/x))^2*log(2/x) + 6*x^4*e^5*log(x)^2*log(5*
log(2/x))^2*log(2/x) - 9*x^5*log(2)^2*log(2/x)^3 - 9*x^4*e^10*log(2)^2*log(2/x)^3 - 18*x^4*e^5*log(2)^2*log(2/
x)^3 + 18*x^5*log(2)*log(x)*log(2/x)^3 + 18*x^4*e^10*log(2)*log(x)*log(2/x)^3 + 36*x^4*e^5*log(2)*log(x)*log(2
/x)^3 - 9*x^5*log(x)^2*log(2/x)^3 - 9*x^4*e^10*log(x)^2*log(2/x)^3 - 18*x^4*e^5*log(x)^2*log(2/x)^3 + x^7*log(
2)^2 + 3*x^6*e^5*log(2)^2 + 2*x^6*log(2)^2*log(x + e^5) + 6*x^5*e^5*log(2)^2*log(x + e^5) + x^5*log(2)^2*log(x
+ e^5)^2 + 3*x^4*e^5*log(2)^2*log(x + e^5)^2 - 2*x^7*log(2)*log(x) - 6*x^6*e^5*log(2)*log(x) - 4*x^6*log(2)*l
og(x + e^5)*log(x) - 12*x^5*e^5*log(2)*log(x + e^5)*log(x) - 2*x^5*log(2)*log(x + e^5)^2*log(x) - 6*x^4*e^5*lo
g(2)*log(x + e^5)^2*log(x) + x^7*log(x)^2 + 3*x^6*e^5*log(x)^2 + 2*x^6*log(x + e^5)*log(x)^2 + 6*x^5*e^5*log(x
+ e^5)*log(x)^2 + x^5*log(x + e^5)^2*log(x)^2 + 3*x^4*e^5*log(x + e^5)^2*log(x)^2 - 2*x^6*log(2)^2*log(5*log(
2/x)) - 6*x^5*e^5*log(2)^2*log(5*log(2/x)) - 2*x^5*log(2)^2*log(x + e^5)*log(5*log(2/x)) - 6*x^4*e^5*log(2)^2*
log(x + e^5)*log(5*log(2/x)) + 4*x^6*log(2)*log(x)*log(5*log(2/x)) + 12*x^5*e^5*log(2)*log(x)*log(5*log(2/x))
+ 4*x^5*log(2)*log(x + e^5)*log(x)*log(5*log(2/x)) + 12*x^4*e^5*log(2)*log(x + e^5)*log(x)*log(5*log(2/x)) - 2
*x^6*log(x)^2*log(5*log(2/x)) - 6*x^5*e^5*log(x)^2*log(5*log(2/x)) - 2*x^5*log(x + e^5)*log(x)^2*log(5*log(2/x
)) - 6*x^4*e^5*log(x + e^5)*log(x)^2*log(5*log(2/x)) + x^5*log(2)^2*log(5*log(2/x))^2 + 3*x^4*e^5*log(2)^2*log
(5*log(2/x))^2 - 2*x^5*log(2)*log(x)*log(5*log(2/x))^2 - 6*x^4*e^5*log(2)*log(x)*log(5*log(2/x))^2 + x^5*log(x
)^2*log(5*log(2/x))^2 + 3*x^4*e^5*log(x)^2*log(5*log(2/x))^2 + 3*x^5*e^15*log(2)^2*log(2/x) + 3*x^5*e^10*log(2
)^2*log(2/x) + 6*x^4*e^15*log(2)^2*log(x + e^5)*log(2/x) + 6*x^4*e^10*log(2)^2*log(x + e^5)*log(2/x) + 3*x^3*e
^15*log(2)^2*log(x + e^5)^2*log(2/x) + 3*x^3*e^10*log(2)^2*log(x + e^5)^2*log(2/x) - 6*x^5*e^15*log(2)*log(x)*
log(2/x) - 6*x^5*e^10*log(2)*log(x)*log(2/x) - 12*x^4*e^15*log(2)*log(x + e^5)*log(x)*log(2/x) - 12*x^4*e^10*l
og(2)*log(x + e^5)*log(x)*log(2/x) - 6*x^3*e^15*log(2)*log(x + e^5)^2*log(x)*log(2/x) - 6*x^3*e^10*log(2)*log(
x + e^5)^2*log(x)*log(2/x) + 3*x^5*e^15*log(x)^2*log(2/x) + 3*x^5*e^10*log(x)^2*log(2/x) + 6*x^4*e^15*log(x +
e^5)*log(x)^2*log(2/x) + 6*x^4*e^10*log(x + e^5)*log(x)^2*log(2/x) + 3*x^3*e^15*log(x + e^5)^2*log(x)^2*log(2/
x) + 3*x^3*e^10*log(x + e^5)^2*log(x)^2*log(2/x) - 6*x^4*e^15*log(2)^2*log(5*log(2/x))*log(2/x) - 6*x^4*e^10*l
og(2)^2*log(5*log(2/x))*log(2/x) - 6*x^3*e^15*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x) - 6*x^3*e^10*log(
2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x) + 12*x^4*e^15*log(2)*log(x)*log(5*log(2/x))*log(2/x) + 12*x^4*e^10*
log(2)*log(x)*log(5*log(2/x))*log(2/x) + 12*x^3*e^15*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x) + 12*
x^3*e^10*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x) - 6*x^4*e^15*log(x)^2*log(5*log(2/x))*log(2/x) -
6*x^4*e^10*log(x)^2*log(5*log(2/x))*log(2/x) - 6*x^3*e^15*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x) - 6*x
^3*e^10*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x) + 3*x^3*e^15*log(2)^2*log(5*log(2/x))^2*log(2/x) + 3*x^
3*e^10*log(2)^2*log(5*log(2/x))^2*log(2/x) - 6*x^3*e^15*log(2)*log(x)*log(5*log(2/x))^2*log(2/x) - 6*x^3*e^10*
log(2)*log(x)*log(5*log(2/x))^2*log(2/x) + 3*x^3*e^15*log(x)^2*log(5*log(2/x))^2*log(2/x) + 3*x^3*e^10*log(x)^
2*log(5*log(2/x))^2*log(2/x) - 9*x^5*log(2)^2*log(2/x)^2 - 27*x^4*e^5*log(2)^2*log(2/x)^2 - 3*x^4*log(2)^2*log
(x + e^5)*log(2/x)^2 - 9*x^3*e^5*log(2)^2*log(x + e^5)*log(2/x)^2 + 18*x^5*log(2)*log(x)*log(2/x)^2 + 54*x^4*e
^5*log(2)*log(x)*log(2/x)^2 + 6*x^4*log(2)*log(x + e^5)*log(x)*log(2/x)^2 + 18*x^3*e^5*log(2)*log(x + e^5)*log
(x)*log(2/x)^2 - 9*x^5*log(x)^2*log(2/x)^2 - 27*x^4*e^5*log(x)^2*log(2/x)^2 - 3*x^4*log(x + e^5)*log(x)^2*log(
2/x)^2 - 9*x^3*e^5*log(x + e^5)*log(x)^2*log(2/x)^2 + 3*x^4*log(2)^2*log(5*log(2/x))*log(2/x)^2 + 9*x^3*e^5*lo
g(2)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^4*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 - 18*x^3*e^5*log(2)*log(x)*
log(5*log(2/x))*log(2/x)^2 + 3*x^4*log(x)^2*log(5*log(2/x))*log(2/x)^2 + 9*x^3*e^5*log(x)^2*log(5*log(2/x))*lo
g(2/x)^2 - 9*x^4*log(2)^2*log(2/x)^3 - 3*x^3*e^15*log(2)^2*log(2/x)^3 - 9*x^3*e^10*log(2)^2*log(2/x)^3 - 9*x^3
*e^5*log(2)^2*log(2/x)^3 + 3*x^4*log(2)*log(x + e^5)*log(2/x)^3 + 9*x^3*e^5*log(2)*log(x + e^5)*log(2/x)^3 + 1
8*x^4*log(2)*log(x)*log(2/x)^3 + 6*x^3*e^15*log(2)*log(x)*log(2/x)^3 + 18*x^3*e^10*log(2)*log(x)*log(2/x)^3 +
18*x^3*e^5*log(2)*log(x)*log(2/x)^3 - 3*x^4*log(x + e^5)*log(x)*log(2/x)^3 - 9*x^3*e^5*log(x + e^5)*log(x)*log
(2/x)^3 - 9*x^4*log(x)^2*log(2/x)^3 - 3*x^3*e^15*log(x)^2*log(2/x)^3 - 9*x^3*e^10*log(x)^2*log(2/x)^3 - 9*x^3*
e^5*log(x)^2*log(2/x)^3 - 3*x^4*log(2)*log(5*log(2/x))*log(2/x)^3 - 9*x^3*e^5*log(2)*log(5*log(2/x))*log(2/x)^
3 + 3*x^4*log(x)*log(5*log(2/x))*log(2/x)^3 + 9*x^3*e^5*log(x)*log(5*log(2/x))*log(2/x)^3 + 3*x^5*e^10*log(2)^
2 + 6*x^4*e^10*log(2)^2*log(x + e^5) + 3*x^3*e^10*log(2)^2*log(x + e^5)^2 - 6*x^5*e^10*log(2)*log(x) - 12*x^4*
e^10*log(2)*log(x + e^5)*log(x) - 6*x^3*e^10*log(2)*log(x + e^5)^2*log(x) + 3*x^5*e^10*log(x)^2 + 6*x^4*e^10*l
og(x + e^5)*log(x)^2 + 3*x^3*e^10*log(x + e^5)^2*log(x)^2 - 6*x^4*e^10*log(2)^2*log(5*log(2/x)) - 6*x^3*e^10*l
og(2)^2*log(x + e^5)*log(5*log(2/x)) + 12*x^4*e^10*log(2)*log(x)*log(5*log(2/x)) + 12*x^3*e^10*log(2)*log(x +
e^5)*log(x)*log(5*log(2/x)) - 6*x^4*e^10*log(x)^2*log(5*log(2/x)) - 6*x^3*e^10*log(x + e^5)*log(x)^2*log(5*log
(2/x)) + 3*x^3*e^10*log(2)^2*log(5*log(2/x))^2 - 6*x^3*e^10*log(2)*log(x)*log(5*log(2/x))^2 + 3*x^3*e^10*log(x
)^2*log(5*log(2/x))^2 + 3*x^5*log(2)^2*log(2/x) + 9*x^4*e^5*log(2)^2*log(2/x) + 3*x^4*log(2)^2*log(x + e^5)*lo
g(2/x) + 9*x^3*e^5*log(2)^2*log(x + e^5)*log(2/x) - 6*x^5*log(2)*log(x)*log(2/x) - 18*x^4*e^5*log(2)*log(x)*lo
g(2/x) - 6*x^4*log(2)*log(x + e^5)*log(x)*log(2/x) - 18*x^3*e^5*log(2)*log(x + e^5)*log(x)*log(2/x) + 3*x^5*lo
g(x)^2*log(2/x) + 9*x^4*e^5*log(x)^2*log(2/x) + 3*x^4*log(x + e^5)*log(x)^2*log(2/x) + 9*x^3*e^5*log(x + e^5)*
log(x)^2*log(2/x) - 3*x^4*log(2)^2*log(5*log(2/x))*log(2/x) - 9*x^3*e^5*log(2)^2*log(5*log(2/x))*log(2/x) + 6*
x^4*log(2)*log(x)*log(5*log(2/x))*log(2/x) + 18*x^3*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x) - 3*x^4*log(x)^
2*log(5*log(2/x))*log(2/x) - 9*x^3*e^5*log(x)^2*log(5*log(2/x))*log(2/x) - 12*x^4*log(2)^2*log(2/x)^2 - 27*x^3
*e^10*log(2)^2*log(2/x)^2 - 27*x^3*e^5*log(2)^2*log(2/x)^2 - 9*x^2*e^10*log(2)^2*log(x + e^5)*log(2/x)^2 - 3*x
^2*e^5*log(2)^2*log(x + e^5)*log(2/x)^2 + 24*x^4*log(2)*log(x)*log(2/x)^2 + 54*x^3*e^10*log(2)*log(x)*log(2/x)
^2 + 54*x^3*e^5*log(2)*log(x)*log(2/x)^2 + 18*x^2*e^10*log(2)*log(x + e^5)*log(x)*log(2/x)^2 + 6*x^2*e^5*log(2
)*log(x + e^5)*log(x)*log(2/x)^2 - 12*x^4*log(x)^2*log(2/x)^2 - 27*x^3*e^10*log(x)^2*log(2/x)^2 - 27*x^3*e^5*l
og(x)^2*log(2/x)^2 - 9*x^2*e^10*log(x + e^5)*log(x)^2*log(2/x)^2 - 3*x^2*e^5*log(x + e^5)*log(x)^2*log(2/x)^2
+ 9*x^2*e^10*log(2)^2*log(5*log(2/x))*log(2/x)^2 + 3*x^2*e^5*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 18*x^2*e^10
*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 - 6*x^2*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 9*x^2*e^10*lo
g(x)^2*log(5*log(2/x))*log(2/x)^2 + 3*x^2*e^5*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 3*x^5*log(2/x)^3 - 9*x^4*e
^5*log(2/x)^3 - 6*x^4*log(2)*log(2/x)^3 - 9*x^3*e^5*log(2)*log(2/x)^3 - 3*x^3*log(2)^2*log(2/x)^3 - 3*x^4*log(
x + e^5)*log(2/x)^3 - 9*x^3*e^5*log(x + e^5)*log(2/x)^3 + 9*x^2*e^10*log(2)*log(x + e^5)*log(2/x)^3 + 3*x^2*e^
5*log(2)*log(x + e^5)*log(2/x)^3 + 6*x^4*log(x)*log(2/x)^3 + 9*x^3*e^5*log(x)*log(2/x)^3 + 6*x^3*log(2)*log(x)
*log(2/x)^3 - 9*x^2*e^10*log(x + e^5)*log(x)*log(2/x)^3 - 3*x^2*e^5*log(x + e^5)*log(x)*log(2/x)^3 - 3*x^3*log
(x)^2*log(2/x)^3 + 3*x^4*log(5*log(2/x))*log(2/x)^3 + 9*x^3*e^5*log(5*log(2/x))*log(2/x)^3 - 9*x^2*e^10*log(2)
*log(5*log(2/x))*log(2/x)^3 - 3*x^2*e^5*log(2)*log(5*log(2/x))*log(2/x)^3 + 9*x^2*e^10*log(x)*log(5*log(2/x))*
log(2/x)^3 + 3*x^2*e^5*log(x)*log(5*log(2/x))*log(2/x)^3 + x^4*e^15*log(2)^2 + 2*x^3*e^15*log(2)^2*log(x + e^5
) + x^2*e^15*log(2)^2*log(x + e^5)^2 - 2*x^4*e^15*log(2)*log(x) - 4*x^3*e^15*log(2)*log(x + e^5)*log(x) - 2*x^
2*e^15*log(2)*log(x + e^5)^2*log(x) + x^4*e^15*log(x)^2 + 2*x^3*e^15*log(x + e^5)*log(x)^2 + x^2*e^15*log(x +
e^5)^2*log(x)^2 - 2*x^3*e^15*log(2)^2*log(5*log(2/x)) - 2*x^2*e^15*log(2)^2*log(x + e^5)*log(5*log(2/x)) + 4*x
^3*e^15*log(2)*log(x)*log(5*log(2/x)) + 4*x^2*e^15*log(2)*log(x + e^5)*log(x)*log(5*log(2/x)) - 2*x^3*e^15*log
(x)^2*log(5*log(2/x)) - 2*x^2*e^15*log(x + e^5)*log(x)^2*log(5*log(2/x)) + x^2*e^15*log(2)^2*log(5*log(2/x))^2
- 2*x^2*e^15*log(2)*log(x)*log(5*log(2/x))^2 + x^2*e^15*log(x)^2*log(5*log(2/x))^2 + 9*x^3*e^10*log(2)^2*log(
2/x) - 3*x^3*e^5*log(2)^2*log(2/x) + 3*x^3*log(2)^2*log(x + e^5)*log(2/x) + 9*x^2*e^10*log(2)^2*log(x + e^5)*l
og(2/x) + 6*x^2*e^5*log(2)^2*log(x + e^5)*log(2/x) - 18*x^3*e^10*log(2)*log(x)*log(2/x) + 6*x^3*e^5*log(2)*log
(x)*log(2/x) - 6*x^3*log(2)*log(x + e^5)*log(x)*log(2/x) - 18*x^2*e^10*log(2)*log(x + e^5)*log(x)*log(2/x) - 1
2*x^2*e^5*log(2)*log(x + e^5)*log(x)*log(2/x) + 9*x^3*e^10*log(x)^2*log(2/x) - 3*x^3*e^5*log(x)^2*log(2/x) + 3
*x^3*log(x + e^5)*log(x)^2*log(2/x) + 9*x^2*e^10*log(x + e^5)*log(x)^2*log(2/x) + 6*x^2*e^5*log(x + e^5)*log(x
)^2*log(2/x) - 3*x^3*log(2)^2*log(5*log(2/x))*log(2/x) - 9*x^2*e^10*log(2)^2*log(5*log(2/x))*log(2/x) - 6*x^2*
e^5*log(2)^2*log(5*log(2/x))*log(2/x) + 6*x^3*log(2)*log(x)*log(5*log(2/x))*log(2/x) + 18*x^2*e^10*log(2)*log(
x)*log(5*log(2/x))*log(2/x) + 12*x^2*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x) - 3*x^3*log(x)^2*log(5*log(2/x
))*log(2/x) - 9*x^2*e^10*log(x)^2*log(5*log(2/x))*log(2/x) - 6*x^2*e^5*log(x)^2*log(5*log(2/x))*log(2/x) - 6*x
^4*log(2)*log(2/x)^2 - 18*x^3*e^5*log(2)*log(2/x)^2 - 6*x^3*log(2)^2*log(2/x)^2 - 9*x^2*e^15*log(2)^2*log(2/x)
^2 - 15*x^2*e^10*log(2)^2*log(2/x)^2 - 6*x^2*e^5*log(2)^2*log(2/x)^2 - 3*x*e^15*log(2)^2*log(x + e^5)*log(2/x)
^2 - 3*x*e^10*log(2)^2*log(x + e^5)*log(2/x)^2 + 6*x^4*log(x)*log(2/x)^2 + 18*x^3*e^5*log(x)*log(2/x)^2 + 12*x
^3*log(2)*log(x)*log(2/x)^2 + 18*x^2*e^15*log(2)*log(x)*log(2/x)^2 + 30*x^2*e^10*log(2)*log(x)*log(2/x)^2 + 12
*x^2*e^5*log(2)*log(x)*log(2/x)^2 + 6*x*e^15*log(2)*log(x + e^5)*log(x)*log(2/x)^2 + 6*x*e^10*log(2)*log(x + e
^5)*log(x)*log(2/x)^2 - 6*x^3*log(x)^2*log(2/x)^2 - 9*x^2*e^15*log(x)^2*log(2/x)^2 - 15*x^2*e^10*log(x)^2*log(
2/x)^2 - 6*x^2*e^5*log(x)^2*log(2/x)^2 - 3*x*e^15*log(x + e^5)*log(x)^2*log(2/x)^2 - 3*x*e^10*log(x + e^5)*log
(x)^2*log(2/x)^2 + 3*x*e^15*log(2)^2*log(5*log(2/x))*log(2/x)^2 + 3*x*e^10*log(2)^2*log(5*log(2/x))*log(2/x)^2
- 6*x*e^15*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 - 6*x*e^10*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 3*x
*e^15*log(x)^2*log(5*log(2/x))*log(2/x)^2 + 3*x*e^10*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 3*x^4*log(2/x)^3 -
9*x^3*e^10*log(2/x)^3 - 6*x^3*e^5*log(2/x)^3 - 3*x^3*log(2)*log(2/x)^3 - 3*x^2*e^10*log(2)*log(2/x)^3 - 3*x^2*
e^5*log(2)*log(2/x)^3 - 3*x^3*log(x + e^5)*log(2/x)^3 - 9*x^2*e^10*log(x + e^5)*log(2/x)^3 - 6*x^2*e^5*log(x +
e^5)*log(2/x)^3 + 3*x*e^15*log(2)*log(x + e^5)*log(2/x)^3 + 3*x*e^10*log(2)*log(x + e^5)*log(2/x)^3 + 3*x^3*l
og(x)*log(2/x)^3 + 3*x^2*e^10*log(x)*log(2/x)^3 + 3*x^2*e^5*log(x)*log(2/x)^3 - 3*x*e^15*log(x + e^5)*log(x)*l
og(2/x)^3 - 3*x*e^10*log(x + e^5)*log(x)*log(2/x)^3 + 3*x^3*log(5*log(2/x))*log(2/x)^3 + 9*x^2*e^10*log(5*log(
2/x))*log(2/x)^3 + 6*x^2*e^5*log(5*log(2/x))*log(2/x)^3 - 3*x*e^15*log(2)*log(5*log(2/x))*log(2/x)^3 - 3*x*e^1
0*log(2)*log(5*log(2/x))*log(2/x)^3 + 3*x*e^15*log(x)*log(5*log(2/x))*log(2/x)^3 + 3*x*e^10*log(x)*log(5*log(2
/x))*log(2/x)^3 + 3*x^4*log(2)*log(2/x) + 9*x^3*e^5*log(2)*log(2/x) - 3*x^3*log(2)^2*log(2/x) + 3*x^2*e^15*log
(2)^2*log(2/x) - 6*x^2*e^10*log(2)^2*log(2/x) - 6*x^2*e^5*log(2)^2*log(2/x) + 3*x^3*log(2)*log(x + e^5)*log(2/
x) + 9*x^2*e^5*log(2)*log(x + e^5)*log(2/x) + 3*x*e^15*log(2)^2*log(x + e^5)*log(2/x) + 3*x*e^10*log(2)^2*log(
x + e^5)*log(2/x) - 3*x^4*log(x)*log(2/x) - 9*x^3*e^5*log(x)*log(2/x) + 6*x^3*log(2)*log(x)*log(2/x) - 6*x^2*e
^15*log(2)*log(x)*log(2/x) + 12*x^2*e^10*log(2)*log(x)*log(2/x) + 12*x^2*e^5*log(2)*log(x)*log(2/x) - 3*x^3*lo
g(x + e^5)*log(x)*log(2/x) - 9*x^2*e^5*log(x + e^5)*log(x)*log(2/x) - 6*x*e^15*log(2)*log(x + e^5)*log(x)*log(
2/x) - 6*x*e^10*log(2)*log(x + e^5)*log(x)*log(2/x) - 3*x^3*log(x)^2*log(2/x) + 3*x^2*e^15*log(x)^2*log(2/x) -
6*x^2*e^10*log(x)^2*log(2/x) - 6*x^2*e^5*log(x)^2*log(2/x) + 3*x*e^15*log(x + e^5)*log(x)^2*log(2/x) + 3*x*e^
10*log(x + e^5)*log(x)^2*log(2/x) - 3*x^3*log(2)*log(5*log(2/x))*log(2/x) - 9*x^2*e^5*log(2)*log(5*log(2/x))*l
og(2/x) - 3*x*e^15*log(2)^2*log(5*log(2/x))*log(2/x) - 3*x*e^10*log(2)^2*log(5*log(2/x))*log(2/x) + 3*x^3*log(
x)*log(5*log(2/x))*log(2/x) + 9*x^2*e^5*log(x)*log(5*log(2/x))*log(2/x) + 6*x*e^15*log(2)*log(x)*log(5*log(2/x
))*log(2/x) + 6*x*e^10*log(2)*log(x)*log(5*log(2/x))*log(2/x) - 3*x*e^15*log(x)^2*log(5*log(2/x))*log(2/x) - 3
*x*e^10*log(x)^2*log(5*log(2/x))*log(2/x) - 3*x^4*log(2/x)^2 - 9*x^3*e^5*log(2/x)^2 - 6*x^3*log(2)*log(2/x)^2
- 18*x^2*e^10*log(2)*log(2/x)^2 - 12*x^2*e^5*log(2)*log(2/x)^2 - 3*x^3*log(x + e^5)*log(2/x)^2 - 9*x^2*e^5*log
(x + e^5)*log(2/x)^2 + 6*x^3*log(x)*log(2/x)^2 + 18*x^2*e^10*log(x)*log(2/x)^2 + 12*x^2*e^5*log(x)*log(2/x)^2
+ 3*x^3*log(5*log(2/x))*log(2/x)^2 + 9*x^2*e^5*log(5*log(2/x))*log(2/x)^2 - 3*x^2*e^15*log(2/x)^3 - 3*x^2*e^10
*log(2/x)^3 - 3*x*e^15*log(x + e^5)*log(2/x)^3 - 3*x*e^10*log(x + e^5)*log(2/x)^3 + 3*x*e^15*log(5*log(2/x))*l
og(2/x)^3 + 3*x*e^10*log(5*log(2/x))*log(2/x)^3 - 3*x^3*log(2)*log(2/x) + 9*x^2*e^10*log(2)*log(2/x) - 9*x^2*e
^5*log(2)*log(2/x) - 3*x*e^15*log(2)^2*log(2/x) - 3*x*e^10*log(2)^2*log(2/x) + 9*x*e^10*log(2)*log(x + e^5)*lo
g(2/x) + 3*x^3*log(x)*log(2/x) - 9*x^2*e^10*log(x)*log(2/x) + 9*x^2*e^5*log(x)*log(2/x) + 6*x*e^15*log(2)*log(
x)*log(2/x) + 6*x*e^10*log(2)*log(x)*log(2/x) - 9*x*e^10*log(x + e^5)*log(x)*log(2/x) - 3*x*e^15*log(x)^2*log(
2/x) - 3*x*e^10*log(x)^2*log(2/x) - 9*x*e^10*log(2)*log(5*log(2/x))*log(2/x) + 9*x*e^10*log(x)*log(5*log(2/x))
*log(2/x) - 9*x^2*e^10*log(2/x)^2 - 6*x*e^15*log(2)*log(2/x)^2 - 6*x*e^10*log(2)*log(2/x)^2 - 9*x*e^10*log(x +
e^5)*log(2/x)^2 + 6*x*e^15*log(x)*log(2/x)^2 + 6*x*e^10*log(x)*log(2/x)^2 + 9*x*e^10*log(5*log(2/x))*log(2/x)
^2 + 3*x*e^15*log(2)*log(2/x) - 9*x*e^10*log(2)*log(2/x) + 3*e^15*log(2)*log(x + e^5)*log(2/x) - 3*x*e^15*log(
x)*log(2/x) + 9*x*e^10*log(x)*log(2/x) - 3*e^15*log(x + e^5)*log(x)*log(2/x) - 3*e^15*log(2)*log(5*log(2/x))*l
og(2/x) + 3*e^15*log(x)*log(5*log(2/x))*log(2/x) - 3*x*e^15*log(2/x)^2 - 3*e^15*log(x + e^5)*log(2/x)^2 + 3*e^
15*log(5*log(2/x))*log(2/x)^2 - 3*e^15*log(2)*log(2/x) + 3*e^15*log(x)*log(2/x))/(x^8*log(2)^2*log(2/x)^3 + 3*
x^7*e^5*log(2)^2*log(2/x)^3 + 2*x^7*log(2)^2*log(x + e^5)*log(2/x)^3 + 6*x^6*e^5*log(2)^2*log(x + e^5)*log(2/x
)^3 + x^6*log(2)^2*log(x + e^5)^2*log(2/x)^3 + 3*x^5*e^5*log(2)^2*log(x + e^5)^2*log(2/x)^3 - 2*x^8*log(2)*log
(x)*log(2/x)^3 - 6*x^7*e^5*log(2)*log(x)*log(2/x)^3 - 4*x^7*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 12*x^6*e^5
*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 2*x^6*log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 - 6*x^5*e^5*log(2)*log(
x + e^5)^2*log(x)*log(2/x)^3 + x^8*log(x)^2*log(2/x)^3 + 3*x^7*e^5*log(x)^2*log(2/x)^3 + 2*x^7*log(x + e^5)*lo
g(x)^2*log(2/x)^3 + 6*x^6*e^5*log(x + e^5)*log(x)^2*log(2/x)^3 + x^6*log(x + e^5)^2*log(x)^2*log(2/x)^3 + 3*x^
5*e^5*log(x + e^5)^2*log(x)^2*log(2/x)^3 - 2*x^7*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^6*e^5*log(2)^2*log(
5*log(2/x))*log(2/x)^3 - 2*x^6*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3 - 6*x^5*e^5*log(2)^2*log(x + e
^5)*log(5*log(2/x))*log(2/x)^3 + 4*x^7*log(2)*log(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^6*e^5*log(2)*log(x)*log
(5*log(2/x))*log(2/x)^3 + 4*x^6*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^5*e^5*log(2)*log(
x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 - 2*x^7*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^6*e^5*log(x)^2*lo
g(5*log(2/x))*log(2/x)^3 - 2*x^6*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^5*e^5*log(x + e^5)*log
(x)^2*log(5*log(2/x))*log(2/x)^3 + x^6*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^5*e^5*log(2)^2*log(5*log(2/
x))^2*log(2/x)^3 - 2*x^6*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 - 6*x^5*e^5*log(2)*log(x)*log(5*log(2/x))^
2*log(2/x)^3 + x^6*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^5*e^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + 3
*x^7*log(2)^2*log(2/x)^3 + 3*x^6*e^10*log(2)^2*log(2/x)^3 + 6*x^6*e^5*log(2)^2*log(2/x)^3 + 6*x^6*log(2)^2*log
(x + e^5)*log(2/x)^3 + 6*x^5*e^10*log(2)^2*log(x + e^5)*log(2/x)^3 + 12*x^5*e^5*log(2)^2*log(x + e^5)*log(2/x)
^3 + 3*x^5*log(2)^2*log(x + e^5)^2*log(2/x)^3 + 3*x^4*e^10*log(2)^2*log(x + e^5)^2*log(2/x)^3 + 6*x^4*e^5*log(
2)^2*log(x + e^5)^2*log(2/x)^3 - 6*x^7*log(2)*log(x)*log(2/x)^3 - 6*x^6*e^10*log(2)*log(x)*log(2/x)^3 - 12*x^6
*e^5*log(2)*log(x)*log(2/x)^3 - 12*x^6*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 12*x^5*e^10*log(2)*log(x + e^5)
*log(x)*log(2/x)^3 - 24*x^5*e^5*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 6*x^5*log(2)*log(x + e^5)^2*log(x)*log
(2/x)^3 - 6*x^4*e^10*log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 - 12*x^4*e^5*log(2)*log(x + e^5)^2*log(x)*log(2/x
)^3 + 3*x^7*log(x)^2*log(2/x)^3 + 3*x^6*e^10*log(x)^2*log(2/x)^3 + 6*x^6*e^5*log(x)^2*log(2/x)^3 + 6*x^6*log(x
+ e^5)*log(x)^2*log(2/x)^3 + 6*x^5*e^10*log(x + e^5)*log(x)^2*log(2/x)^3 + 12*x^5*e^5*log(x + e^5)*log(x)^2*l
og(2/x)^3 + 3*x^5*log(x + e^5)^2*log(x)^2*log(2/x)^3 + 3*x^4*e^10*log(x + e^5)^2*log(x)^2*log(2/x)^3 + 6*x^4*e
^5*log(x + e^5)^2*log(x)^2*log(2/x)^3 - 6*x^6*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^5*e^10*log(2)^2*log(5*
log(2/x))*log(2/x)^3 - 12*x^5*e^5*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^5*log(2)^2*log(x + e^5)*log(5*log(
2/x))*log(2/x)^3 - 6*x^4*e^10*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3 - 12*x^4*e^5*log(2)^2*log(x + e
^5)*log(5*log(2/x))*log(2/x)^3 + 12*x^6*log(2)*log(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^5*e^10*log(2)*log(x)*l
og(5*log(2/x))*log(2/x)^3 + 24*x^5*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^5*log(2)*log(x + e^5)*l
og(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^4*e^10*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 + 24*x^4*
e^5*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 - 6*x^6*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^5*
e^10*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 12*x^5*e^5*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^5*log(x + e^5)
*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^4*e^10*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 12*x^4*e^
5*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 + 3*x^5*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^4*e^10*
log(2)^2*log(5*log(2/x))^2*log(2/x)^3 + 6*x^4*e^5*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 - 6*x^5*log(2)*log(x)*
log(5*log(2/x))^2*log(2/x)^3 - 6*x^4*e^10*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 - 12*x^4*e^5*log(2)*log(x
)*log(5*log(2/x))^2*log(2/x)^3 + 3*x^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^4*e^10*log(x)^2*log(5*log(2
/x))^2*log(2/x)^3 + 6*x^4*e^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^7*log(2)^2*log(2/x)^2 + 9*x^6*e^5*lo
g(2)^2*log(2/x)^2 + 6*x^6*log(2)^2*log(x + e^5)*log(2/x)^2 + 18*x^5*e^5*log(2)^2*log(x + e^5)*log(2/x)^2 + 3*x
^5*log(2)^2*log(x + e^5)^2*log(2/x)^2 + 9*x^4*e^5*log(2)^2*log(x + e^5)^2*log(2/x)^2 - 6*x^7*log(2)*log(x)*log
(2/x)^2 - 18*x^6*e^5*log(2)*log(x)*log(2/x)^2 - 12*x^6*log(2)*log(x + e^5)*log(x)*log(2/x)^2 - 36*x^5*e^5*log(
2)*log(x + e^5)*log(x)*log(2/x)^2 - 6*x^5*log(2)*log(x + e^5)^2*log(x)*log(2/x)^2 - 18*x^4*e^5*log(2)*log(x +
e^5)^2*log(x)*log(2/x)^2 + 3*x^7*log(x)^2*log(2/x)^2 + 9*x^6*e^5*log(x)^2*log(2/x)^2 + 6*x^6*log(x + e^5)*log(
x)^2*log(2/x)^2 + 18*x^5*e^5*log(x + e^5)*log(x)^2*log(2/x)^2 + 3*x^5*log(x + e^5)^2*log(x)^2*log(2/x)^2 + 9*x
^4*e^5*log(x + e^5)^2*log(x)^2*log(2/x)^2 - 6*x^6*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 18*x^5*e^5*log(2)^2*lo
g(5*log(2/x))*log(2/x)^2 - 6*x^5*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2 - 18*x^4*e^5*log(2)^2*log(x
+ e^5)*log(5*log(2/x))*log(2/x)^2 + 12*x^6*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 36*x^5*e^5*log(2)*log(x)
*log(5*log(2/x))*log(2/x)^2 + 12*x^5*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^2 + 36*x^4*e^5*log(2)
*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^2 - 6*x^6*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 18*x^5*e^5*log(x
)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^5*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 18*x^4*e^5*log(x + e
^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 + 3*x^5*log(2)^2*log(5*log(2/x))^2*log(2/x)^2 + 9*x^4*e^5*log(2)^2*log
(5*log(2/x))^2*log(2/x)^2 - 6*x^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 - 18*x^4*e^5*log(2)*log(x)*log(5*
log(2/x))^2*log(2/x)^2 + 3*x^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + 9*x^4*e^5*log(x)^2*log(5*log(2/x))^2*lo
g(2/x)^2 + 3*x^6*log(2)^2*log(2/x)^3 + x^5*e^15*log(2)^2*log(2/x)^3 + 3*x^5*e^10*log(2)^2*log(2/x)^3 + 3*x^5*e
^5*log(2)^2*log(2/x)^3 + 6*x^5*log(2)^2*log(x + e^5)*log(2/x)^3 + 2*x^4*e^15*log(2)^2*log(x + e^5)*log(2/x)^3
+ 6*x^4*e^10*log(2)^2*log(x + e^5)*log(2/x)^3 + 6*x^4*e^5*log(2)^2*log(x + e^5)*log(2/x)^3 + 3*x^4*log(2)^2*lo
g(x + e^5)^2*log(2/x)^3 + x^3*e^15*log(2)^2*log(x + e^5)^2*log(2/x)^3 + 3*x^3*e^10*log(2)^2*log(x + e^5)^2*log
(2/x)^3 + 3*x^3*e^5*log(2)^2*log(x + e^5)^2*log(2/x)^3 - 6*x^6*log(2)*log(x)*log(2/x)^3 - 2*x^5*e^15*log(2)*lo
g(x)*log(2/x)^3 - 6*x^5*e^10*log(2)*log(x)*log(2/x)^3 - 6*x^5*e^5*log(2)*log(x)*log(2/x)^3 - 12*x^5*log(2)*log
(x + e^5)*log(x)*log(2/x)^3 - 4*x^4*e^15*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 12*x^4*e^10*log(2)*log(x + e^
5)*log(x)*log(2/x)^3 - 12*x^4*e^5*log(2)*log(x + e^5)*log(x)*log(2/x)^3 - 6*x^4*log(2)*log(x + e^5)^2*log(x)*l
og(2/x)^3 - 2*x^3*e^15*log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 - 6*x^3*e^10*log(2)*log(x + e^5)^2*log(x)*log(2
/x)^3 - 6*x^3*e^5*log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 + 3*x^6*log(x)^2*log(2/x)^3 + x^5*e^15*log(x)^2*log(
2/x)^3 + 3*x^5*e^10*log(x)^2*log(2/x)^3 + 3*x^5*e^5*log(x)^2*log(2/x)^3 + 6*x^5*log(x + e^5)*log(x)^2*log(2/x)
^3 + 2*x^4*e^15*log(x + e^5)*log(x)^2*log(2/x)^3 + 6*x^4*e^10*log(x + e^5)*log(x)^2*log(2/x)^3 + 6*x^4*e^5*log
(x + e^5)*log(x)^2*log(2/x)^3 + 3*x^4*log(x + e^5)^2*log(x)^2*log(2/x)^3 + x^3*e^15*log(x + e^5)^2*log(x)^2*lo
g(2/x)^3 + 3*x^3*e^10*log(x + e^5)^2*log(x)^2*log(2/x)^3 + 3*x^3*e^5*log(x + e^5)^2*log(x)^2*log(2/x)^3 - 6*x^
5*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 2*x^4*e^15*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^4*e^10*log(2)^2*l
og(5*log(2/x))*log(2/x)^3 - 6*x^4*e^5*log(2)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^4*log(2)^2*log(x + e^5)*log(5*
log(2/x))*log(2/x)^3 - 2*x^3*e^15*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3 - 6*x^3*e^10*log(2)^2*log(x
+ e^5)*log(5*log(2/x))*log(2/x)^3 - 6*x^3*e^5*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3 + 12*x^5*log(2
)*log(x)*log(5*log(2/x))*log(2/x)^3 + 4*x^4*e^15*log(2)*log(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^4*e^10*log(2)
*log(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^4*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^4*log(2)*log(x
+ e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 + 4*x^3*e^15*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 +
12*x^3*e^10*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 + 12*x^3*e^5*log(2)*log(x + e^5)*log(x)*log
(5*log(2/x))*log(2/x)^3 - 6*x^5*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 2*x^4*e^15*log(x)^2*log(5*log(2/x))*log(
2/x)^3 - 6*x^4*e^10*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^4*e^5*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^
4*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 2*x^3*e^15*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)
^3 - 6*x^3*e^10*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 - 6*x^3*e^5*log(x + e^5)*log(x)^2*log(5*log(2
/x))*log(2/x)^3 + 3*x^4*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 + x^3*e^15*log(2)^2*log(5*log(2/x))^2*log(2/x)^3
+ 3*x^3*e^10*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^3*e^5*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 - 6*x^4*
log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 - 2*x^3*e^15*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 - 6*x^3*e^1
0*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 - 6*x^3*e^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 + 3*x^4*lo
g(x)^2*log(5*log(2/x))^2*log(2/x)^3 + x^3*e^15*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^3*e^10*log(x)^2*log
(5*log(2/x))^2*log(2/x)^3 + 3*x^3*e^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + 6*x^6*log(2)^2*log(2/x)^2 + 9*x^
5*e^10*log(2)^2*log(2/x)^2 + 12*x^5*e^5*log(2)^2*log(2/x)^2 + 12*x^5*log(2)^2*log(x + e^5)*log(2/x)^2 + 18*x^4
*e^10*log(2)^2*log(x + e^5)*log(2/x)^2 + 24*x^4*e^5*log(2)^2*log(x + e^5)*log(2/x)^2 + 6*x^4*log(2)^2*log(x +
e^5)^2*log(2/x)^2 + 9*x^3*e^10*log(2)^2*log(x + e^5)^2*log(2/x)^2 + 12*x^3*e^5*log(2)^2*log(x + e^5)^2*log(2/x
)^2 - 12*x^6*log(2)*log(x)*log(2/x)^2 - 18*x^5*e^10*log(2)*log(x)*log(2/x)^2 - 24*x^5*e^5*log(2)*log(x)*log(2/
x)^2 - 24*x^5*log(2)*log(x + e^5)*log(x)*log(2/x)^2 - 36*x^4*e^10*log(2)*log(x + e^5)*log(x)*log(2/x)^2 - 48*x
^4*e^5*log(2)*log(x + e^5)*log(x)*log(2/x)^2 - 12*x^4*log(2)*log(x + e^5)^2*log(x)*log(2/x)^2 - 18*x^3*e^10*lo
g(2)*log(x + e^5)^2*log(x)*log(2/x)^2 - 24*x^3*e^5*log(2)*log(x + e^5)^2*log(x)*log(2/x)^2 + 6*x^6*log(x)^2*lo
g(2/x)^2 + 9*x^5*e^10*log(x)^2*log(2/x)^2 + 12*x^5*e^5*log(x)^2*log(2/x)^2 + 12*x^5*log(x + e^5)*log(x)^2*log(
2/x)^2 + 18*x^4*e^10*log(x + e^5)*log(x)^2*log(2/x)^2 + 24*x^4*e^5*log(x + e^5)*log(x)^2*log(2/x)^2 + 6*x^4*lo
g(x + e^5)^2*log(x)^2*log(2/x)^2 + 9*x^3*e^10*log(x + e^5)^2*log(x)^2*log(2/x)^2 + 12*x^3*e^5*log(x + e^5)^2*l
og(x)^2*log(2/x)^2 - 12*x^5*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 18*x^4*e^10*log(2)^2*log(5*log(2/x))*log(2/x
)^2 - 24*x^4*e^5*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 12*x^4*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2
- 18*x^3*e^10*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2 - 24*x^3*e^5*log(2)^2*log(x + e^5)*log(5*log(2
/x))*log(2/x)^2 + 24*x^5*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 36*x^4*e^10*log(2)*log(x)*log(5*log(2/x))*
log(2/x)^2 + 48*x^4*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 24*x^4*log(2)*log(x + e^5)*log(x)*log(5*log
(2/x))*log(2/x)^2 + 36*x^3*e^10*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^2 + 48*x^3*e^5*log(2)*log(
x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^2 - 12*x^5*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 18*x^4*e^10*log(x)^2
*log(5*log(2/x))*log(2/x)^2 - 24*x^4*e^5*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 12*x^4*log(x + e^5)*log(x)^2*lo
g(5*log(2/x))*log(2/x)^2 - 18*x^3*e^10*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 24*x^3*e^5*log(x + e
^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 + 6*x^4*log(2)^2*log(5*log(2/x))^2*log(2/x)^2 + 9*x^3*e^10*log(2)^2*lo
g(5*log(2/x))^2*log(2/x)^2 + 12*x^3*e^5*log(2)^2*log(5*log(2/x))^2*log(2/x)^2 - 12*x^4*log(2)*log(x)*log(5*log
(2/x))^2*log(2/x)^2 - 18*x^3*e^10*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 - 24*x^3*e^5*log(2)*log(x)*log(5*
log(2/x))^2*log(2/x)^2 + 6*x^4*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + 9*x^3*e^10*log(x)^2*log(5*log(2/x))^2*l
og(2/x)^2 + 12*x^3*e^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + x^5*log(2)^2*log(2/x)^3 + 2*x^4*log(2)^2*log(x
+ e^5)*log(2/x)^3 + x^3*log(2)^2*log(x + e^5)^2*log(2/x)^3 - 2*x^5*log(2)*log(x)*log(2/x)^3 - 4*x^4*log(2)*log
(x + e^5)*log(x)*log(2/x)^3 - 2*x^3*log(2)*log(x + e^5)^2*log(x)*log(2/x)^3 + x^5*log(x)^2*log(2/x)^3 + 2*x^4*
log(x + e^5)*log(x)^2*log(2/x)^3 + x^3*log(x + e^5)^2*log(x)^2*log(2/x)^3 - 2*x^4*log(2)^2*log(5*log(2/x))*log
(2/x)^3 - 2*x^3*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^3 + 4*x^4*log(2)*log(x)*log(5*log(2/x))*log(2/x
)^3 + 4*x^3*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^3 - 2*x^4*log(x)^2*log(5*log(2/x))*log(2/x)^3
- 2*x^3*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^3 + x^3*log(2)^2*log(5*log(2/x))^2*log(2/x)^3 - 2*x^3*l
og(2)*log(x)*log(5*log(2/x))^2*log(2/x)^3 + x^3*log(x)^2*log(5*log(2/x))^2*log(2/x)^3 + 3*x^6*log(2)^2*log(2/x
) + 9*x^5*e^5*log(2)^2*log(2/x) + 6*x^5*log(2)^2*log(x + e^5)*log(2/x) + 18*x^4*e^5*log(2)^2*log(x + e^5)*log(
2/x) + 3*x^4*log(2)^2*log(x + e^5)^2*log(2/x) + 9*x^3*e^5*log(2)^2*log(x + e^5)^2*log(2/x) - 6*x^6*log(2)*log(
x)*log(2/x) - 18*x^5*e^5*log(2)*log(x)*log(2/x) - 12*x^5*log(2)*log(x + e^5)*log(x)*log(2/x) - 36*x^4*e^5*log(
2)*log(x + e^5)*log(x)*log(2/x) - 6*x^4*log(2)*log(x + e^5)^2*log(x)*log(2/x) - 18*x^3*e^5*log(2)*log(x + e^5)
^2*log(x)*log(2/x) + 3*x^6*log(x)^2*log(2/x) + 9*x^5*e^5*log(x)^2*log(2/x) + 6*x^5*log(x + e^5)*log(x)^2*log(2
/x) + 18*x^4*e^5*log(x + e^5)*log(x)^2*log(2/x) + 3*x^4*log(x + e^5)^2*log(x)^2*log(2/x) + 9*x^3*e^5*log(x + e
^5)^2*log(x)^2*log(2/x) - 6*x^5*log(2)^2*log(5*log(2/x))*log(2/x) - 18*x^4*e^5*log(2)^2*log(5*log(2/x))*log(2/
x) - 6*x^4*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x) - 18*x^3*e^5*log(2)^2*log(x + e^5)*log(5*log(2/x))*l
og(2/x) + 12*x^5*log(2)*log(x)*log(5*log(2/x))*log(2/x) + 36*x^4*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x) +
12*x^4*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x) + 36*x^3*e^5*log(2)*log(x + e^5)*log(x)*log(5*log(2
/x))*log(2/x) - 6*x^5*log(x)^2*log(5*log(2/x))*log(2/x) - 18*x^4*e^5*log(x)^2*log(5*log(2/x))*log(2/x) - 6*x^4
*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x) - 18*x^3*e^5*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x) +
3*x^4*log(2)^2*log(5*log(2/x))^2*log(2/x) + 9*x^3*e^5*log(2)^2*log(5*log(2/x))^2*log(2/x) - 6*x^4*log(2)*log(x
)*log(5*log(2/x))^2*log(2/x) - 18*x^3*e^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x) + 3*x^4*log(x)^2*log(5*log(
2/x))^2*log(2/x) + 9*x^3*e^5*log(x)^2*log(5*log(2/x))^2*log(2/x) + 3*x^5*log(2)^2*log(2/x)^2 + 3*x^4*e^15*log(
2)^2*log(2/x)^2 + 6*x^4*e^10*log(2)^2*log(2/x)^2 + 3*x^4*e^5*log(2)^2*log(2/x)^2 + 6*x^4*log(2)^2*log(x + e^5)
*log(2/x)^2 + 6*x^3*e^15*log(2)^2*log(x + e^5)*log(2/x)^2 + 12*x^3*e^10*log(2)^2*log(x + e^5)*log(2/x)^2 + 6*x
^3*e^5*log(2)^2*log(x + e^5)*log(2/x)^2 + 3*x^3*log(2)^2*log(x + e^5)^2*log(2/x)^2 + 3*x^2*e^15*log(2)^2*log(x
+ e^5)^2*log(2/x)^2 + 6*x^2*e^10*log(2)^2*log(x + e^5)^2*log(2/x)^2 + 3*x^2*e^5*log(2)^2*log(x + e^5)^2*log(2
/x)^2 - 6*x^5*log(2)*log(x)*log(2/x)^2 - 6*x^4*e^15*log(2)*log(x)*log(2/x)^2 - 12*x^4*e^10*log(2)*log(x)*log(2
/x)^2 - 6*x^4*e^5*log(2)*log(x)*log(2/x)^2 - 12*x^4*log(2)*log(x + e^5)*log(x)*log(2/x)^2 - 12*x^3*e^15*log(2)
*log(x + e^5)*log(x)*log(2/x)^2 - 24*x^3*e^10*log(2)*log(x + e^5)*log(x)*log(2/x)^2 - 12*x^3*e^5*log(2)*log(x
+ e^5)*log(x)*log(2/x)^2 - 6*x^3*log(2)*log(x + e^5)^2*log(x)*log(2/x)^2 - 6*x^2*e^15*log(2)*log(x + e^5)^2*lo
g(x)*log(2/x)^2 - 12*x^2*e^10*log(2)*log(x + e^5)^2*log(x)*log(2/x)^2 - 6*x^2*e^5*log(2)*log(x + e^5)^2*log(x)
*log(2/x)^2 + 3*x^5*log(x)^2*log(2/x)^2 + 3*x^4*e^15*log(x)^2*log(2/x)^2 + 6*x^4*e^10*log(x)^2*log(2/x)^2 + 3*
x^4*e^5*log(x)^2*log(2/x)^2 + 6*x^4*log(x + e^5)*log(x)^2*log(2/x)^2 + 6*x^3*e^15*log(x + e^5)*log(x)^2*log(2/
x)^2 + 12*x^3*e^10*log(x + e^5)*log(x)^2*log(2/x)^2 + 6*x^3*e^5*log(x + e^5)*log(x)^2*log(2/x)^2 + 3*x^3*log(x
+ e^5)^2*log(x)^2*log(2/x)^2 + 3*x^2*e^15*log(x + e^5)^2*log(x)^2*log(2/x)^2 + 6*x^2*e^10*log(x + e^5)^2*log(
x)^2*log(2/x)^2 + 3*x^2*e^5*log(x + e^5)^2*log(x)^2*log(2/x)^2 - 6*x^4*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 6
*x^3*e^15*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 12*x^3*e^10*log(2)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^3*e^5*lo
g(2)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^3*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2 - 6*x^2*e^15*log(2)
^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2 - 12*x^2*e^10*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2 - 6*
x^2*e^5*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x)^2 + 12*x^4*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 1
2*x^3*e^15*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 24*x^3*e^10*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 1
2*x^3*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x)^2 + 12*x^3*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x
)^2 + 12*x^2*e^15*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^2 + 24*x^2*e^10*log(2)*log(x + e^5)*log(
x)*log(5*log(2/x))*log(2/x)^2 + 12*x^2*e^5*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x)^2 - 6*x^4*log(x
)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^3*e^15*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 12*x^3*e^10*log(x)^2*log(5*l
og(2/x))*log(2/x)^2 - 6*x^3*e^5*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 6*x^3*log(x + e^5)*log(x)^2*log(5*log(2/
x))*log(2/x)^2 - 6*x^2*e^15*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 - 12*x^2*e^10*log(x + e^5)*log(x)
^2*log(5*log(2/x))*log(2/x)^2 - 6*x^2*e^5*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)^2 + 3*x^3*log(2)^2*lo
g(5*log(2/x))^2*log(2/x)^2 + 3*x^2*e^15*log(2)^2*log(5*log(2/x))^2*log(2/x)^2 + 6*x^2*e^10*log(2)^2*log(5*log(
2/x))^2*log(2/x)^2 + 3*x^2*e^5*log(2)^2*log(5*log(2/x))^2*log(2/x)^2 - 6*x^3*log(2)*log(x)*log(5*log(2/x))^2*l
og(2/x)^2 - 6*x^2*e^15*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 - 12*x^2*e^10*log(2)*log(x)*log(5*log(2/x))^
2*log(2/x)^2 - 6*x^2*e^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x)^2 + 3*x^3*log(x)^2*log(5*log(2/x))^2*log(2/x
)^2 + 3*x^2*e^15*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + 6*x^2*e^10*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + 3*
x^2*e^5*log(x)^2*log(5*log(2/x))^2*log(2/x)^2 + 3*x^5*log(2)^2*log(2/x) + 9*x^4*e^10*log(2)^2*log(2/x) + 6*x^4
*e^5*log(2)^2*log(2/x) + 6*x^4*log(2)^2*log(x + e^5)*log(2/x) + 18*x^3*e^10*log(2)^2*log(x + e^5)*log(2/x) + 1
2*x^3*e^5*log(2)^2*log(x + e^5)*log(2/x) + 3*x^3*log(2)^2*log(x + e^5)^2*log(2/x) + 9*x^2*e^10*log(2)^2*log(x
+ e^5)^2*log(2/x) + 6*x^2*e^5*log(2)^2*log(x + e^5)^2*log(2/x) - 6*x^5*log(2)*log(x)*log(2/x) - 18*x^4*e^10*lo
g(2)*log(x)*log(2/x) - 12*x^4*e^5*log(2)*log(x)*log(2/x) - 12*x^4*log(2)*log(x + e^5)*log(x)*log(2/x) - 36*x^3
*e^10*log(2)*log(x + e^5)*log(x)*log(2/x) - 24*x^3*e^5*log(2)*log(x + e^5)*log(x)*log(2/x) - 6*x^3*log(2)*log(
x + e^5)^2*log(x)*log(2/x) - 18*x^2*e^10*log(2)*log(x + e^5)^2*log(x)*log(2/x) - 12*x^2*e^5*log(2)*log(x + e^5
)^2*log(x)*log(2/x) + 3*x^5*log(x)^2*log(2/x) + 9*x^4*e^10*log(x)^2*log(2/x) + 6*x^4*e^5*log(x)^2*log(2/x) + 6
*x^4*log(x + e^5)*log(x)^2*log(2/x) + 18*x^3*e^10*log(x + e^5)*log(x)^2*log(2/x) + 12*x^3*e^5*log(x + e^5)*log
(x)^2*log(2/x) + 3*x^3*log(x + e^5)^2*log(x)^2*log(2/x) + 9*x^2*e^10*log(x + e^5)^2*log(x)^2*log(2/x) + 6*x^2*
e^5*log(x + e^5)^2*log(x)^2*log(2/x) - 6*x^4*log(2)^2*log(5*log(2/x))*log(2/x) - 18*x^3*e^10*log(2)^2*log(5*lo
g(2/x))*log(2/x) - 12*x^3*e^5*log(2)^2*log(5*log(2/x))*log(2/x) - 6*x^3*log(2)^2*log(x + e^5)*log(5*log(2/x))*
log(2/x) - 18*x^2*e^10*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x) - 12*x^2*e^5*log(2)^2*log(x + e^5)*log(5
*log(2/x))*log(2/x) + 12*x^4*log(2)*log(x)*log(5*log(2/x))*log(2/x) + 36*x^3*e^10*log(2)*log(x)*log(5*log(2/x)
)*log(2/x) + 24*x^3*e^5*log(2)*log(x)*log(5*log(2/x))*log(2/x) + 12*x^3*log(2)*log(x + e^5)*log(x)*log(5*log(2
/x))*log(2/x) + 36*x^2*e^10*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x) + 24*x^2*e^5*log(2)*log(x + e^
5)*log(x)*log(5*log(2/x))*log(2/x) - 6*x^4*log(x)^2*log(5*log(2/x))*log(2/x) - 18*x^3*e^10*log(x)^2*log(5*log(
2/x))*log(2/x) - 12*x^3*e^5*log(x)^2*log(5*log(2/x))*log(2/x) - 6*x^3*log(x + e^5)*log(x)^2*log(5*log(2/x))*lo
g(2/x) - 18*x^2*e^10*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x) - 12*x^2*e^5*log(x + e^5)*log(x)^2*log(5*l
og(2/x))*log(2/x) + 3*x^3*log(2)^2*log(5*log(2/x))^2*log(2/x) + 9*x^2*e^10*log(2)^2*log(5*log(2/x))^2*log(2/x)
+ 6*x^2*e^5*log(2)^2*log(5*log(2/x))^2*log(2/x) - 6*x^3*log(2)*log(x)*log(5*log(2/x))^2*log(2/x) - 18*x^2*e^1
0*log(2)*log(x)*log(5*log(2/x))^2*log(2/x) - 12*x^2*e^5*log(2)*log(x)*log(5*log(2/x))^2*log(2/x) + 3*x^3*log(x
)^2*log(5*log(2/x))^2*log(2/x) + 9*x^2*e^10*log(x)^2*log(5*log(2/x))^2*log(2/x) + 6*x^2*e^5*log(x)^2*log(5*log
(2/x))^2*log(2/x) + x^5*log(2)^2 + 3*x^4*e^5*log(2)^2 + 2*x^4*log(2)^2*log(x + e^5) + 6*x^3*e^5*log(2)^2*log(x
+ e^5) + x^3*log(2)^2*log(x + e^5)^2 + 3*x^2*e^5*log(2)^2*log(x + e^5)^2 - 2*x^5*log(2)*log(x) - 6*x^4*e^5*lo
g(2)*log(x) - 4*x^4*log(2)*log(x + e^5)*log(x) - 12*x^3*e^5*log(2)*log(x + e^5)*log(x) - 2*x^3*log(2)*log(x +
e^5)^2*log(x) - 6*x^2*e^5*log(2)*log(x + e^5)^2*log(x) + x^5*log(x)^2 + 3*x^4*e^5*log(x)^2 + 2*x^4*log(x + e^5
)*log(x)^2 + 6*x^3*e^5*log(x + e^5)*log(x)^2 + x^3*log(x + e^5)^2*log(x)^2 + 3*x^2*e^5*log(x + e^5)^2*log(x)^2
- 2*x^4*log(2)^2*log(5*log(2/x)) - 6*x^3*e^5*log(2)^2*log(5*log(2/x)) - 2*x^3*log(2)^2*log(x + e^5)*log(5*log
(2/x)) - 6*x^2*e^5*log(2)^2*log(x + e^5)*log(5*log(2/x)) + 4*x^4*log(2)*log(x)*log(5*log(2/x)) + 12*x^3*e^5*lo
g(2)*log(x)*log(5*log(2/x)) + 4*x^3*log(2)*log(x + e^5)*log(x)*log(5*log(2/x)) + 12*x^2*e^5*log(2)*log(x + e^5
)*log(x)*log(5*log(2/x)) - 2*x^4*log(x)^2*log(5*log(2/x)) - 6*x^3*e^5*log(x)^2*log(5*log(2/x)) - 2*x^3*log(x +
e^5)*log(x)^2*log(5*log(2/x)) - 6*x^2*e^5*log(x + e^5)*log(x)^2*log(5*log(2/x)) + x^3*log(2)^2*log(5*log(2/x)
)^2 + 3*x^2*e^5*log(2)^2*log(5*log(2/x))^2 - 2*x^3*log(2)*log(x)*log(5*log(2/x))^2 - 6*x^2*e^5*log(2)*log(x)*l
og(5*log(2/x))^2 + x^3*log(x)^2*log(5*log(2/x))^2 + 3*x^2*e^5*log(x)^2*log(5*log(2/x))^2 + 3*x^3*e^15*log(2)^2
*log(2/x) + 3*x^3*e^10*log(2)^2*log(2/x) + 6*x^2*e^15*log(2)^2*log(x + e^5)*log(2/x) + 6*x^2*e^10*log(2)^2*log
(x + e^5)*log(2/x) + 3*x*e^15*log(2)^2*log(x + e^5)^2*log(2/x) + 3*x*e^10*log(2)^2*log(x + e^5)^2*log(2/x) - 6
*x^3*e^15*log(2)*log(x)*log(2/x) - 6*x^3*e^10*log(2)*log(x)*log(2/x) - 12*x^2*e^15*log(2)*log(x + e^5)*log(x)*
log(2/x) - 12*x^2*e^10*log(2)*log(x + e^5)*log(x)*log(2/x) - 6*x*e^15*log(2)*log(x + e^5)^2*log(x)*log(2/x) -
6*x*e^10*log(2)*log(x + e^5)^2*log(x)*log(2/x) + 3*x^3*e^15*log(x)^2*log(2/x) + 3*x^3*e^10*log(x)^2*log(2/x) +
6*x^2*e^15*log(x + e^5)*log(x)^2*log(2/x) + 6*x^2*e^10*log(x + e^5)*log(x)^2*log(2/x) + 3*x*e^15*log(x + e^5)
^2*log(x)^2*log(2/x) + 3*x*e^10*log(x + e^5)^2*log(x)^2*log(2/x) - 6*x^2*e^15*log(2)^2*log(5*log(2/x))*log(2/x
) - 6*x^2*e^10*log(2)^2*log(5*log(2/x))*log(2/x) - 6*x*e^15*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x) - 6
*x*e^10*log(2)^2*log(x + e^5)*log(5*log(2/x))*log(2/x) + 12*x^2*e^15*log(2)*log(x)*log(5*log(2/x))*log(2/x) +
12*x^2*e^10*log(2)*log(x)*log(5*log(2/x))*log(2/x) + 12*x*e^15*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(
2/x) + 12*x*e^10*log(2)*log(x + e^5)*log(x)*log(5*log(2/x))*log(2/x) - 6*x^2*e^15*log(x)^2*log(5*log(2/x))*log
(2/x) - 6*x^2*e^10*log(x)^2*log(5*log(2/x))*log(2/x) - 6*x*e^15*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x)
- 6*x*e^10*log(x + e^5)*log(x)^2*log(5*log(2/x))*log(2/x) + 3*x*e^15*log(2)^2*log(5*log(2/x))^2*log(2/x) + 3*
x*e^10*log(2)^2*log(5*log(2/x))^2*log(2/x) - 6*x*e^15*log(2)*log(x)*log(5*log(2/x))^2*log(2/x) - 6*x*e^10*log(
2)*log(x)*log(5*log(2/x))^2*log(2/x) + 3*x*e^15*log(x)^2*log(5*log(2/x))^2*log(2/x) + 3*x*e^10*log(x)^2*log(5*
log(2/x))^2*log(2/x) + 3*x^3*e^10*log(2)^2 + 6*x^2*e^10*log(2)^2*log(x + e^5) + 3*x*e^10*log(2)^2*log(x + e^5)
^2 - 6*x^3*e^10*log(2)*log(x) - 12*x^2*e^10*log(2)*log(x + e^5)*log(x) - 6*x*e^10*log(2)*log(x + e^5)^2*log(x)
+ 3*x^3*e^10*log(x)^2 + 6*x^2*e^10*log(x + e^5)*log(x)^2 + 3*x*e^10*log(x + e^5)^2*log(x)^2 - 6*x^2*e^10*log(
2)^2*log(5*log(2/x)) - 6*x*e^10*log(2)^2*log(x + e^5)*log(5*log(2/x)) + 12*x^2*e^10*log(2)*log(x)*log(5*log(2/
x)) + 12*x*e^10*log(2)*log(x + e^5)*log(x)*log(5*log(2/x)) - 6*x^2*e^10*log(x)^2*log(5*log(2/x)) - 6*x*e^10*lo
g(x + e^5)*log(x)^2*log(5*log(2/x)) + 3*x*e^10*log(2)^2*log(5*log(2/x))^2 - 6*x*e^10*log(2)*log(x)*log(5*log(2
/x))^2 + 3*x*e^10*log(x)^2*log(5*log(2/x))^2 + x^2*e^15*log(2)^2 + 2*x*e^15*log(2)^2*log(x + e^5) + e^15*log(2
)^2*log(x + e^5)^2 - 2*x^2*e^15*log(2)*log(x) - 4*x*e^15*log(2)*log(x + e^5)*log(x) - 2*e^15*log(2)*log(x + e^
5)^2*log(x) + x^2*e^15*log(x)^2 + 2*x*e^15*log(x + e^5)*log(x)^2 + e^15*log(x + e^5)^2*log(x)^2 - 2*x*e^15*log
(2)^2*log(5*log(2/x)) - 2*e^15*log(2)^2*log(x + e^5)*log(5*log(2/x)) + 4*x*e^15*log(2)*log(x)*log(5*log(2/x))
+ 4*e^15*log(2)*log(x + e^5)*log(x)*log(5*log(2/x)) - 2*x*e^15*log(x)^2*log(5*log(2/x)) - 2*e^15*log(x + e^5)*
log(x)^2*log(5*log(2/x)) + e^15*log(2)^2*log(5*log(2/x))^2 - 2*e^15*log(2)*log(x)*log(5*log(2/x))^2 + e^15*log
(x)^2*log(5*log(2/x))^2)

Mupad [B] (verification not implemented)

Time = 14.06 (sec) , antiderivative size = 27, normalized size of antiderivative = 0.96 \[ \int \frac {-6 e^5-6 x+\left (-6 x-6 x^2-2 x^6+e^5 \left (-6 x-2 x^5\right )\right ) \log \left (\frac {2}{x}\right )+\left (6 e^5 x^4+6 x^5\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-6 e^5 x^3-6 x^4\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (2 e^5 x^2+2 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )}{\left (-e^5 x^4-x^5\right ) \log \left (\frac {2}{x}\right )+\left (3 e^5 x^3+3 x^4\right ) \log \left (\frac {2}{x}\right ) \log \left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (-3 e^5 x^2-3 x^3\right ) \log \left (\frac {2}{x}\right ) \log ^2\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )+\left (e^5 x+x^2\right ) \log \left (\frac {2}{x}\right ) \log ^3\left (\frac {5 \log \left (\frac {2}{x}\right )}{e^5+x}\right )} \, dx=x^2-\frac {3}{{\left (x-\ln \left (\frac {5\,\ln \left (\frac {2}{x}\right )}{x+{\mathrm {e}}^5}\right )\right )}^2} \]

[In]

int((6*x + 6*exp(5) + log(2/x)*(6*x + exp(5)*(6*x + 2*x^5) + 6*x^2 + 2*x^6) - log((5*log(2/x))/(x + exp(5)))*l
og(2/x)*(6*x^4*exp(5) + 6*x^5) - log((5*log(2/x))/(x + exp(5)))^3*log(2/x)*(2*x^2*exp(5) + 2*x^3) + log((5*log
(2/x))/(x + exp(5)))^2*log(2/x)*(6*x^3*exp(5) + 6*x^4))/(log(2/x)*(x^4*exp(5) + x^5) - log((5*log(2/x))/(x + e
xp(5)))*log(2/x)*(3*x^3*exp(5) + 3*x^4) + log((5*log(2/x))/(x + exp(5)))^2*log(2/x)*(3*x^2*exp(5) + 3*x^3) - l
og((5*log(2/x))/(x + exp(5)))^3*log(2/x)*(x*exp(5) + x^2)),x)

[Out]

x^2 - 3/(x - log((5*log(2/x))/(x + exp(5))))^2