3.9.81 \(\int \frac {e^{10} (8+6 x^2)+e^5 (-8 x^3-6 x^5)+(e^{10} (-4+6 x)+e^5 (4 x^3-6 x^4)) \log (\frac {4 x^2}{3})+(-2 e^{10} x+e^5 (16 x^2+14 x^4)+(-2 e^{10}+e^5 (-8 x^2+14 x^3)) \log (\frac {4 x^2}{3})) \log (\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(e^5 (-8 x-10 x^3)+e^5 (4 x-10 x^2) \log (\frac {4 x^2}{3})) \log ^2(\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(2 e^5 x^2+2 e^5 x \log (\frac {4 x^2}{3})) \log ^3(\frac {2 x}{x+\log (\frac {4 x^2}{3})})}{-x^9-x^8 \log (\frac {4 x^2}{3})+(5 x^8+5 x^7 \log (\frac {4 x^2}{3})) \log (\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(-10 x^7-10 x^6 \log (\frac {4 x^2}{3})) \log ^2(\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(10 x^6+10 x^5 \log (\frac {4 x^2}{3})) \log ^3(\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(-5 x^5-5 x^4 \log (\frac {4 x^2}{3})) \log ^4(\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(x^4+x^3 \log (\frac {4 x^2}{3})) \log ^5(\frac {2 x}{x+\log (\frac {4 x^2}{3})})} \, dx\)

Optimal. Leaf size=36 \[ \frac {\left (-x+\frac {e^5}{\left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^2}\right )^2}{x^2} \]

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Rubi [F]  time = 7.75, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} \int \frac {e^{10} \left (8+6 x^2\right )+e^5 \left (-8 x^3-6 x^5\right )+\left (e^{10} (-4+6 x)+e^5 \left (4 x^3-6 x^4\right )\right ) \log \left (\frac {4 x^2}{3}\right )+\left (-2 e^{10} x+e^5 \left (16 x^2+14 x^4\right )+\left (-2 e^{10}+e^5 \left (-8 x^2+14 x^3\right )\right ) \log \left (\frac {4 x^2}{3}\right )\right ) \log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )+\left (e^5 \left (-8 x-10 x^3\right )+e^5 \left (4 x-10 x^2\right ) \log \left (\frac {4 x^2}{3}\right )\right ) \log ^2\left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )+\left (2 e^5 x^2+2 e^5 x \log \left (\frac {4 x^2}{3}\right )\right ) \log ^3\left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )}{-x^9-x^8 \log \left (\frac {4 x^2}{3}\right )+\left (5 x^8+5 x^7 \log \left (\frac {4 x^2}{3}\right )\right ) \log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )+\left (-10 x^7-10 x^6 \log \left (\frac {4 x^2}{3}\right )\right ) \log ^2\left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )+\left (10 x^6+10 x^5 \log \left (\frac {4 x^2}{3}\right )\right ) \log ^3\left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )+\left (-5 x^5-5 x^4 \log \left (\frac {4 x^2}{3}\right )\right ) \log ^4\left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )+\left (x^4+x^3 \log \left (\frac {4 x^2}{3}\right )\right ) \log ^5\left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )} \, dx \end {gather*}

Verification is not applicable to the result.

[In]

Int[(E^10*(8 + 6*x^2) + E^5*(-8*x^3 - 6*x^5) + (E^10*(-4 + 6*x) + E^5*(4*x^3 - 6*x^4))*Log[(4*x^2)/3] + (-2*E^
10*x + E^5*(16*x^2 + 14*x^4) + (-2*E^10 + E^5*(-8*x^2 + 14*x^3))*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3]
)] + (E^5*(-8*x - 10*x^3) + E^5*(4*x - 10*x^2)*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^2 + (2*E^5*x^2
+ 2*E^5*x*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^3)/(-x^9 - x^8*Log[(4*x^2)/3] + (5*x^8 + 5*x^7*Log[(
4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])] + (-10*x^7 - 10*x^6*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]
^2 + (10*x^6 + 10*x^5*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^3 + (-5*x^5 - 5*x^4*Log[(4*x^2)/3])*Log[
(2*x)/(x + Log[(4*x^2)/3])]^4 + (x^4 + x^3*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^5),x]

[Out]

-8*E^10*Defer[Int][1/(x^3*(x + Log[(4*x^2)/3])*(x - Log[(2*x)/(x + Log[(4*x^2)/3])])^5), x] - 4*E^10*Defer[Int
][1/(x*(x + Log[(4*x^2)/3])*(x - Log[(2*x)/(x + Log[(4*x^2)/3])])^5), x] + 4*E^10*Defer[Int][Log[(4*x^2)/3]/(x
^3*(x + Log[(4*x^2)/3])*(x - Log[(2*x)/(x + Log[(4*x^2)/3])])^5), x] - 4*E^10*Defer[Int][Log[(4*x^2)/3]/(x^2*(
x + Log[(4*x^2)/3])*(x - Log[(2*x)/(x + Log[(4*x^2)/3])])^5), x] - 2*E^10*Defer[Int][1/(x^3*(x - Log[(2*x)/(x
+ Log[(4*x^2)/3])])^4), x] + 4*E^5*Defer[Int][1/((x + Log[(4*x^2)/3])*(x - Log[(2*x)/(x + Log[(4*x^2)/3])])^3)
, x] + 8*E^5*Defer[Int][1/(x^2*(x + Log[(4*x^2)/3])*(x - Log[(2*x)/(x + Log[(4*x^2)/3])])^3), x] - 4*E^5*Defer
[Int][Log[(4*x^2)/3]/(x^2*(x + Log[(4*x^2)/3])*(x - Log[(2*x)/(x + Log[(4*x^2)/3])])^3), x] + 4*E^5*Defer[Int]
[Log[(4*x^2)/3]/(x*(x + Log[(4*x^2)/3])*(x - Log[(2*x)/(x + Log[(4*x^2)/3])])^3), x] + 2*E^5*Defer[Int][1/(x^2
*(x - Log[(2*x)/(x + Log[(4*x^2)/3])])^2), x]

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=\int \frac {2 e^5 \left (4+3 x^2+\log \left (\frac {4 x^2}{3}\right ) \left (-2+3 x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )-x \log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right ) \left (-e^5+x^3-2 x^2 \log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )+x \log ^2\left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )}{x^3 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5} \, dx\\ &=\left (2 e^5\right ) \int \frac {\left (4+3 x^2+\log \left (\frac {4 x^2}{3}\right ) \left (-2+3 x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )-x \log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right ) \left (-e^5+x^3-2 x^2 \log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )+x \log ^2\left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )}{x^3 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5} \, dx\\ &=\left (2 e^5\right ) \int \left (-\frac {2 e^5 \left (2+x^2-\log \left (\frac {4 x^2}{3}\right )+x \log \left (\frac {4 x^2}{3}\right )\right )}{x^3 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5}-\frac {e^5}{x^3 \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^4}+\frac {2 \left (2+x^2-\log \left (\frac {4 x^2}{3}\right )+x \log \left (\frac {4 x^2}{3}\right )\right )}{x^2 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^3}+\frac {1}{x^2 \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^2}\right ) \, dx\\ &=\left (2 e^5\right ) \int \frac {1}{x^2 \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^2} \, dx+\left (4 e^5\right ) \int \frac {2+x^2-\log \left (\frac {4 x^2}{3}\right )+x \log \left (\frac {4 x^2}{3}\right )}{x^2 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^3} \, dx-\left (2 e^{10}\right ) \int \frac {1}{x^3 \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^4} \, dx-\left (4 e^{10}\right ) \int \frac {2+x^2-\log \left (\frac {4 x^2}{3}\right )+x \log \left (\frac {4 x^2}{3}\right )}{x^3 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5} \, dx\\ &=\left (2 e^5\right ) \int \frac {1}{x^2 \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^2} \, dx+\left (4 e^5\right ) \int \frac {2+x^2+(-1+x) \log \left (\frac {4 x^2}{3}\right )}{x^2 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^3} \, dx-\left (2 e^{10}\right ) \int \frac {1}{x^3 \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^4} \, dx-\left (4 e^{10}\right ) \int \frac {2+x^2+(-1+x) \log \left (\frac {4 x^2}{3}\right )}{x^3 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5} \, dx\\ &=\left (2 e^5\right ) \int \frac {1}{x^2 \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^2} \, dx+\left (4 e^5\right ) \int \left (\frac {1}{\left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^3}+\frac {2}{x^2 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^3}-\frac {\log \left (\frac {4 x^2}{3}\right )}{x^2 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^3}+\frac {\log \left (\frac {4 x^2}{3}\right )}{x \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^3}\right ) \, dx-\left (2 e^{10}\right ) \int \frac {1}{x^3 \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^4} \, dx-\left (4 e^{10}\right ) \int \left (\frac {2}{x^3 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5}+\frac {1}{x \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5}-\frac {\log \left (\frac {4 x^2}{3}\right )}{x^3 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5}+\frac {\log \left (\frac {4 x^2}{3}\right )}{x^2 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5}\right ) \, dx\\ &=\left (2 e^5\right ) \int \frac {1}{x^2 \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^2} \, dx+\left (4 e^5\right ) \int \frac {1}{\left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^3} \, dx-\left (4 e^5\right ) \int \frac {\log \left (\frac {4 x^2}{3}\right )}{x^2 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^3} \, dx+\left (4 e^5\right ) \int \frac {\log \left (\frac {4 x^2}{3}\right )}{x \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^3} \, dx+\left (8 e^5\right ) \int \frac {1}{x^2 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^3} \, dx-\left (2 e^{10}\right ) \int \frac {1}{x^3 \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^4} \, dx-\left (4 e^{10}\right ) \int \frac {1}{x \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5} \, dx+\left (4 e^{10}\right ) \int \frac {\log \left (\frac {4 x^2}{3}\right )}{x^3 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5} \, dx-\left (4 e^{10}\right ) \int \frac {\log \left (\frac {4 x^2}{3}\right )}{x^2 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5} \, dx-\left (8 e^{10}\right ) \int \frac {1}{x^3 \left (x+\log \left (\frac {4 x^2}{3}\right )\right ) \left (x-\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^5} \, dx\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.17, size = 64, normalized size = 1.78 \begin {gather*} -2 e^5 \left (-\frac {e^5}{2 x^2 \left (-x+\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^4}+\frac {1}{x \left (-x+\log \left (\frac {2 x}{x+\log \left (\frac {4 x^2}{3}\right )}\right )\right )^2}\right ) \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[(E^10*(8 + 6*x^2) + E^5*(-8*x^3 - 6*x^5) + (E^10*(-4 + 6*x) + E^5*(4*x^3 - 6*x^4))*Log[(4*x^2)/3] +
(-2*E^10*x + E^5*(16*x^2 + 14*x^4) + (-2*E^10 + E^5*(-8*x^2 + 14*x^3))*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x
^2)/3])] + (E^5*(-8*x - 10*x^3) + E^5*(4*x - 10*x^2)*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^2 + (2*E^
5*x^2 + 2*E^5*x*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^3)/(-x^9 - x^8*Log[(4*x^2)/3] + (5*x^8 + 5*x^7
*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])] + (-10*x^7 - 10*x^6*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2
)/3])]^2 + (10*x^6 + 10*x^5*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^3 + (-5*x^5 - 5*x^4*Log[(4*x^2)/3]
)*Log[(2*x)/(x + Log[(4*x^2)/3])]^4 + (x^4 + x^3*Log[(4*x^2)/3])*Log[(2*x)/(x + Log[(4*x^2)/3])]^5),x]

[Out]

-2*E^5*(-1/2*E^5/(x^2*(-x + Log[(2*x)/(x + Log[(4*x^2)/3])])^4) + 1/(x*(-x + Log[(2*x)/(x + Log[(4*x^2)/3])])^
2))

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fricas [B]  time = 0.58, size = 143, normalized size = 3.97 \begin {gather*} -\frac {2 \, x^{3} e^{5} - 4 \, x^{2} e^{5} \log \left (\frac {2 \, x}{x + \log \left (\frac {4}{3} \, x^{2}\right )}\right ) + 2 \, x e^{5} \log \left (\frac {2 \, x}{x + \log \left (\frac {4}{3} \, x^{2}\right )}\right )^{2} - e^{10}}{x^{6} - 4 \, x^{5} \log \left (\frac {2 \, x}{x + \log \left (\frac {4}{3} \, x^{2}\right )}\right ) + 6 \, x^{4} \log \left (\frac {2 \, x}{x + \log \left (\frac {4}{3} \, x^{2}\right )}\right )^{2} - 4 \, x^{3} \log \left (\frac {2 \, x}{x + \log \left (\frac {4}{3} \, x^{2}\right )}\right )^{3} + x^{2} \log \left (\frac {2 \, x}{x + \log \left (\frac {4}{3} \, x^{2}\right )}\right )^{4}} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((2*x*exp(5)*log(4/3*x^2)+2*x^2*exp(5))*log(2*x/(log(4/3*x^2)+x))^3+((-10*x^2+4*x)*exp(5)*log(4/3*x^
2)+(-10*x^3-8*x)*exp(5))*log(2*x/(log(4/3*x^2)+x))^2+((-2*exp(5)^2+(14*x^3-8*x^2)*exp(5))*log(4/3*x^2)-2*x*exp
(5)^2+(14*x^4+16*x^2)*exp(5))*log(2*x/(log(4/3*x^2)+x))+((6*x-4)*exp(5)^2+(-6*x^4+4*x^3)*exp(5))*log(4/3*x^2)+
(6*x^2+8)*exp(5)^2+(-6*x^5-8*x^3)*exp(5))/((x^3*log(4/3*x^2)+x^4)*log(2*x/(log(4/3*x^2)+x))^5+(-5*x^4*log(4/3*
x^2)-5*x^5)*log(2*x/(log(4/3*x^2)+x))^4+(10*x^5*log(4/3*x^2)+10*x^6)*log(2*x/(log(4/3*x^2)+x))^3+(-10*x^6*log(
4/3*x^2)-10*x^7)*log(2*x/(log(4/3*x^2)+x))^2+(5*x^7*log(4/3*x^2)+5*x^8)*log(2*x/(log(4/3*x^2)+x))-x^8*log(4/3*
x^2)-x^9),x, algorithm="fricas")

[Out]

-(2*x^3*e^5 - 4*x^2*e^5*log(2*x/(x + log(4/3*x^2))) + 2*x*e^5*log(2*x/(x + log(4/3*x^2)))^2 - e^10)/(x^6 - 4*x
^5*log(2*x/(x + log(4/3*x^2))) + 6*x^4*log(2*x/(x + log(4/3*x^2)))^2 - 4*x^3*log(2*x/(x + log(4/3*x^2)))^3 + x
^2*log(2*x/(x + log(4/3*x^2)))^4)

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giac [F(-1)]  time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Timed out} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((2*x*exp(5)*log(4/3*x^2)+2*x^2*exp(5))*log(2*x/(log(4/3*x^2)+x))^3+((-10*x^2+4*x)*exp(5)*log(4/3*x^
2)+(-10*x^3-8*x)*exp(5))*log(2*x/(log(4/3*x^2)+x))^2+((-2*exp(5)^2+(14*x^3-8*x^2)*exp(5))*log(4/3*x^2)-2*x*exp
(5)^2+(14*x^4+16*x^2)*exp(5))*log(2*x/(log(4/3*x^2)+x))+((6*x-4)*exp(5)^2+(-6*x^4+4*x^3)*exp(5))*log(4/3*x^2)+
(6*x^2+8)*exp(5)^2+(-6*x^5-8*x^3)*exp(5))/((x^3*log(4/3*x^2)+x^4)*log(2*x/(log(4/3*x^2)+x))^5+(-5*x^4*log(4/3*
x^2)-5*x^5)*log(2*x/(log(4/3*x^2)+x))^4+(10*x^5*log(4/3*x^2)+10*x^6)*log(2*x/(log(4/3*x^2)+x))^3+(-10*x^6*log(
4/3*x^2)-10*x^7)*log(2*x/(log(4/3*x^2)+x))^2+(5*x^7*log(4/3*x^2)+5*x^8)*log(2*x/(log(4/3*x^2)+x))-x^8*log(4/3*
x^2)-x^9),x, algorithm="giac")

[Out]

Timed out

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maple [F]  time = 0.21, size = 0, normalized size = 0.00 \[\int \frac {\left (2 x \,{\mathrm e}^{5} \ln \left (\frac {4 x^{2}}{3}\right )+2 x^{2} {\mathrm e}^{5}\right ) \ln \left (\frac {2 x}{\ln \left (\frac {4 x^{2}}{3}\right )+x}\right )^{3}+\left (\left (-10 x^{2}+4 x \right ) {\mathrm e}^{5} \ln \left (\frac {4 x^{2}}{3}\right )+\left (-10 x^{3}-8 x \right ) {\mathrm e}^{5}\right ) \ln \left (\frac {2 x}{\ln \left (\frac {4 x^{2}}{3}\right )+x}\right )^{2}+\left (\left (-2 \,{\mathrm e}^{10}+\left (14 x^{3}-8 x^{2}\right ) {\mathrm e}^{5}\right ) \ln \left (\frac {4 x^{2}}{3}\right )-2 x \,{\mathrm e}^{10}+\left (14 x^{4}+16 x^{2}\right ) {\mathrm e}^{5}\right ) \ln \left (\frac {2 x}{\ln \left (\frac {4 x^{2}}{3}\right )+x}\right )+\left (\left (6 x -4\right ) {\mathrm e}^{10}+\left (-6 x^{4}+4 x^{3}\right ) {\mathrm e}^{5}\right ) \ln \left (\frac {4 x^{2}}{3}\right )+\left (6 x^{2}+8\right ) {\mathrm e}^{10}+\left (-6 x^{5}-8 x^{3}\right ) {\mathrm e}^{5}}{\left (x^{3} \ln \left (\frac {4 x^{2}}{3}\right )+x^{4}\right ) \ln \left (\frac {2 x}{\ln \left (\frac {4 x^{2}}{3}\right )+x}\right )^{5}+\left (-5 x^{4} \ln \left (\frac {4 x^{2}}{3}\right )-5 x^{5}\right ) \ln \left (\frac {2 x}{\ln \left (\frac {4 x^{2}}{3}\right )+x}\right )^{4}+\left (10 x^{5} \ln \left (\frac {4 x^{2}}{3}\right )+10 x^{6}\right ) \ln \left (\frac {2 x}{\ln \left (\frac {4 x^{2}}{3}\right )+x}\right )^{3}+\left (-10 x^{6} \ln \left (\frac {4 x^{2}}{3}\right )-10 x^{7}\right ) \ln \left (\frac {2 x}{\ln \left (\frac {4 x^{2}}{3}\right )+x}\right )^{2}+\left (5 x^{7} \ln \left (\frac {4 x^{2}}{3}\right )+5 x^{8}\right ) \ln \left (\frac {2 x}{\ln \left (\frac {4 x^{2}}{3}\right )+x}\right )-x^{8} \ln \left (\frac {4 x^{2}}{3}\right )-x^{9}}\, dx\]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(((2*x*exp(5)*ln(4/3*x^2)+2*x^2*exp(5))*ln(2*x/(ln(4/3*x^2)+x))^3+((-10*x^2+4*x)*exp(5)*ln(4/3*x^2)+(-10*x^
3-8*x)*exp(5))*ln(2*x/(ln(4/3*x^2)+x))^2+((-2*exp(5)^2+(14*x^3-8*x^2)*exp(5))*ln(4/3*x^2)-2*x*exp(5)^2+(14*x^4
+16*x^2)*exp(5))*ln(2*x/(ln(4/3*x^2)+x))+((6*x-4)*exp(5)^2+(-6*x^4+4*x^3)*exp(5))*ln(4/3*x^2)+(6*x^2+8)*exp(5)
^2+(-6*x^5-8*x^3)*exp(5))/((x^3*ln(4/3*x^2)+x^4)*ln(2*x/(ln(4/3*x^2)+x))^5+(-5*x^4*ln(4/3*x^2)-5*x^5)*ln(2*x/(
ln(4/3*x^2)+x))^4+(10*x^5*ln(4/3*x^2)+10*x^6)*ln(2*x/(ln(4/3*x^2)+x))^3+(-10*x^6*ln(4/3*x^2)-10*x^7)*ln(2*x/(l
n(4/3*x^2)+x))^2+(5*x^7*ln(4/3*x^2)+5*x^8)*ln(2*x/(ln(4/3*x^2)+x))-x^8*ln(4/3*x^2)-x^9),x)

[Out]

int(((2*x*exp(5)*ln(4/3*x^2)+2*x^2*exp(5))*ln(2*x/(ln(4/3*x^2)+x))^3+((-10*x^2+4*x)*exp(5)*ln(4/3*x^2)+(-10*x^
3-8*x)*exp(5))*ln(2*x/(ln(4/3*x^2)+x))^2+((-2*exp(5)^2+(14*x^3-8*x^2)*exp(5))*ln(4/3*x^2)-2*x*exp(5)^2+(14*x^4
+16*x^2)*exp(5))*ln(2*x/(ln(4/3*x^2)+x))+((6*x-4)*exp(5)^2+(-6*x^4+4*x^3)*exp(5))*ln(4/3*x^2)+(6*x^2+8)*exp(5)
^2+(-6*x^5-8*x^3)*exp(5))/((x^3*ln(4/3*x^2)+x^4)*ln(2*x/(ln(4/3*x^2)+x))^5+(-5*x^4*ln(4/3*x^2)-5*x^5)*ln(2*x/(
ln(4/3*x^2)+x))^4+(10*x^5*ln(4/3*x^2)+10*x^6)*ln(2*x/(ln(4/3*x^2)+x))^3+(-10*x^6*ln(4/3*x^2)-10*x^7)*ln(2*x/(l
n(4/3*x^2)+x))^2+(5*x^7*ln(4/3*x^2)+5*x^8)*ln(2*x/(ln(4/3*x^2)+x))-x^8*ln(4/3*x^2)-x^9),x)

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maxima [B]  time = 29.91, size = 455, normalized size = 12.64 \begin {gather*} -\frac {2 \, x^{3} e^{5} - 4 \, x^{2} e^{5} \log \relax (2) + 2 \, x e^{5} \log \relax (2)^{2} + 2 \, x e^{5} \log \left (x - \log \relax (3) + 2 \, \log \relax (2) + 2 \, \log \relax (x)\right )^{2} + 2 \, x e^{5} \log \relax (x)^{2} + 4 \, {\left (x^{2} e^{5} - x e^{5} \log \relax (2) - x e^{5} \log \relax (x)\right )} \log \left (x - \log \relax (3) + 2 \, \log \relax (2) + 2 \, \log \relax (x)\right ) - 4 \, {\left (x^{2} e^{5} - x e^{5} \log \relax (2)\right )} \log \relax (x) - e^{10}}{x^{6} - 4 \, x^{5} \log \relax (2) + 6 \, x^{4} \log \relax (2)^{2} - 4 \, x^{3} \log \relax (2)^{3} + x^{2} \log \relax (2)^{4} + x^{2} \log \left (x - \log \relax (3) + 2 \, \log \relax (2) + 2 \, \log \relax (x)\right )^{4} + x^{2} \log \relax (x)^{4} + 4 \, {\left (x^{3} - x^{2} \log \relax (2) - x^{2} \log \relax (x)\right )} \log \left (x - \log \relax (3) + 2 \, \log \relax (2) + 2 \, \log \relax (x)\right )^{3} - 4 \, {\left (x^{3} - x^{2} \log \relax (2)\right )} \log \relax (x)^{3} + 6 \, {\left (x^{4} - 2 \, x^{3} \log \relax (2) + x^{2} \log \relax (2)^{2} + x^{2} \log \relax (x)^{2} - 2 \, {\left (x^{3} - x^{2} \log \relax (2)\right )} \log \relax (x)\right )} \log \left (x - \log \relax (3) + 2 \, \log \relax (2) + 2 \, \log \relax (x)\right )^{2} + 6 \, {\left (x^{4} - 2 \, x^{3} \log \relax (2) + x^{2} \log \relax (2)^{2}\right )} \log \relax (x)^{2} + 4 \, {\left (x^{5} - 3 \, x^{4} \log \relax (2) + 3 \, x^{3} \log \relax (2)^{2} - x^{2} \log \relax (2)^{3} - x^{2} \log \relax (x)^{3} + 3 \, {\left (x^{3} - x^{2} \log \relax (2)\right )} \log \relax (x)^{2} - 3 \, {\left (x^{4} - 2 \, x^{3} \log \relax (2) + x^{2} \log \relax (2)^{2}\right )} \log \relax (x)\right )} \log \left (x - \log \relax (3) + 2 \, \log \relax (2) + 2 \, \log \relax (x)\right ) - 4 \, {\left (x^{5} - 3 \, x^{4} \log \relax (2) + 3 \, x^{3} \log \relax (2)^{2} - x^{2} \log \relax (2)^{3}\right )} \log \relax (x)} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((2*x*exp(5)*log(4/3*x^2)+2*x^2*exp(5))*log(2*x/(log(4/3*x^2)+x))^3+((-10*x^2+4*x)*exp(5)*log(4/3*x^
2)+(-10*x^3-8*x)*exp(5))*log(2*x/(log(4/3*x^2)+x))^2+((-2*exp(5)^2+(14*x^3-8*x^2)*exp(5))*log(4/3*x^2)-2*x*exp
(5)^2+(14*x^4+16*x^2)*exp(5))*log(2*x/(log(4/3*x^2)+x))+((6*x-4)*exp(5)^2+(-6*x^4+4*x^3)*exp(5))*log(4/3*x^2)+
(6*x^2+8)*exp(5)^2+(-6*x^5-8*x^3)*exp(5))/((x^3*log(4/3*x^2)+x^4)*log(2*x/(log(4/3*x^2)+x))^5+(-5*x^4*log(4/3*
x^2)-5*x^5)*log(2*x/(log(4/3*x^2)+x))^4+(10*x^5*log(4/3*x^2)+10*x^6)*log(2*x/(log(4/3*x^2)+x))^3+(-10*x^6*log(
4/3*x^2)-10*x^7)*log(2*x/(log(4/3*x^2)+x))^2+(5*x^7*log(4/3*x^2)+5*x^8)*log(2*x/(log(4/3*x^2)+x))-x^8*log(4/3*
x^2)-x^9),x, algorithm="maxima")

[Out]

-(2*x^3*e^5 - 4*x^2*e^5*log(2) + 2*x*e^5*log(2)^2 + 2*x*e^5*log(x - log(3) + 2*log(2) + 2*log(x))^2 + 2*x*e^5*
log(x)^2 + 4*(x^2*e^5 - x*e^5*log(2) - x*e^5*log(x))*log(x - log(3) + 2*log(2) + 2*log(x)) - 4*(x^2*e^5 - x*e^
5*log(2))*log(x) - e^10)/(x^6 - 4*x^5*log(2) + 6*x^4*log(2)^2 - 4*x^3*log(2)^3 + x^2*log(2)^4 + x^2*log(x - lo
g(3) + 2*log(2) + 2*log(x))^4 + x^2*log(x)^4 + 4*(x^3 - x^2*log(2) - x^2*log(x))*log(x - log(3) + 2*log(2) + 2
*log(x))^3 - 4*(x^3 - x^2*log(2))*log(x)^3 + 6*(x^4 - 2*x^3*log(2) + x^2*log(2)^2 + x^2*log(x)^2 - 2*(x^3 - x^
2*log(2))*log(x))*log(x - log(3) + 2*log(2) + 2*log(x))^2 + 6*(x^4 - 2*x^3*log(2) + x^2*log(2)^2)*log(x)^2 + 4
*(x^5 - 3*x^4*log(2) + 3*x^3*log(2)^2 - x^2*log(2)^3 - x^2*log(x)^3 + 3*(x^3 - x^2*log(2))*log(x)^2 - 3*(x^4 -
2*x^3*log(2) + x^2*log(2)^2)*log(x))*log(x - log(3) + 2*log(2) + 2*log(x)) - 4*(x^5 - 3*x^4*log(2) + 3*x^3*lo
g(2)^2 - x^2*log(2)^3)*log(x))

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mupad [B]  time = 52.07, size = 29280, normalized size = 813.33 result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

int((log((2*x)/(x + log((4*x^2)/3)))^2*(exp(5)*(8*x + 10*x^3) - exp(5)*log((4*x^2)/3)*(4*x - 10*x^2)) - exp(10
)*(6*x^2 + 8) + log((2*x)/(x + log((4*x^2)/3)))*(2*x*exp(10) - exp(5)*(16*x^2 + 14*x^4) + log((4*x^2)/3)*(2*ex
p(10) + exp(5)*(8*x^2 - 14*x^3))) + exp(5)*(8*x^3 + 6*x^5) - log((2*x)/(x + log((4*x^2)/3)))^3*(2*x^2*exp(5) +
2*x*exp(5)*log((4*x^2)/3)) - log((4*x^2)/3)*(exp(5)*(4*x^3 - 6*x^4) + exp(10)*(6*x - 4)))/(log((2*x)/(x + log
((4*x^2)/3)))^4*(5*x^5 + 5*x^4*log((4*x^2)/3)) - log((2*x)/(x + log((4*x^2)/3)))^3*(10*x^6 + 10*x^5*log((4*x^2
)/3)) + log((2*x)/(x + log((4*x^2)/3)))^2*(10*x^7 + 10*x^6*log((4*x^2)/3)) + x^9 + x^8*log((4*x^2)/3) - log((2
*x)/(x + log((4*x^2)/3)))*(5*x^8 + 5*x^7*log((4*x^2)/3)) - log((2*x)/(x + log((4*x^2)/3)))^5*(x^4 + x^3*log((4
*x^2)/3))),x)

[Out]

(8*exp(10) + x^2*(64*exp(5) + 78*exp(10)) - x^3*(121*exp(5) + 60*exp(10)) + 78*x^4*exp(5) + 6*x^5*exp(5) - x*(
12*exp(5) + 41*exp(10)))/(12*x^2 - 84*x^3 + 252*x^4 - 420*x^5 + 420*x^6 - 252*x^7 + 84*x^8 - 12*x^9) - ((exp(5
)*(24*x^2*log((4*x^2)/3)^2 - 4*x^2*log((4*x^2)/3)^3 - 52*x^3*log((4*x^2)/3)^2 + 13*x^3*log((4*x^2)/3)^3 + 39*x
^4*log((4*x^2)/3)^2 - 13*x^4*log((4*x^2)/3)^3 - 27*x^5*log((4*x^2)/3)^2 + 3*x^5*log((4*x^2)/3)^3 + 9*x^6*log((
4*x^2)/3)^2 + 12*x*exp(5) + 12*exp(5)*log((4*x^2)/3) - 4*x^2*exp(5) + 12*x^3*exp(5) + 6*x^5*exp(5) - 12*exp(5)
*log((4*x^2)/3)^2 + 3*exp(5)*log((4*x^2)/3)^3 + 32*x^2 + 52*x^4 + 4*x^5 + 30*x^6 + 3*x^8 - 48*x^2*log((4*x^2)/
3) + 52*x^3*log((4*x^2)/3) - 48*x^4*log((4*x^2)/3) + 56*x^5*log((4*x^2)/3) - 14*x^6*log((4*x^2)/3) + 9*x^7*log
((4*x^2)/3) + 19*x*exp(5)*log((4*x^2)/3)^2 + 28*x^2*exp(5)*log((4*x^2)/3) - 8*x*exp(5)*log((4*x^2)/3)^3 - 7*x^
3*exp(5)*log((4*x^2)/3) + 18*x^4*exp(5)*log((4*x^2)/3) - 15*x^2*exp(5)*log((4*x^2)/3)^2 + 6*x^2*exp(5)*log((4*
x^2)/3)^3 + 18*x^3*exp(5)*log((4*x^2)/3)^2 - 16*x*exp(5)*log((4*x^2)/3)))/(6*x^2*(x*log((4*x^2)/3) - log((4*x^
2)/3) + x^2 + 2)^3) - (log((2*x)/(x + log((4*x^2)/3)))*exp(5)*(32*x - 56*x^2*log((4*x^2)/3)^2 + 14*x^2*log((4*
x^2)/3)^3 + 40*x^3*log((4*x^2)/3)^2 - 13*x^3*log((4*x^2)/3)^3 - 29*x^4*log((4*x^2)/3)^2 - 4*x*exp(5) - 4*exp(5
)*log((4*x^2)/3) - 48*x*log((4*x^2)/3) + 3*x^4*exp(5) + 4*exp(5)*log((4*x^2)/3)^2 - 2*exp(5)*log((4*x^2)/3)^3
+ 56*x^3 + 12*x^4 + 38*x^5 + 24*x*log((4*x^2)/3)^2 + 56*x^2*log((4*x^2)/3) - 4*x*log((4*x^2)/3)^3 - 44*x^3*log
((4*x^2)/3) + 64*x^4*log((4*x^2)/3) - 16*x^5*log((4*x^2)/3) - 3*x*exp(5)*log((4*x^2)/3)^2 - x^2*exp(5)*log((4*
x^2)/3) + 3*x*exp(5)*log((4*x^2)/3)^3 + 9*x^3*exp(5)*log((4*x^2)/3) + 9*x^2*exp(5)*log((4*x^2)/3)^2 + 4*x*exp(
5)*log((4*x^2)/3)))/(6*x^2*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)^3) + (log((2*x)/(x + log((4*x^2)/3)))
^3*(x + log((4*x^2)/3))*(2*exp(5)*log((4*x^2)/3) - 2*x*exp(5) - 4*exp(5) + 2*x^3*exp(5) - exp(5)*log((4*x^2)/3
)^2 + 2*x*exp(5)*log((4*x^2)/3)^2 + 4*x^2*exp(5)*log((4*x^2)/3)))/(6*x*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^
2 + 2)^3) - (log((2*x)/(x + log((4*x^2)/3)))^2*exp(5)*(x + log((4*x^2)/3))*(4*log((4*x^2)/3) - 12*x - log((4*x
^2)/3)^2 + 5*x^2*log((4*x^2)/3)^2 + 2*x*log((4*x^2)/3) - 10*x^2 + 5*x^4 - x*log((4*x^2)/3)^2 + 2*x^2*log((4*x^
2)/3) + 10*x^3*log((4*x^2)/3) - 4))/(6*x*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)^3))/(3*x*log((2*x)/(x +
log((4*x^2)/3)))^2 - 3*x^2*log((2*x)/(x + log((4*x^2)/3))) - log((2*x)/(x + log((4*x^2)/3)))^3 + x^3) + (((x
+ log((4*x^2)/3))*(384*x*exp(5) - 64*exp(10) + 64*x*exp(10) + 192*exp(10)*log((4*x^2)/3) - 384*x^2*exp(5) + 51
2*x^3*exp(5) - 1504*x^4*exp(5) + 576*x^5*exp(5) + 304*x^6*exp(5) - 16*x^2*exp(10) + 2896*x^7*exp(5) + 128*x^3*
exp(10) + 2840*x^8*exp(5) - 992*x^4*exp(10) + 1640*x^9*exp(5) - 800*x^5*exp(10) - 320*x^10*exp(5) + 80*x^6*exp
(10) - 122*x^11*exp(5) + 1076*x^7*exp(10) + 416*x^8*exp(10) - 72*x^10*exp(10) - 304*exp(10)*log((4*x^2)/3)^2 +
256*exp(10)*log((4*x^2)/3)^3 - 120*exp(10)*log((4*x^2)/3)^4 + 32*exp(10)*log((4*x^2)/3)^5 - 4*exp(10)*log((4*
x^2)/3)^6 + 1440*x*exp(5)*log((4*x^2)/3)^2 + 2112*x^2*exp(5)*log((4*x^2)/3) - 960*x*exp(5)*log((4*x^2)/3)^3 -
2592*x^3*exp(5)*log((4*x^2)/3) + 360*x*exp(5)*log((4*x^2)/3)^4 + 4832*x^4*exp(5)*log((4*x^2)/3) - 72*x*exp(5)*
log((4*x^2)/3)^5 - 1384*x^5*exp(5)*log((4*x^2)/3) + 6*x*exp(5)*log((4*x^2)/3)^6 + 5896*x^6*exp(5)*log((4*x^2)/
3) + 832*x*exp(10)*log((4*x^2)/3)^2 + 624*x^2*exp(10)*log((4*x^2)/3) + 3208*x^7*exp(5)*log((4*x^2)/3) - 872*x*
exp(10)*log((4*x^2)/3)^3 - 1784*x^3*exp(10)*log((4*x^2)/3) + 3400*x^8*exp(5)*log((4*x^2)/3) + 556*x*exp(10)*lo
g((4*x^2)/3)^4 - 484*x^4*exp(10)*log((4*x^2)/3) - 2182*x^9*exp(5)*log((4*x^2)/3) - 177*x*exp(10)*log((4*x^2)/3
)^5 + 300*x^5*exp(10)*log((4*x^2)/3) - 372*x^10*exp(5)*log((4*x^2)/3) + 29*x*exp(10)*log((4*x^2)/3)^6 + 3644*x
^6*exp(10)*log((4*x^2)/3) + 30*x^11*exp(5)*log((4*x^2)/3) + 1158*x^7*exp(10)*log((4*x^2)/3) - 36*x^8*exp(10)*l
og((4*x^2)/3) - 432*x^9*exp(10)*log((4*x^2)/3) - 3936*x^2*exp(5)*log((4*x^2)/3)^2 + 3552*x^2*exp(5)*log((4*x^2
)/3)^3 + 4976*x^3*exp(5)*log((4*x^2)/3)^2 - 1704*x^2*exp(5)*log((4*x^2)/3)^4 - 5336*x^3*exp(5)*log((4*x^2)/3)^
3 - 7040*x^4*exp(5)*log((4*x^2)/3)^2 + 420*x^2*exp(5)*log((4*x^2)/3)^5 + 3216*x^3*exp(5)*log((4*x^2)/3)^4 + 58
48*x^4*exp(5)*log((4*x^2)/3)^3 + 5400*x^5*exp(5)*log((4*x^2)/3)^2 - 42*x^2*exp(5)*log((4*x^2)/3)^6 - 988*x^3*e
xp(5)*log((4*x^2)/3)^5 - 3494*x^4*exp(5)*log((4*x^2)/3)^4 - 5986*x^5*exp(5)*log((4*x^2)/3)^3 - 3220*x^6*exp(5)
*log((4*x^2)/3)^2 - 1444*x^2*exp(10)*log((4*x^2)/3)^2 + 119*x^3*exp(5)*log((4*x^2)/3)^6 + 1206*x^4*exp(5)*log(
(4*x^2)/3)^5 + 3342*x^5*exp(5)*log((4*x^2)/3)^4 + 4008*x^6*exp(5)*log((4*x^2)/3)^3 + 3494*x^7*exp(5)*log((4*x^
2)/3)^2 + 1264*x^2*exp(10)*log((4*x^2)/3)^3 + 1104*x^3*exp(10)*log((4*x^2)/3)^2 - 163*x^4*exp(5)*log((4*x^2)/3
)^6 - 882*x^5*exp(5)*log((4*x^2)/3)^5 - 2532*x^6*exp(5)*log((4*x^2)/3)^4 - 4528*x^7*exp(5)*log((4*x^2)/3)^3 -
4578*x^8*exp(5)*log((4*x^2)/3)^2 - 1080*x^2*exp(10)*log((4*x^2)/3)^4 - 1910*x^3*exp(10)*log((4*x^2)/3)^3 - 772
*x^4*exp(10)*log((4*x^2)/3)^2 + 87*x^5*exp(5)*log((4*x^2)/3)^6 + 418*x^6*exp(5)*log((4*x^2)/3)^5 + 725*x^7*exp
(5)*log((4*x^2)/3)^4 + 424*x^8*exp(5)*log((4*x^2)/3)^3 - 220*x^9*exp(5)*log((4*x^2)/3)^2 + 381*x^2*exp(10)*log
((4*x^2)/3)^5 + 1317*x^3*exp(10)*log((4*x^2)/3)^4 + 3008*x^4*exp(10)*log((4*x^2)/3)^3 + 4612*x^5*exp(10)*log((
4*x^2)/3)^2 + 8*x^6*exp(5)*log((4*x^2)/3)^6 + 48*x^7*exp(5)*log((4*x^2)/3)^5 + 120*x^8*exp(5)*log((4*x^2)/3)^4
+ 158*x^9*exp(5)*log((4*x^2)/3)^3 + 108*x^10*exp(5)*log((4*x^2)/3)^2 - 83*x^2*exp(10)*log((4*x^2)/3)^6 - 461*
x^3*exp(10)*log((4*x^2)/3)^5 - 949*x^4*exp(10)*log((4*x^2)/3)^4 - 529*x^5*exp(10)*log((4*x^2)/3)^3 + 784*x^6*e
xp(10)*log((4*x^2)/3)^2 + 115*x^3*exp(10)*log((4*x^2)/3)^6 + 462*x^4*exp(10)*log((4*x^2)/3)^5 + 666*x^5*exp(10
)*log((4*x^2)/3)^4 + 370*x^6*exp(10)*log((4*x^2)/3)^3 + 15*x^7*exp(10)*log((4*x^2)/3)^2 - 72*x^4*exp(10)*log((
4*x^2)/3)^6 - 432*x^5*exp(10)*log((4*x^2)/3)^5 - 1080*x^6*exp(10)*log((4*x^2)/3)^4 - 1440*x^7*exp(10)*log((4*x
^2)/3)^3 - 1080*x^8*exp(10)*log((4*x^2)/3)^2 - 1152*x*exp(5)*log((4*x^2)/3) - 272*x*exp(10)*log((4*x^2)/3)))/(
12*x^2*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)^7) + (log((2*x)/(x + log((4*x^2)/3)))^2*(x + log((4*x^2)/
3))*(672*exp(5)*log((4*x^2)/3) - 864*x*exp(5) - 448*exp(5) - 1120*x^2*exp(5) + 624*x^3*exp(5) + 3840*x^4*exp(5
) + 6072*x^5*exp(5) + 1696*x^6*exp(5) - 1728*x^7*exp(5) - 974*x^8*exp(5) + 30*x^10*exp(5) - 784*exp(5)*log((4*
x^2)/3)^2 + 616*exp(5)*log((4*x^2)/3)^3 - 252*exp(5)*log((4*x^2)/3)^4 + 56*exp(5)*log((4*x^2)/3)^5 - 7*exp(5)*
log((4*x^2)/3)^6 + 480*x*exp(5)*log((4*x^2)/3)^2 + 2328*x^2*exp(5)*log((4*x^2)/3) - 1560*x*exp(5)*log((4*x^2)/
3)^3 + 4728*x^3*exp(5)*log((4*x^2)/3) + 802*x*exp(5)*log((4*x^2)/3)^4 + 10488*x^4*exp(5)*log((4*x^2)/3) - 234*
x*exp(5)*log((4*x^2)/3)^5 + 1032*x^5*exp(5)*log((4*x^2)/3) + 39*x*exp(5)*log((4*x^2)/3)^6 - 6558*x^6*exp(5)*lo
g((4*x^2)/3) - 3472*x^7*exp(5)*log((4*x^2)/3) + 258*x^8*exp(5)*log((4*x^2)/3) + 180*x^9*exp(5)*log((4*x^2)/3)
- 1320*x^2*exp(5)*log((4*x^2)/3)^2 + 1934*x^2*exp(5)*log((4*x^2)/3)^3 + 5340*x^3*exp(5)*log((4*x^2)/3)^2 - 684
*x^2*exp(5)*log((4*x^2)/3)^4 - 2000*x^3*exp(5)*log((4*x^2)/3)^3 - 2250*x^4*exp(5)*log((4*x^2)/3)^2 + 390*x^2*e
xp(5)*log((4*x^2)/3)^5 + 240*x^3*exp(5)*log((4*x^2)/3)^4 - 3384*x^4*exp(5)*log((4*x^2)/3)^3 - 8106*x^5*exp(5)*
log((4*x^2)/3)^2 - 87*x^2*exp(5)*log((4*x^2)/3)^6 - 410*x^3*exp(5)*log((4*x^2)/3)^5 - 1303*x^4*exp(5)*log((4*x
^2)/3)^4 - 3224*x^5*exp(5)*log((4*x^2)/3)^3 - 4742*x^6*exp(5)*log((4*x^2)/3)^2 + 70*x^3*exp(5)*log((4*x^2)/3)^
6 + 468*x^4*exp(5)*log((4*x^2)/3)^5 + 1224*x^5*exp(5)*log((4*x^2)/3)^4 + 1582*x^6*exp(5)*log((4*x^2)/3)^3 + 10
14*x^7*exp(5)*log((4*x^2)/3)^2 + 30*x^4*exp(5)*log((4*x^2)/3)^6 + 180*x^5*exp(5)*log((4*x^2)/3)^5 + 450*x^6*ex
p(5)*log((4*x^2)/3)^4 + 600*x^7*exp(5)*log((4*x^2)/3)^3 + 450*x^8*exp(5)*log((4*x^2)/3)^2 + 352*x*exp(5)*log((
4*x^2)/3)))/(12*x*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)^7) - (log((2*x)/(x + log((4*x^2)/3)))^3*(x + l
og((4*x^2)/3))*(1000*x^3*exp(5) - 224*x*exp(5) - 32*exp(5)*log((4*x^2)/3) - 128*x^2*exp(5) - 64*exp(5) + 1520*
x^4*exp(5) + 304*x^5*exp(5) - 716*x^6*exp(5) - 348*x^7*exp(5) + 24*x^9*exp(5) - 176*exp(5)*log((4*x^2)/3)^2 +
40*exp(5)*log((4*x^2)/3)^3 - 36*exp(5)*log((4*x^2)/3)^4 + 6*exp(5)*log((4*x^2)/3)^5 - exp(5)*log((4*x^2)/3)^6
+ 456*x*exp(5)*log((4*x^2)/3)^2 + 1576*x^2*exp(5)*log((4*x^2)/3) + 24*x*exp(5)*log((4*x^2)/3)^3 + 2488*x^3*exp
(5)*log((4*x^2)/3) + 150*x*exp(5)*log((4*x^2)/3)^4 + 64*x^4*exp(5)*log((4*x^2)/3) - 24*x*exp(5)*log((4*x^2)/3)
^5 - 2536*x^5*exp(5)*log((4*x^2)/3) + 6*x*exp(5)*log((4*x^2)/3)^6 - 1148*x^6*exp(5)*log((4*x^2)/3) + 72*x^7*ex
p(5)*log((4*x^2)/3) + 144*x^8*exp(5)*log((4*x^2)/3) + 968*x^2*exp(5)*log((4*x^2)/3)^2 + 80*x^2*exp(5)*log((4*x
^2)/3)^3 - 316*x^3*exp(5)*log((4*x^2)/3)^2 - 312*x^2*exp(5)*log((4*x^2)/3)^4 - 1576*x^3*exp(5)*log((4*x^2)/3)^
3 - 3108*x^4*exp(5)*log((4*x^2)/3)^2 + 36*x^2*exp(5)*log((4*x^2)/3)^5 - 54*x^3*exp(5)*log((4*x^2)/3)^4 - 636*x
^4*exp(5)*log((4*x^2)/3)^3 - 1352*x^5*exp(5)*log((4*x^2)/3)^2 - 14*x^2*exp(5)*log((4*x^2)/3)^6 - 12*x^3*exp(5)
*log((4*x^2)/3)^5 + 114*x^4*exp(5)*log((4*x^2)/3)^4 + 280*x^5*exp(5)*log((4*x^2)/3)^3 + 240*x^6*exp(5)*log((4*
x^2)/3)^2 + 24*x^3*exp(5)*log((4*x^2)/3)^6 + 144*x^4*exp(5)*log((4*x^2)/3)^5 + 360*x^5*exp(5)*log((4*x^2)/3)^4
+ 480*x^6*exp(5)*log((4*x^2)/3)^3 + 360*x^7*exp(5)*log((4*x^2)/3)^2 - 64*x*exp(5)*log((4*x^2)/3)))/(12*x*(x*l
og((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)^7) + (log((2*x)/(x + log((4*x^2)/3)))*(x + log((4*x^2)/3))*(384*x*ex
p(5) - 64*exp(10) + 192*exp(10)*log((4*x^2)/3) + 1088*x^2*exp(5) + 2304*x^3*exp(5) + 1760*x^4*exp(5) - 1056*x^
5*exp(5) - 4776*x^6*exp(5) + 160*x^2*exp(10) - 7392*x^7*exp(5) + 1136*x^3*exp(10) - 2672*x^8*exp(5) + 1088*x^4
*exp(10) + 1332*x^9*exp(5) - 4*x^5*exp(10) + 820*x^10*exp(5) - 1004*x^6*exp(10) - 436*x^7*exp(10) + 60*x^9*exp
(10) - 448*exp(10)*log((4*x^2)/3)^2 + 320*exp(10)*log((4*x^2)/3)^3 - 192*exp(10)*log((4*x^2)/3)^4 + 48*exp(10)
*log((4*x^2)/3)^5 - 8*exp(10)*log((4*x^2)/3)^6 + 1056*x*exp(5)*log((4*x^2)/3)^2 - 960*x^2*exp(5)*log((4*x^2)/3
) - 672*x*exp(5)*log((4*x^2)/3)^3 - 2336*x^3*exp(5)*log((4*x^2)/3) + 264*x*exp(5)*log((4*x^2)/3)^4 - 3888*x^4*
exp(5)*log((4*x^2)/3) - 60*x*exp(5)*log((4*x^2)/3)^5 - 6168*x^5*exp(5)*log((4*x^2)/3) + 6*x*exp(5)*log((4*x^2)
/3)^6 - 12648*x^6*exp(5)*log((4*x^2)/3) + 592*x*exp(10)*log((4*x^2)/3)^2 + 1568*x^2*exp(10)*log((4*x^2)/3) - 2
928*x^7*exp(5)*log((4*x^2)/3) - 500*x*exp(10)*log((4*x^2)/3)^3 + 1132*x^3*exp(10)*log((4*x^2)/3) + 5844*x^8*ex
p(5)*log((4*x^2)/3) + 576*x*exp(10)*log((4*x^2)/3)^4 - 432*x^4*exp(10)*log((4*x^2)/3) + 3056*x^9*exp(5)*log((4
*x^2)/3) - 171*x*exp(10)*log((4*x^2)/3)^5 - 3392*x^5*exp(10)*log((4*x^2)/3) - 252*x^10*exp(5)*log((4*x^2)/3) +
41*x*exp(10)*log((4*x^2)/3)^6 - 1324*x^6*exp(10)*log((4*x^2)/3) + 60*x^7*exp(10)*log((4*x^2)/3) + 360*x^8*exp
(10)*log((4*x^2)/3) + 128*x^2*exp(5)*log((4*x^2)/3)^2 + 400*x^2*exp(5)*log((4*x^2)/3)^3 + 624*x^3*exp(5)*log((
4*x^2)/3)^2 - 444*x^2*exp(5)*log((4*x^2)/3)^4 + 1032*x^3*exp(5)*log((4*x^2)/3)^3 + 1416*x^4*exp(5)*log((4*x^2)
/3)^2 + 176*x^2*exp(5)*log((4*x^2)/3)^5 - 224*x^3*exp(5)*log((4*x^2)/3)^4 - 964*x^4*exp(5)*log((4*x^2)/3)^3 -
5472*x^5*exp(5)*log((4*x^2)/3)^2 - 22*x^2*exp(5)*log((4*x^2)/3)^6 - 66*x^3*exp(5)*log((4*x^2)/3)^5 + 102*x^4*e
xp(5)*log((4*x^2)/3)^4 + 1672*x^5*exp(5)*log((4*x^2)/3)^3 + 1320*x^6*exp(5)*log((4*x^2)/3)^2 - 324*x^2*exp(10)
*log((4*x^2)/3)^2 + 3*x^3*exp(5)*log((4*x^2)/3)^6 - 252*x^4*exp(5)*log((4*x^2)/3)^5 + 180*x^5*exp(5)*log((4*x^
2)/3)^4 + 4056*x^6*exp(5)*log((4*x^2)/3)^3 + 8136*x^7*exp(5)*log((4*x^2)/3)^2 + 996*x^2*exp(10)*log((4*x^2)/3)
^3 + 28*x^3*exp(10)*log((4*x^2)/3)^2 + 96*x^4*exp(5)*log((4*x^2)/3)^6 + 460*x^5*exp(5)*log((4*x^2)/3)^5 + 1424
*x^6*exp(5)*log((4*x^2)/3)^4 + 3244*x^7*exp(5)*log((4*x^2)/3)^3 + 4420*x^8*exp(5)*log((4*x^2)/3)^2 - 732*x^2*e
xp(10)*log((4*x^2)/3)^4 - 2276*x^3*exp(10)*log((4*x^2)/3)^3 - 4096*x^4*exp(10)*log((4*x^2)/3)^2 - 128*x^5*exp(
5)*log((4*x^2)/3)^6 - 708*x^6*exp(5)*log((4*x^2)/3)^5 - 1590*x^7*exp(5)*log((4*x^2)/3)^4 - 1820*x^8*exp(5)*log
((4*x^2)/3)^3 - 1062*x^9*exp(5)*log((4*x^2)/3)^2 + 246*x^2*exp(10)*log((4*x^2)/3)^5 + 453*x^3*exp(10)*log((4*x
^2)/3)^4 - 112*x^4*exp(10)*log((4*x^2)/3)^3 - 1248*x^5*exp(10)*log((4*x^2)/3)^2 - 78*x^2*exp(10)*log((4*x^2)/3
)^6 - 288*x^3*exp(10)*log((4*x^2)/3)^5 - 342*x^4*exp(10)*log((4*x^2)/3)^4 - 72*x^5*exp(10)*log((4*x^2)/3)^3 +
120*x^6*exp(10)*log((4*x^2)/3)^2 + 60*x^3*exp(10)*log((4*x^2)/3)^6 + 360*x^4*exp(10)*log((4*x^2)/3)^5 + 900*x^
5*exp(10)*log((4*x^2)/3)^4 + 1200*x^6*exp(10)*log((4*x^2)/3)^3 + 900*x^7*exp(10)*log((4*x^2)/3)^2 - 960*x*exp(
5)*log((4*x^2)/3) - 48*x*exp(10)*log((4*x^2)/3)))/(12*x^2*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)^7))/(x
- log((2*x)/(x + log((4*x^2)/3)))) - ((log((2*x)/(x + log((4*x^2)/3)))^2*exp(5)*(5*x*log((4*x^2)/3) - 2*log((
4*x^2)/3) + 5*x^2 + 4))/(2*x*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)) - (log((2*x)/(x + log((4*x^2)/3)))
^3*exp(5)*(x + log((4*x^2)/3)))/(2*x*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)) - (exp(5)*(exp(5) - x^3)*(
3*x*log((4*x^2)/3) - 2*log((4*x^2)/3) + 3*x^2 + 4))/(2*x^2*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)) + (l
og((2*x)/(x + log((4*x^2)/3)))*exp(5)*(x*exp(5) + exp(5)*log((4*x^2)/3) - 8*x^2 - 7*x^4 + 4*x^2*log((4*x^2)/3)
- 7*x^3*log((4*x^2)/3)))/(2*x^2*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)))/(log((2*x)/(x + log((4*x^2)/3
)))^4 - 4*x^3*log((2*x)/(x + log((4*x^2)/3))) - 4*x*log((2*x)/(x + log((4*x^2)/3)))^3 + 6*x^2*log((2*x)/(x + l
og((4*x^2)/3)))^2 + x^4) - ((exp(5)*(128*x - 576*x^2*log((4*x^2)/3)^2 + 432*x^2*log((4*x^2)/3)^3 + 592*x^3*log
((4*x^2)/3)^2 - 144*x^2*log((4*x^2)/3)^4 - 464*x^3*log((4*x^2)/3)^3 - 680*x^4*log((4*x^2)/3)^2 + 18*x^2*log((4
*x^2)/3)^5 + 186*x^3*log((4*x^2)/3)^4 + 400*x^4*log((4*x^2)/3)^3 + 352*x^5*log((4*x^2)/3)^2 - 28*x^3*log((4*x^
2)/3)^5 - 112*x^4*log((4*x^2)/3)^4 - 246*x^5*log((4*x^2)/3)^3 - 324*x^6*log((4*x^2)/3)^2 + 13*x^4*log((4*x^2)/
3)^5 + 37*x^5*log((4*x^2)/3)^4 + 6*x^6*log((4*x^2)/3)^3 - 82*x^7*log((4*x^2)/3)^2 + 4*x^5*log((4*x^2)/3)^5 + 2
0*x^6*log((4*x^2)/3)^4 + 38*x^7*log((4*x^2)/3)^3 + 32*x^8*log((4*x^2)/3)^2 + 32*x*exp(5) + 32*exp(5)*log((4*x^
2)/3) - 320*x*log((4*x^2)/3) - 16*x^2*exp(5) + 32*x^3*exp(5) - 12*x^4*exp(5) + 80*x^5*exp(5) + 4*x^6*exp(5) -
18*x^8*exp(5) - 64*exp(5)*log((4*x^2)/3)^2 + 56*exp(5)*log((4*x^2)/3)^3 - 24*exp(5)*log((4*x^2)/3)^4 + 4*exp(5
)*log((4*x^2)/3)^5 + 288*x^3 + 64*x^4 + 304*x^5 + 88*x^6 + 112*x^7 - 44*x^8 - 34*x^9 + 320*x*log((4*x^2)/3)^2
+ 288*x^2*log((4*x^2)/3) - 160*x*log((4*x^2)/3)^3 - 512*x^3*log((4*x^2)/3) + 40*x*log((4*x^2)/3)^4 + 464*x^4*l
og((4*x^2)/3) - 4*x*log((4*x^2)/3)^5 - 272*x^5*log((4*x^2)/3) + 232*x^6*log((4*x^2)/3) - 206*x^7*log((4*x^2)/3
) - 98*x^8*log((4*x^2)/3) + 10*x^9*log((4*x^2)/3) + 128*x*exp(5)*log((4*x^2)/3)^2 + 104*x^2*exp(5)*log((4*x^2)
/3) - 144*x*exp(5)*log((4*x^2)/3)^3 - 112*x^3*exp(5)*log((4*x^2)/3) + 78*x*exp(5)*log((4*x^2)/3)^4 + 244*x^4*e
xp(5)*log((4*x^2)/3) - 18*x*exp(5)*log((4*x^2)/3)^5 - 58*x^5*exp(5)*log((4*x^2)/3) + 14*x^6*exp(5)*log((4*x^2)
/3) - 90*x^7*exp(5)*log((4*x^2)/3) - 220*x^2*exp(5)*log((4*x^2)/3)^2 + 222*x^2*exp(5)*log((4*x^2)/3)^3 + 312*x
^3*exp(5)*log((4*x^2)/3)^2 - 103*x^2*exp(5)*log((4*x^2)/3)^4 - 219*x^3*exp(5)*log((4*x^2)/3)^3 - 196*x^4*exp(5
)*log((4*x^2)/3)^2 + 29*x^2*exp(5)*log((4*x^2)/3)^5 + 103*x^3*exp(5)*log((4*x^2)/3)^4 + 133*x^4*exp(5)*log((4*
x^2)/3)^3 + 73*x^5*exp(5)*log((4*x^2)/3)^2 - 18*x^3*exp(5)*log((4*x^2)/3)^5 - 90*x^4*exp(5)*log((4*x^2)/3)^4 -
180*x^5*exp(5)*log((4*x^2)/3)^3 - 180*x^6*exp(5)*log((4*x^2)/3)^2 - 80*x*exp(5)*log((4*x^2)/3)))/(12*x^2*(x*l
og((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)^5) + (log((2*x)/(x + log((4*x^2)/3)))^2*(x + log((4*x^2)/3))*(64*exp
(5) + 80*x*exp(5) - 96*exp(5)*log((4*x^2)/3) + 136*x^2*exp(5) - 164*x^4*exp(5) - 126*x^5*exp(5) + 10*x^7*exp(5
) + 64*exp(5)*log((4*x^2)/3)^2 - 24*exp(5)*log((4*x^2)/3)^3 + 4*exp(5)*log((4*x^2)/3)^4 - 40*x*exp(5)*log((4*x
^2)/3)^2 - 120*x^2*exp(5)*log((4*x^2)/3) + 52*x*exp(5)*log((4*x^2)/3)^3 - 246*x^3*exp(5)*log((4*x^2)/3) - 13*x
*exp(5)*log((4*x^2)/3)^4 - 232*x^4*exp(5)*log((4*x^2)/3) + 34*x^5*exp(5)*log((4*x^2)/3) + 40*x^6*exp(5)*log((4
*x^2)/3) - 6*x^2*exp(5)*log((4*x^2)/3)^2 - 40*x^2*exp(5)*log((4*x^2)/3)^3 - 130*x^3*exp(5)*log((4*x^2)/3)^2 +
8*x^2*exp(5)*log((4*x^2)/3)^4 + 44*x^3*exp(5)*log((4*x^2)/3)^3 + 70*x^4*exp(5)*log((4*x^2)/3)^2 + 10*x^3*exp(5
)*log((4*x^2)/3)^4 + 40*x^4*exp(5)*log((4*x^2)/3)^3 + 60*x^5*exp(5)*log((4*x^2)/3)^2 + 8*x*exp(5)*log((4*x^2)/
3)))/(12*x*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)^5) - (log((2*x)/(x + log((4*x^2)/3)))^3*(x + log((4*x
^2)/3))*(16*exp(5) + 24*x*exp(5) - 8*exp(5)*log((4*x^2)/3) - 60*x^3*exp(5) - 34*x^4*exp(5) + 6*x^6*exp(5) + 16
*exp(5)*log((4*x^2)/3)^2 - 4*exp(5)*log((4*x^2)/3)^3 + exp(5)*log((4*x^2)/3)^4 - 34*x*exp(5)*log((4*x^2)/3)^2
- 98*x^2*exp(5)*log((4*x^2)/3) + 8*x*exp(5)*log((4*x^2)/3)^3 - 48*x^3*exp(5)*log((4*x^2)/3) - 4*x*exp(5)*log((
4*x^2)/3)^4 + 6*x^4*exp(5)*log((4*x^2)/3) + 24*x^5*exp(5)*log((4*x^2)/3) - 6*x^2*exp(5)*log((4*x^2)/3)^2 - 4*x
^2*exp(5)*log((4*x^2)/3)^3 + 6*x^3*exp(5)*log((4*x^2)/3)^2 + 6*x^2*exp(5)*log((4*x^2)/3)^4 + 24*x^3*exp(5)*log
((4*x^2)/3)^3 + 36*x^4*exp(5)*log((4*x^2)/3)^2 - 8*x*exp(5)*log((4*x^2)/3)))/(12*x*(x*log((4*x^2)/3) - log((4*
x^2)/3) + x^2 + 2)^5) + (log((2*x)/(x + log((4*x^2)/3)))*exp(5)*(x + log((4*x^2)/3))*(32*x + 16*exp(5) - 224*x
^2*log((4*x^2)/3)^2 + 96*x^2*log((4*x^2)/3)^3 + 224*x^3*log((4*x^2)/3)^2 - 16*x^2*log((4*x^2)/3)^4 - 172*x^3*l
og((4*x^2)/3)^3 - 186*x^4*log((4*x^2)/3)^2 + 41*x^3*log((4*x^2)/3)^4 + 144*x^4*log((4*x^2)/3)^3 + 302*x^5*log(
(4*x^2)/3)^2 - 36*x^4*log((4*x^2)/3)^4 - 124*x^5*log((4*x^2)/3)^3 - 146*x^6*log((4*x^2)/3)^2 - 32*exp(5)*log((
4*x^2)/3) - 64*x*log((4*x^2)/3) - 12*x^2*exp(5) - 72*x^3*exp(5) - 28*x^4*exp(5) + 12*x^6*exp(5) + 40*exp(5)*lo
g((4*x^2)/3)^2 - 16*exp(5)*log((4*x^2)/3)^3 + 4*exp(5)*log((4*x^2)/3)^4 - 128*x^2 - 48*x^3 - 200*x^4 + 48*x^5
+ 148*x^6 + 166*x^7 + 48*x*log((4*x^2)/3)^2 + 256*x^2*log((4*x^2)/3) - 16*x*log((4*x^2)/3)^3 - 136*x^3*log((4*
x^2)/3) + 2*x*log((4*x^2)/3)^4 + 312*x^4*log((4*x^2)/3) + 150*x^5*log((4*x^2)/3) + 368*x^6*log((4*x^2)/3) - 58
*x^7*log((4*x^2)/3) - 52*x*exp(5)*log((4*x^2)/3)^2 - 116*x^2*exp(5)*log((4*x^2)/3) + 29*x*exp(5)*log((4*x^2)/3
)^3 - 18*x^3*exp(5)*log((4*x^2)/3) - 13*x*exp(5)*log((4*x^2)/3)^4 + 48*x^5*exp(5)*log((4*x^2)/3) + 36*x^2*exp(
5)*log((4*x^2)/3)^2 - 28*x^2*exp(5)*log((4*x^2)/3)^3 - 15*x^3*exp(5)*log((4*x^2)/3)^2 + 12*x^2*exp(5)*log((4*x
^2)/3)^4 + 48*x^3*exp(5)*log((4*x^2)/3)^3 + 72*x^4*exp(5)*log((4*x^2)/3)^2 + 4*x*exp(5)*log((4*x^2)/3)))/(12*x
^2*(x*log((4*x^2)/3) - log((4*x^2)/3) + x^2 + 2)^5))/(log((2*x)/(x + log((4*x^2)/3)))^2 + x^2 - 2*x*log((2*x)/
(x + log((4*x^2)/3)))) + (log((2*x)/(x + log((4*x^2)/3)))^2*(log((4*x^2)/3)^5*(x*(x*(x*(x*(x*((16*exp(5) - 120
*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)
*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7))*(x - 1) + ((2
*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^6*(x - 1)^6))*(x -
1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^5*(x - 1)
^5))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^
4*(x - 1)^4))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)
))/(12*x^3*(x - 1)^3))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x
^4*exp(5)))/(12*x^2*(x - 1)^2) - (21*x^5*(2*x + x^3)^2*(x - 1)^5*(exp(5) - 6*x*exp(5) + 14*x^2*exp(5) - 24*x^3
*exp(5)))/(12*x^8 - 84*x^9 + 252*x^10 - 420*x^11 + 420*x^12 - 252*x^13 + 84*x^14 - 12*x^15)) + log((4*x^2)/3)^
6*((53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5))/(12*x*(x - 1)) - (7*x^6*(2*x + x
^3)*(x - 1)^6*(exp(5) - 6*x*exp(5) + 14*x^2*exp(5) - 24*x^3*exp(5)))/(12*x^8 - 84*x^9 + 252*x^10 - 420*x^11 +
420*x^12 - 252*x^13 + 84*x^14 - 12*x^15)) + log((4*x^2)/3)^2*((2*x + x^3)*((2*x + x^3)*((2*x + x^3)*(x*(x*((16
*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) +
((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7))*
(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^6*(x
- 1)^6))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(1
2*x^5*(x - 1)^5)) + x*((2*x + x^3)*(x*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*e
xp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp
(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 31
0*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^6*(x - 1)^6)) + x*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5
) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5)
- 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x
^2*exp(5) + 9886*x^3*exp(5) + 9936*x^4*exp(5) + 155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5
))/(12*x^5*(x - 1)^7))*(x - 1))*(x - 1)) + x*((2*x + x^3)*((2*x + x^3)*(x*((16*exp(5) - 120*x*exp(5) + 368*x^2
*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*e
xp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(53*x*exp
(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^6*(x - 1)^6)) + x*((2*x + x^3)*((16*e
xp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + (
(2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7)) +
(1968*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886*x^3*exp(5) + 9936*x^4*exp(5) + 155*x^5*exp(5) - 904*x^6*e
xp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x - 1)^7))*(x - 1)) + x*((2*x + x^3)*((2*x + x^3)*((16*exp(5)
- 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x +
x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7)) + (1968*
x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886*x^3*exp(5) + 9936*x^4*exp(5) + 155*x^5*exp(5) - 904*x^6*exp(5)
- 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x - 1)^7)) - (7664*x*exp(5) - 896*exp(5) - 24400*x^2*exp(5) + 21076*
x^3*exp(5) + 42684*x^4*exp(5) + 4764*x^5*exp(5) - 7504*x^6*exp(5) - 1292*x^7*exp(5) + 385*x^8*exp(5) + 50*x^9*
exp(5) - 6*x^10*exp(5))/(12*x^4*(x - 1)^7))*(x - 1))*(x - 1)) + x*((2*x + x^3)*((2*x + x^3)*((2*x + x^3)*(x*((
16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7)
+ ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7)
)*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^6*(
x - 1)^6)) + x*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12
*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x
^4*exp(5)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886*x^3*exp(5) + 9936*x^4*e
xp(5) + 155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x - 1)^7))*(x - 1)) + x*((2*
x + x^3)*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*e
xp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp
(5)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886*x^3*exp(5) + 9936*x^4*exp(5)
+ 155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x - 1)^7)) - (7664*x*exp(5) - 896*
exp(5) - 24400*x^2*exp(5) + 21076*x^3*exp(5) + 42684*x^4*exp(5) + 4764*x^5*exp(5) - 7504*x^6*exp(5) - 1292*x^7
*exp(5) + 385*x^8*exp(5) + 50*x^9*exp(5) - 6*x^10*exp(5))/(12*x^4*(x - 1)^7))*(x - 1)) + x*((2*x + x^3)*((2*x
+ x^3)*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp
(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5
)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886*x^3*exp(5) + 9936*x^4*exp(5) +
155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x - 1)^7)) - (7664*x*exp(5) - 896*ex
p(5) - 24400*x^2*exp(5) + 21076*x^3*exp(5) + 42684*x^4*exp(5) + 4764*x^5*exp(5) - 7504*x^6*exp(5) - 1292*x^7*e
xp(5) + 385*x^8*exp(5) + 50*x^9*exp(5) - 6*x^10*exp(5))/(12*x^4*(x - 1)^7)) - (2240*exp(5) - 18784*x*exp(5) +
50848*x^2*exp(5) - 11976*x^3*exp(5) - 100524*x^4*exp(5) - 31188*x^5*exp(5) + 25056*x^6*exp(5) + 10524*x^7*exp(
5) - 1812*x^8*exp(5) - 983*x^9*exp(5) + 28*x^10*exp(5) + 26*x^11*exp(5))/(12*x^3*(x - 1)^7))*(x - 1))*(x - 1)
- (21*x^2*(2*x + x^3)^5*(x - 1)^2*(exp(5) - 6*x*exp(5) + 14*x^2*exp(5) - 24*x^3*exp(5)))/(12*x^8 - 84*x^9 + 25
2*x^10 - 420*x^11 + 420*x^12 - 252*x^13 + 84*x^14 - 12*x^15)) + log((4*x^2)/3)^3*((2*x + x^3)*((2*x + x^3)*(x*
(x*(x*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x
- 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x
- 1)^7))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(
12*x^6*(x - 1)^6))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*e
xp(5)))/(12*x^5*(x - 1)^5))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) +
96*x^4*exp(5)))/(12*x^4*(x - 1)^4)) + x*((2*x + x^3)*(x*(x*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*
x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^
2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5)
- 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^6*(x - 1)^6))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) -
8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^5*(x - 1)^5)) + x*((2*x + x^3)*(x*((16*exp
(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2
*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7))*(x -
1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^6*(x - 1)
^6)) + x*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*e
xp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp
(5)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886*x^3*exp(5) + 9936*x^4*exp(5)
+ 155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x - 1)^7))*(x - 1))*(x - 1))*(x -
1)) + x*((2*x + x^3)*((2*x + x^3)*(x*(x*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4
*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*e
xp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) +
310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^6*(x - 1)^6))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*
exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^5*(x - 1)^5)) + x*((2*x + x^3)*(x*((16*exp(5) - 120*x*exp(5) +
368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(
5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(
53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^6*(x - 1)^6)) + x*((2*x + x^3
)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1
)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1
)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886*x^3*exp(5) + 9936*x^4*exp(5) + 155*x^5*exp(5) - 9
04*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x - 1)^7))*(x - 1))*(x - 1)) + x*((2*x + x^3)*((2*x +
x^3)*(x*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*
(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*
(x - 1)^7))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))
/(12*x^6*(x - 1)^6)) + x*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*e
xp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp
(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886*x^3*exp(5) +
9936*x^4*exp(5) + 155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x - 1)^7))*(x - 1)
) + x*((2*x + x^3)*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5)
+ 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) +
96*x^4*exp(5)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886*x^3*exp(5) + 9936*x
^4*exp(5) + 155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x - 1)^7)) - (7664*x*exp
(5) - 896*exp(5) - 24400*x^2*exp(5) + 21076*x^3*exp(5) + 42684*x^4*exp(5) + 4764*x^5*exp(5) - 7504*x^6*exp(5)
- 1292*x^7*exp(5) + 385*x^8*exp(5) + 50*x^9*exp(5) - 6*x^10*exp(5))/(12*x^4*(x - 1)^7))*(x - 1))*(x - 1))*(x -
1) - (35*x^3*(2*x + x^3)^4*(x - 1)^3*(exp(5) - 6*x*exp(5) + 14*x^2*exp(5) - 24*x^3*exp(5)))/(12*x^8 - 84*x^9
+ 252*x^10 - 420*x^11 + 420*x^12 - 252*x^13 + 84*x^14 - 12*x^15)) + log((4*x^2)/3)*((2*x + x^3)*((2*x + x^3)*(
(2*x + x^3)*((2*x + x^3)*(x*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12
*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x
^4*exp(5)))/(12*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(
5) + 96*x^4*exp(5)))/(12*x^6*(x - 1)^6)) + x*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^
3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*
exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5)
+ 9886*x^3*exp(5) + 9936*x^4*exp(5) + 155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5
*(x - 1)^7))*(x - 1)) + x*((2*x + x^3)*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(
5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5)
+ 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886
*x^3*exp(5) + 9936*x^4*exp(5) + 155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x -
1)^7)) - (7664*x*exp(5) - 896*exp(5) - 24400*x^2*exp(5) + 21076*x^3*exp(5) + 42684*x^4*exp(5) + 4764*x^5*exp(5
) - 7504*x^6*exp(5) - 1292*x^7*exp(5) + 385*x^8*exp(5) + 50*x^9*exp(5) - 6*x^10*exp(5))/(12*x^4*(x - 1)^7))*(x
- 1)) + x*((2*x + x^3)*((2*x + x^3)*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5)
- 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) +
310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886*x
^3*exp(5) + 9936*x^4*exp(5) + 155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x - 1)
^7)) - (7664*x*exp(5) - 896*exp(5) - 24400*x^2*exp(5) + 21076*x^3*exp(5) + 42684*x^4*exp(5) + 4764*x^5*exp(5)
- 7504*x^6*exp(5) - 1292*x^7*exp(5) + 385*x^8*exp(5) + 50*x^9*exp(5) - 6*x^10*exp(5))/(12*x^4*(x - 1)^7)) - (2
240*exp(5) - 18784*x*exp(5) + 50848*x^2*exp(5) - 11976*x^3*exp(5) - 100524*x^4*exp(5) - 31188*x^5*exp(5) + 250
56*x^6*exp(5) + 10524*x^7*exp(5) - 1812*x^8*exp(5) - 983*x^9*exp(5) + 28*x^10*exp(5) + 26*x^11*exp(5))/(12*x^3
*(x - 1)^7))*(x - 1)) + x*(((2*x + x^3)*((2*x + x^3)*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5)
- 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) -
136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp(5) - 6594*x^2
*exp(5) + 9886*x^3*exp(5) + 9936*x^4*exp(5) + 155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) + 16*x^8*exp(5))
/(12*x^5*(x - 1)^7)) - (7664*x*exp(5) - 896*exp(5) - 24400*x^2*exp(5) + 21076*x^3*exp(5) + 42684*x^4*exp(5) +
4764*x^5*exp(5) - 7504*x^6*exp(5) - 1292*x^7*exp(5) + 385*x^8*exp(5) + 50*x^9*exp(5) - 6*x^10*exp(5))/(12*x^4*
(x - 1)^7)) - (2240*exp(5) - 18784*x*exp(5) + 50848*x^2*exp(5) - 11976*x^3*exp(5) - 100524*x^4*exp(5) - 31188*
x^5*exp(5) + 25056*x^6*exp(5) + 10524*x^7*exp(5) - 1812*x^8*exp(5) - 983*x^9*exp(5) + 28*x^10*exp(5) + 26*x^11
*exp(5))/(12*x^3*(x - 1)^7))*(2*x + x^3) + (5*(640*exp(5) - 4992*x*exp(5) + 10560*x^2*exp(5) + 5024*x^3*exp(5)
- 22920*x^4*exp(5) - 14784*x^5*exp(5) + 6084*x^6*exp(5) + 5988*x^7*exp(5) - 24*x^8*exp(5) - 820*x^9*exp(5) -
108*x^10*exp(5) + 36*x^11*exp(5) + 7*x^12*exp(5)))/(12*x^2*(x - 1)^7))*(x - 1) - (7*x*(2*x + x^3)^6*(x - 1)*(e
xp(5) - 6*x*exp(5) + 14*x^2*exp(5) - 24*x^3*exp(5)))/(12*x^8 - 84*x^9 + 252*x^10 - 420*x^11 + 420*x^12 - 252*x
^13 + 84*x^14 - 12*x^15)) + (2*x + x^3)*(((2*x + x^3)*((2*x + x^3)*((2*x + x^3)*((16*exp(5) - 120*x*exp(5) + 3
68*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5)
- 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7)) + (1968*x*exp(5) - 240*exp
(5) - 6594*x^2*exp(5) + 9886*x^3*exp(5) + 9936*x^4*exp(5) + 155*x^5*exp(5) - 904*x^6*exp(5) - 48*x^7*exp(5) +
16*x^8*exp(5))/(12*x^5*(x - 1)^7)) - (7664*x*exp(5) - 896*exp(5) - 24400*x^2*exp(5) + 21076*x^3*exp(5) + 42684
*x^4*exp(5) + 4764*x^5*exp(5) - 7504*x^6*exp(5) - 1292*x^7*exp(5) + 385*x^8*exp(5) + 50*x^9*exp(5) - 6*x^10*ex
p(5))/(12*x^4*(x - 1)^7)) - (2240*exp(5) - 18784*x*exp(5) + 50848*x^2*exp(5) - 11976*x^3*exp(5) - 100524*x^4*e
xp(5) - 31188*x^5*exp(5) + 25056*x^6*exp(5) + 10524*x^7*exp(5) - 1812*x^8*exp(5) - 983*x^9*exp(5) + 28*x^10*ex
p(5) + 26*x^11*exp(5))/(12*x^3*(x - 1)^7))*(2*x + x^3) + (5*(640*exp(5) - 4992*x*exp(5) + 10560*x^2*exp(5) + 5
024*x^3*exp(5) - 22920*x^4*exp(5) - 14784*x^5*exp(5) + 6084*x^6*exp(5) + 5988*x^7*exp(5) - 24*x^8*exp(5) - 820
*x^9*exp(5) - 108*x^10*exp(5) + 36*x^11*exp(5) + 7*x^12*exp(5)))/(12*x^2*(x - 1)^7)) + log((4*x^2)/3)^4*((2*x
+ x^3)*(x*(x*(x*(x*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(
5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)
))/(12*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x
^4*exp(5)))/(12*x^6*(x - 1)^6))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(
5) + 96*x^4*exp(5)))/(12*x^5*(x - 1)^5))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310
*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^4*(x - 1)^4))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp
(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^3*(x - 1)^3)) + x*((2*x + x^3)*(x*(x*(x*((16*exp(5) - 120*x*exp(5
) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*e
xp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3
)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^6*(x - 1)^6))*(x - 1) + ((
2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^5*(x - 1)^5))*(x
- 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^4*(x - 1
)^4)) + x*((2*x + x^3)*(x*(x*((16*exp(5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 1
2*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*
x^4*exp(5)))/(12*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp
(5) + 96*x^4*exp(5)))/(12*x^6*(x - 1)^6))*(x - 1) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 31
0*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^5*(x - 1)^5)) + x*((2*x + x^3)*(x*((16*exp(5) - 120*x*exp(5) + 368*x^2*ex
p(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*x + x^3)*(53*x*exp(5) - 8*exp(
5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(53*x*exp(5)
- 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^6*(x - 1)^6)) + x*((2*x + x^3)*((16*exp(
5) - 120*x*exp(5) + 368*x^2*exp(5) - 776*x^3*exp(5) - 445*x^4*exp(5) + 12*x^6*exp(5))/(4*x^6*(x - 1)^7) + ((2*
x + x^3)*(53*x*exp(5) - 8*exp(5) - 136*x^2*exp(5) + 310*x^3*exp(5) + 96*x^4*exp(5)))/(12*x^7*(x - 1)^7)) + (19
68*x*exp(5) - 240*exp(5) - 6594*x^2*exp(5) + 9886*x^3*exp(5) + 9936*x^4*exp(5) + 155*x^5*exp(5) - 904*x^6*exp(
5) - 48*x^7*exp(5) + 16*x^8*exp(5))/(12*x^5*(x - 1)^7))*(x - 1))*(x - 1))*(x - 1))*(x - 1) - (35*x^4*(2*x + x^
3)^3*(x - 1)^4*(exp(5) - 6*x*exp(5) + 14*x^2*exp(5) - 24*x^3*exp(5)))/(12*x^8 - 84*x^9 + 252*x^10 - 420*x^11 +
420*x^12 - 252*x^13 + 84*x^14 - 12*x^15)) - (5*(128*exp(5) - 896*x*exp(5) + 1344*x^2*exp(5) + 1984*x^3*exp(5)
- 3064*x^4*exp(5) - 3816*x^5*exp(5) + 408*x^6*exp(5) + 1716*x^7*exp(5) + 360*x^8*exp(5) - 260*x^9*exp(5) - 10
6*x^10*exp(5) + 6*x^11*exp(5) + 8*x^12*exp(5) + x^13*exp(5)))/(4*x*(x - 1)^7) - ((2*x + x^3)^7*(exp(5) - 6*x*e
xp(5) + 14*x^2*exp(5) - 24*x^3*exp(5)))/(12*x^8 - 84*x^9 + 252*x^10 - 420*x^11 + 420*x^12 - 252*x^13 + 84*x^14
- 12*x^15) - (x^7*log((4*x^2)/3)^7*(x - 1)^7*(exp(5) - 6*x*exp(5) + 14*x^2*exp(5) - 24*x^3*exp(5)))/(12*x^8 -
84*x^9 + 252*x^10 - 420*x^11 + 420*x^12 - 252*x^13 + 84*x^14 - 12*x^15)))/(log((4*x^2)/3)^6*(217*x^2 - 84*x -
322*x^3 + 315*x^4 - 224*x^5 + 119*x^6 - 42*x^7 + 7*x^8 + 14) + log((4*x^2)/3)^5*(420*x - 924*x^2 + 1260*x^3 -
1281*x^4 + 1029*x^5 - 630*x^6 + 294*x^7 - 105*x^8 + 21*x^9 - 84) + log((4*x^2)/3)^7*(7*x - 21*x^2 + 35*x^3 -
35*x^4 + 21*x^5 - 7*x^6 + x^7 - 1) + log((4*x^2)/3)^4*(2100*x^2 - 1120*x - 2800*x^3 + 3010*x^4 - 2520*x^5 + 17
15*x^6 - 980*x^7 + 420*x^8 - 140*x^9 + 35*x^10 + 280) + log((4*x^2)/3)^3*(1680*x - 2800*x^2 + 3920*x^3 - 4200*
x^4 + 3640*x^5 - 2800*x^6 + 1680*x^7 - 875*x^8 + 385*x^9 - 105*x^10 + 35*x^11 - 560) + log((4*x^2)/3)*(448*x -
1344*x^2 + 1344*x^3 - 1680*x^4 + 1680*x^5 - 1120*x^6 + 1120*x^7 - 420*x^8 + 420*x^9 - 84*x^10 + 84*x^11 - 7*x
^12 + 7*x^13 - 448) + 448*x^2 + 672*x^4 + 560*x^6 + 280*x^8 + 84*x^10 + 14*x^12 + x^14 + log((4*x^2)/3)^2*(235
2*x^2 - 1344*x - 3360*x^3 + 3360*x^4 - 3360*x^5 + 2520*x^6 - 1680*x^7 + 1050*x^8 - 420*x^9 + 231*x^10 - 42*x^1
1 + 21*x^12 + 672) + 128) - (log((2*x)/(x + log((4*x^2)/3)))*(log((4*x^2)/3)^3*((2*x + x^3)*((2*x + x^3)*(x*(x
- 1)*(x*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 1
6*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284
*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*ex
p(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^6*(x - 1)^6))*(x - 1) + ((2*x +
x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^5*(x
- 1)^5)) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5
*exp(5)))/(6*x^4*(x - 1)^4)) + x*((2*x + x^3)*(x*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(
5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*e
xp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x -
1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5
)))/(6*x^6*(x - 1)^6))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 26
2*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^5*(x - 1)^5)) + x*((2*x + x^3)*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp
(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2
*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^
7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp
(5) + 24*x^5*exp(5)))/(6*x^6*(x - 1)^6)) + x*((2*x + x^3)*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^
3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(1
48*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)
) - (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597
*x^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7))*(x - 1))*(x - 1))*(x - 1)) + x*((2*x + x^3)*((
2*x + x^3)*(x*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5
) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5)
+ 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) -
24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^6*(x - 1)^6))*(x - 1) + ((
2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x
^5*(x - 1)^5)) + x*((2*x + x^3)*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(
5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5)
- 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3
)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^6*(x - 1
)^6)) + x*((2*x + x^3)*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5
*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*e
xp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)) - (288*exp(5) - 1920*x*exp(5) + 3
600*x^2*exp(5) + 3458*x^3*exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x^6*exp(5) + 640*x^7*exp(5) - 8*x^
9*exp(5))/(6*x^5*(x - 1)^7))*(x - 1))*(x - 1)) + x*(((2*x + x^3)*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5
) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x
+ x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*
(x - 1)^7))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5
) + 24*x^5*exp(5)))/(6*x^6*(x - 1)^6)) + x*((2*x + x^3)*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*
exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148
*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))
- (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x
^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7))*(x - 1))*(2*x + x^3) + x*(((2*x + x^3)*((32*exp(
5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*
exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4
*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)) - (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*exp(5)
- 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7))*(2*
x + x^3) + (512*exp(5) - 2784*x*exp(5) + 208*x^2*exp(5) + 23032*x^3*exp(5) - 28780*x^4*exp(5) - 40500*x^5*exp(
5) - 1764*x^6*exp(5) + 7096*x^7*exp(5) + 848*x^8*exp(5) - 369*x^9*exp(5) - 30*x^10*exp(5) + 6*x^11*exp(5))/(6*
x^4*(x - 1)^7))*(x - 1))*(x - 1))*(x - 1) - (35*x^3*(2*x + x^3)^4*(x - 1)^3*(4*exp(5) - 23*x*exp(5) + 54*x^2*e
xp(5) - 50*x^3*exp(5)))/(6*x^8 - 42*x^9 + 126*x^10 - 210*x^11 + 210*x^12 - 126*x^13 + 42*x^14 - 6*x^15)) + log
((4*x^2)/3)^5*(x*(x*(x*(x - 1)*(x*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*ex
p(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(
5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x - 1) + ((2*x + x
^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^6*(x -
1)^6))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) +
24*x^5*exp(5)))/(6*x^5*(x - 1)^5)) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5)
+ 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^4*(x - 1)^4))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x
^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^3*(x - 1)^3))*(x - 1) + ((2*x + x^3)*(148*x
*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^2*(x - 1)^2) - (
21*x^5*(2*x + x^3)^2*(x - 1)^5*(4*exp(5) - 23*x*exp(5) + 54*x^2*exp(5) - 50*x^3*exp(5)))/(6*x^8 - 42*x^9 + 126
*x^10 - 210*x^11 + 210*x^12 - 126*x^13 + 42*x^14 - 6*x^15)) - (5*(128*exp(5) - 896*x*exp(5) + 1344*x^2*exp(5)
+ 1984*x^3*exp(5) - 3064*x^4*exp(5) - 3816*x^5*exp(5) + 408*x^6*exp(5) + 1716*x^7*exp(5) + 360*x^8*exp(5) - 26
0*x^9*exp(5) - 106*x^10*exp(5) + 6*x^11*exp(5) + 8*x^12*exp(5) + x^13*exp(5)))/(2*(x - 1)^7) + log((4*x^2)/3)^
4*((2*x + x^3)*(x*(x*(x - 1)*(x*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(
5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5)
- 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3
)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^6*(x - 1
)^6))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24
*x^5*exp(5)))/(6*x^5*(x - 1)^5)) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) +
262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^4*(x - 1)^4))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2
*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^3*(x - 1)^3)) + x*((2*x + x^3)*(x*(x - 1)*(x*
(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp
(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(
5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 37
9*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^6*(x - 1)^6))*(x - 1) + ((2*x + x^3)*(14
8*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^5*(x - 1)^5))
+ ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))
/(6*x^4*(x - 1)^4)) + x*((2*x + x^3)*(x*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*
x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 2
4*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x - 1) + ((2
*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^
6*(x - 1)^6))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp
(5) + 24*x^5*exp(5)))/(6*x^5*(x - 1)^5)) + x*((2*x + x^3)*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184
*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)
*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)
^7))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*
x^5*exp(5)))/(6*x^6*(x - 1)^6)) + x*((2*x + x^3)*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5)
- 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(
5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)) - (288*
exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x^6*exp(
5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7))*(x - 1))*(x - 1))*(x - 1))*(x - 1) - (35*x^4*(2*x + x^3
)^3*(x - 1)^4*(4*exp(5) - 23*x*exp(5) + 54*x^2*exp(5) - 50*x^3*exp(5)))/(6*x^8 - 42*x^9 + 126*x^10 - 210*x^11
+ 210*x^12 - 126*x^13 + 42*x^14 - 6*x^15)) + log((4*x^2)/3)^6*((148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 28
4*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5))/(6*x*(x - 1)) - (7*x^6*(2*x + x^3)*(x - 1)^6*(4*exp(5) - 23*x*e
xp(5) + 54*x^2*exp(5) - 50*x^3*exp(5)))/(6*x^8 - 42*x^9 + 126*x^10 - 210*x^11 + 210*x^12 - 126*x^13 + 42*x^14
- 6*x^15)) + log((4*x^2)/3)^2*((2*x + x^3)*((2*x + x^3)*((2*x + x^3)*(x*(x*((32*exp(5) - 216*x*exp(5) + 544*x^
2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7)
+ ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/
(6*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^
4*exp(5) + 24*x^5*exp(5)))/(6*x^6*(x - 1)^6))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5
) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^5*(x - 1)^5)) + x*((2*x + x^3)*(x*((32*exp(5) - 216
*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/
(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5)
+ 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x
^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^6*(x - 1)^6)) + x*((2*x + x^3)*((32*exp(5) - 216*x*exp(5) +
544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x -
1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp
(5)))/(6*x^7*(x - 1)^7)) - (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*exp(5) - 13006*x^4*exp(5)
- 7824*x^5*exp(5) + 597*x^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7))*(x - 1))*(x - 1)) + x*(
((2*x + x^3)*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5)
+ 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) +
284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 2
4*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^6*(x - 1)^6)) + x*((2*x + x
^3)*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*ex
p(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp
(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)) - (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 34
58*x^3*exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x
- 1)^7))*(x - 1))*(2*x + x^3) + x*(((2*x + x^3)*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5)
- 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(
5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)) - (288*
exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x^6*exp(
5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7))*(2*x + x^3) + (512*exp(5) - 2784*x*exp(5) + 208*x^2*exp
(5) + 23032*x^3*exp(5) - 28780*x^4*exp(5) - 40500*x^5*exp(5) - 1764*x^6*exp(5) + 7096*x^7*exp(5) + 848*x^8*exp
(5) - 369*x^9*exp(5) - 30*x^10*exp(5) + 6*x^11*exp(5))/(6*x^4*(x - 1)^7))*(x - 1))*(x - 1)) + x*(x - 1)*((2*x
+ x^3)*(((2*x + x^3)*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^
5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*
exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(148*x*ex
p(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^6*(x - 1)^6)) + x*(
(2*x + x^3)*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 1
6*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284
*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)) - (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp
(5) + 3458*x^3*exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(
6*x^5*(x - 1)^7))*(x - 1))*(2*x + x^3) + x*(((2*x + x^3)*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3
*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(14
8*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))
- (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*
x^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7))*(2*x + x^3) + (512*exp(5) - 2784*x*exp(5) + 208
*x^2*exp(5) + 23032*x^3*exp(5) - 28780*x^4*exp(5) - 40500*x^5*exp(5) - 1764*x^6*exp(5) + 7096*x^7*exp(5) + 848
*x^8*exp(5) - 369*x^9*exp(5) - 30*x^10*exp(5) + 6*x^11*exp(5))/(6*x^4*(x - 1)^7))*(x - 1)) + x*((2*x + x^3)*((
(2*x + x^3)*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 1
6*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284
*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)) - (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp
(5) + 3458*x^3*exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(
6*x^5*(x - 1)^7))*(2*x + x^3) + (512*exp(5) - 2784*x*exp(5) + 208*x^2*exp(5) + 23032*x^3*exp(5) - 28780*x^4*ex
p(5) - 40500*x^5*exp(5) - 1764*x^6*exp(5) + 7096*x^7*exp(5) + 848*x^8*exp(5) - 369*x^9*exp(5) - 30*x^10*exp(5)
+ 6*x^11*exp(5))/(6*x^4*(x - 1)^7)) + (256*x*exp(5) - 384*exp(5) + 14656*x^2*exp(5) - 52432*x^3*exp(5) + 1773
6*x^4*exp(5) + 101100*x^5*exp(5) + 28164*x^6*exp(5) - 25488*x^7*exp(5) - 9876*x^8*exp(5) + 1944*x^9*exp(5) + 9
35*x^10*exp(5) - 40*x^11*exp(5) - 26*x^12*exp(5))/(6*x^3*(x - 1)^7))*(x - 1)) - (21*x^2*(2*x + x^3)^5*(x - 1)^
2*(4*exp(5) - 23*x*exp(5) + 54*x^2*exp(5) - 50*x^3*exp(5)))/(6*x^8 - 42*x^9 + 126*x^10 - 210*x^11 + 210*x^12 -
126*x^13 + 42*x^14 - 6*x^15)) + (2*x + x^3)*((2*x + x^3)*((2*x + x^3)*(((2*x + x^3)*((32*exp(5) - 216*x*exp(5
) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(
x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5
*exp(5)))/(6*x^7*(x - 1)^7)) - (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*exp(5) - 13006*x^4*exp
(5) - 7824*x^5*exp(5) + 597*x^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7))*(2*x + x^3) + (512*
exp(5) - 2784*x*exp(5) + 208*x^2*exp(5) + 23032*x^3*exp(5) - 28780*x^4*exp(5) - 40500*x^5*exp(5) - 1764*x^6*ex
p(5) + 7096*x^7*exp(5) + 848*x^8*exp(5) - 369*x^9*exp(5) - 30*x^10*exp(5) + 6*x^11*exp(5))/(6*x^4*(x - 1)^7))
+ (256*x*exp(5) - 384*exp(5) + 14656*x^2*exp(5) - 52432*x^3*exp(5) + 17736*x^4*exp(5) + 101100*x^5*exp(5) + 28
164*x^6*exp(5) - 25488*x^7*exp(5) - 9876*x^8*exp(5) + 1944*x^9*exp(5) + 935*x^10*exp(5) - 40*x^11*exp(5) - 26*
x^12*exp(5))/(6*x^3*(x - 1)^7)) + (5*(640*exp(5) - 4992*x*exp(5) + 10560*x^2*exp(5) + 5024*x^3*exp(5) - 22920*
x^4*exp(5) - 14784*x^5*exp(5) + 6084*x^6*exp(5) + 5988*x^7*exp(5) - 24*x^8*exp(5) - 820*x^9*exp(5) - 108*x^10*
exp(5) + 36*x^11*exp(5) + 7*x^12*exp(5)))/(6*x*(x - 1)^7)) + log((4*x^2)/3)*((2*x + x^3)*((2*x + x^3)*(((2*x +
x^3)*(x*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x
^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^
3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7))*(x - 1) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5
) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^6*(x - 1)^6)) + x*((2*x + x^3)*((3
2*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) +
4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 2
62*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)) - (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*
exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7
))*(x - 1))*(2*x + x^3) + x*(((2*x + x^3)*((32*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x
^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) + 4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24
*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 262*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)) - (288*exp(5)
- 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x^6*exp(5) + 64
0*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7))*(2*x + x^3) + (512*exp(5) - 2784*x*exp(5) + 208*x^2*exp(5) + 2
3032*x^3*exp(5) - 28780*x^4*exp(5) - 40500*x^5*exp(5) - 1764*x^6*exp(5) + 7096*x^7*exp(5) + 848*x^8*exp(5) - 3
69*x^9*exp(5) - 30*x^10*exp(5) + 6*x^11*exp(5))/(6*x^4*(x - 1)^7))*(x - 1)) + x*((2*x + x^3)*(((2*x + x^3)*((3
2*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) +
4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 2
62*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)) - (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*
exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7
))*(2*x + x^3) + (512*exp(5) - 2784*x*exp(5) + 208*x^2*exp(5) + 23032*x^3*exp(5) - 28780*x^4*exp(5) - 40500*x^
5*exp(5) - 1764*x^6*exp(5) + 7096*x^7*exp(5) + 848*x^8*exp(5) - 369*x^9*exp(5) - 30*x^10*exp(5) + 6*x^11*exp(5
))/(6*x^4*(x - 1)^7)) + (256*x*exp(5) - 384*exp(5) + 14656*x^2*exp(5) - 52432*x^3*exp(5) + 17736*x^4*exp(5) +
101100*x^5*exp(5) + 28164*x^6*exp(5) - 25488*x^7*exp(5) - 9876*x^8*exp(5) + 1944*x^9*exp(5) + 935*x^10*exp(5)
- 40*x^11*exp(5) - 26*x^12*exp(5))/(6*x^3*(x - 1)^7))*(x - 1)) + x*((2*x + x^3)*((2*x + x^3)*(((2*x + x^3)*((3
2*exp(5) - 216*x*exp(5) + 544*x^2*exp(5) - 184*x^3*exp(5) - 896*x^4*exp(5) - 245*x^5*exp(5) + 16*x^6*exp(5) +
4*x^7*exp(5))/(2*x^6*(x - 1)^7) + ((2*x + x^3)*(148*x*exp(5) - 24*exp(5) - 379*x^2*exp(5) + 284*x^3*exp(5) + 2
62*x^4*exp(5) + 24*x^5*exp(5)))/(6*x^7*(x - 1)^7)) - (288*exp(5) - 1920*x*exp(5) + 3600*x^2*exp(5) + 3458*x^3*
exp(5) - 13006*x^4*exp(5) - 7824*x^5*exp(5) + 597*x^6*exp(5) + 640*x^7*exp(5) - 8*x^9*exp(5))/(6*x^5*(x - 1)^7
))*(2*x + x^3) + (512*exp(5) - 2784*x*exp(5) + 208*x^2*exp(5) + 23032*x^3*exp(5) - 28780*x^4*exp(5) - 40500*x^
5*exp(5) - 1764*x^6*exp(5) + 7096*x^7*exp(5) + 848*x^8*exp(5) - 369*x^9*exp(5) - 30*x^10*exp(5) + 6*x^11*exp(5
))/(6*x^4*(x - 1)^7)) + (256*x*exp(5) - 384*exp(5) + 14656*x^2*exp(5) - 52432*x^3*exp(5) + 17736*x^4*exp(5) +
101100*x^5*exp(5) + 28164*x^6*exp(5) - 25488*x^7*exp(5) - 9876*x^8*exp(5) + 1944*x^9*exp(5) + 935*x^10*exp(5)
- 40*x^11*exp(5) - 26*x^12*exp(5))/(6*x^3*(x - 1)^7)) + (5*(640*exp(5) - 4992*x*exp(5) + 10560*x^2*exp(5) + 50
24*x^3*exp(5) - 22920*x^4*exp(5) - 14784*x^5*exp(5) + 6084*x^6*exp(5) + 5988*x^7*exp(5) - 24*x^8*exp(5) - 820*
x^9*exp(5) - 108*x^10*exp(5) + 36*x^11*exp(5) + 7*x^12*exp(5)))/(6*x*(x - 1)^7))*(x - 1) - (7*x*(2*x + x^3)^6*
(x - 1)*(4*exp(5) - 23*x*exp(5) + 54*x^2*exp(5) - 50*x^3*exp(5)))/(6*x^8 - 42*x^9 + 126*x^10 - 210*x^11 + 210*
x^12 - 126*x^13 + 42*x^14 - 6*x^15)) - ((2*x + x^3)^7*(4*exp(5) - 23*x*exp(5) + 54*x^2*exp(5) - 50*x^3*exp(5))
)/(6*x^8 - 42*x^9 + 126*x^10 - 210*x^11 + 210*x^12 - 126*x^13 + 42*x^14 - 6*x^15) - (x^7*log((4*x^2)/3)^7*(x -
1)^7*(4*exp(5) - 23*x*exp(5) + 54*x^2*exp(5) - 50*x^3*exp(5)))/(6*x^8 - 42*x^9 + 126*x^10 - 210*x^11 + 210*x^
12 - 126*x^13 + 42*x^14 - 6*x^15)))/(log((4*x^2)/3)^6*(217*x^2 - 84*x - 322*x^3 + 315*x^4 - 224*x^5 + 119*x^6
- 42*x^7 + 7*x^8 + 14) + log((4*x^2)/3)^5*(420*x - 924*x^2 + 1260*x^3 - 1281*x^4 + 1029*x^5 - 630*x^6 + 294*x^
7 - 105*x^8 + 21*x^9 - 84) + log((4*x^2)/3)^7*(7*x - 21*x^2 + 35*x^3 - 35*x^4 + 21*x^5 - 7*x^6 + x^7 - 1) + lo
g((4*x^2)/3)^4*(2100*x^2 - 1120*x - 2800*x^3 + 3010*x^4 - 2520*x^5 + 1715*x^6 - 980*x^7 + 420*x^8 - 140*x^9 +
35*x^10 + 280) + log((4*x^2)/3)^3*(1680*x - 2800*x^2 + 3920*x^3 - 4200*x^4 + 3640*x^5 - 2800*x^6 + 1680*x^7 -
875*x^8 + 385*x^9 - 105*x^10 + 35*x^11 - 560) + log((4*x^2)/3)*(448*x - 1344*x^2 + 1344*x^3 - 1680*x^4 + 1680*
x^5 - 1120*x^6 + 1120*x^7 - 420*x^8 + 420*x^9 - 84*x^10 + 84*x^11 - 7*x^12 + 7*x^13 - 448) + 448*x^2 + 672*x^4
+ 560*x^6 + 280*x^8 + 84*x^10 + 14*x^12 + x^14 + log((4*x^2)/3)^2*(2352*x^2 - 1344*x - 3360*x^3 + 3360*x^4 -
3360*x^5 + 2520*x^6 - 1680*x^7 + 1050*x^8 - 420*x^9 + 231*x^10 - 42*x^11 + 21*x^12 + 672) + 128) + (1920*exp(1
0) - 192*x*exp(5) - 18336*x*exp(10) + 576*x^2*exp(5) + 6000*x^3*exp(5) - 35424*x^4*exp(5) + 52492*x^5*exp(5) +
32648*x^6*exp(5) + 66012*x^2*exp(10) - 90900*x^7*exp(5) - 98752*x^3*exp(10) - 35996*x^8*exp(5) + 7996*x^4*exp
(10) + 22064*x^9*exp(5) + 101376*x^5*exp(10) + 7968*x^10*exp(5) + 6116*x^6*exp(10) - 1421*x^11*exp(5) - 22604*
x^7*exp(10) - 376*x^12*exp(5) - 2763*x^8*exp(10) + 36*x^13*exp(5) + 1436*x^9*exp(10) + 148*x^10*exp(10) - 24*x
^11*exp(10))/(12*x*(x - 1)^7*(2*x - 6*x^2 + x^4)*((x^2 + 2)^3 + log((4*x^2)/3)^3*(x - 1)^3 + 3*log((4*x^2)/3)*
(x^2 + 2)^2*(x - 1) + 3*log((4*x^2)/3)^2*(x^2 + 2)*(x - 1)^2)) - (4736*exp(10) - 47104*x*exp(10) - 2048*x^2*ex
p(5) + 19072*x^3*exp(5) - 54944*x^4*exp(5) + 4128*x^5*exp(5) + 209416*x^6*exp(5) + 172640*x^2*exp(10) - 150352
*x^7*exp(5) - 239600*x^3*exp(10) - 254032*x^8*exp(5) - 63128*x^4*exp(10) + 30524*x^9*exp(5) + 333592*x^5*exp(1
0) + 77636*x^10*exp(5) + 80236*x^6*exp(10) + 1894*x^11*exp(5) - 99884*x^7*exp(10) - 8786*x^12*exp(5) - 26792*x
^8*exp(10) - 476*x^13*exp(5) + 10556*x^9*exp(10) + 389*x^14*exp(5) + 2804*x^10*exp(10) + 10*x^15*exp(5) - 406*
x^11*exp(10) - 6*x^16*exp(5) - 81*x^12*exp(10) + 6*x^13*exp(10))/(12*x*(x - 1)^7*(2*x - 6*x^2 + x^4)*((x^2 + 2
)^4 + log((4*x^2)/3)^4*(x - 1)^4 + 6*log((4*x^2)/3)^2*(x^2 + 2)^2*(x - 1)^2 + 4*log((4*x^2)/3)*(x^2 + 2)^3*(x
- 1) + 4*log((4*x^2)/3)^3*(x^2 + 2)*(x - 1)^3)) - (5*(1664*exp(10) - 16896*x*exp(10) - 1280*x^3*exp(5) + 13824
*x^4*exp(5) - 51072*x^5*exp(5) + 52672*x^6*exp(5) + 57792*x^2*exp(10) + 80976*x^7*exp(5) - 50752*x^3*exp(10) -
118512*x^8*exp(5) - 96120*x^4*exp(10) - 105896*x^9*exp(5) + 116256*x^5*exp(10) + 47448*x^10*exp(5) + 118568*x
^6*exp(10) + 50760*x^11*exp(5) - 43524*x^7*exp(10) - 4588*x^12*exp(5) - 54828*x^8*exp(10) - 10692*x^13*exp(5)
+ 2728*x^9*exp(10) - 696*x^14*exp(5) + 11154*x^10*exp(10) + 1022*x^15*exp(5) + 1032*x^11*exp(10) + 150*x^16*ex
p(5) - 1016*x^12*exp(10) - 36*x^17*exp(5) - 171*x^13*exp(10) - 7*x^18*exp(5) + 33*x^14*exp(10) + 7*x^15*exp(10
)))/(12*x*(x - 1)^7*(2*x - 6*x^2 + x^4)*((x^2 + 2)^6 + log((4*x^2)/3)^6*(x - 1)^6 + 15*log((4*x^2)/3)^2*(x^2 +
2)^4*(x - 1)^2 + 20*log((4*x^2)/3)^3*(x^2 + 2)^3*(x - 1)^3 + 15*log((4*x^2)/3)^4*(x^2 + 2)^2*(x - 1)^4 + 6*lo
g((4*x^2)/3)*(x^2 + 2)^5*(x - 1) + 6*log((4*x^2)/3)^5*(x^2 + 2)*(x - 1)^5)) + (128*exp(10) - 96*x*exp(5) - 107
8*x*exp(10) + 792*x^2*exp(5) - 2248*x^3*exp(5) + 1834*x^4*exp(5) + 2254*x^5*exp(5) - 3180*x^6*exp(5) + 3446*x^
2*exp(10) - 943*x^7*exp(5) - 4976*x^3*exp(10) + 512*x^8*exp(5) + 2017*x^4*exp(10) + 130*x^9*exp(5) + 2122*x^5*
exp(10) - 474*x^6*exp(10) - 240*x^7*exp(10))/(12*x*(x - 1)^7*(x^2 + log((4*x^2)/3)*(x - 1) + 2)*(2*x - 6*x^2 +
x^4)) + (64*x*exp(5) - 192*exp(10) + 1728*x*exp(10) - 480*x^2*exp(5) + 864*x^3*exp(5) + 1744*x^4*exp(5) - 680
8*x^5*exp(5) + 2872*x^6*exp(5) - 5914*x^2*exp(10) + 5822*x^7*exp(5) + 8888*x^3*exp(10) - 222*x^8*exp(5) - 2536
*x^4*exp(10) - 952*x^9*exp(5) - 6275*x^5*exp(10) - 85*x^10*exp(5) + 433*x^6*exp(10) + 16*x^11*exp(5) + 1003*x^
7*exp(10) + 54*x^8*exp(10) - 24*x^9*exp(10))/(4*x*(x - 1)^7*(2*x - 6*x^2 + x^4)*((x^2 + 2)^2 + log((4*x^2)/3)^
2*(x - 1)^2 + 2*log((4*x^2)/3)*(x^2 + 2)*(x - 1))) + (5*(256*exp(10) - 2560*x*exp(10) - 256*x^3*exp(5) + 2560*
x^4*exp(5) - 8064*x^5*exp(5) + 3968*x^6*exp(5) + 8064*x^2*exp(10) + 18928*x^7*exp(5) - 3968*x^3*exp(10) - 1209
6*x^8*exp(5) - 18928*x^4*exp(10) - 25696*x^9*exp(5) + 12096*x^5*exp(10) + 2080*x^10*exp(5) + 25696*x^6*exp(10)
+ 13392*x^11*exp(5) - 2080*x^7*exp(10) + 2272*x^12*exp(5) - 13392*x^8*exp(10) - 3064*x^13*exp(5) - 2272*x^9*e
xp(10) - 1008*x^14*exp(5) + 3064*x^10*exp(10) + 280*x^15*exp(5) + 1008*x^11*exp(10) + 152*x^16*exp(5) - 280*x^
12*exp(10) - 152*x^13*exp(10) - 8*x^18*exp(5) - x^19*exp(5) + 8*x^15*exp(10) + x^16*exp(10)))/(4*x*(x - 1)^7*(
2*x - 6*x^2 + x^4)*((x^2 + 2)^7 + log((4*x^2)/3)^7*(x - 1)^7 + 21*log((4*x^2)/3)^2*(x^2 + 2)^5*(x - 1)^2 + 35*
log((4*x^2)/3)^3*(x^2 + 2)^4*(x - 1)^3 + 35*log((4*x^2)/3)^4*(x^2 + 2)^3*(x - 1)^4 + 21*log((4*x^2)/3)^5*(x^2
+ 2)^2*(x - 1)^5 + 7*log((4*x^2)/3)*(x^2 + 2)^6*(x - 1) + 7*log((4*x^2)/3)^6*(x^2 + 2)*(x - 1)^6)) - (81856*x*
exp(10) - 8064*exp(10) + 1536*x^2*exp(5) - 10112*x^3*exp(5) - 4544*x^4*exp(5) + 171968*x^5*exp(5) - 373840*x^6
*exp(5) - 294848*x^2*exp(10) - 72904*x^7*exp(5) + 347568*x^3*exp(10) + 613792*x^8*exp(5) + 289880*x^4*exp(10)
+ 179184*x^9*exp(5) - 627184*x^5*exp(10) - 238740*x^10*exp(5) - 329496*x^6*exp(10) - 84660*x^11*exp(5) + 22971
6*x^7*exp(10) + 36602*x^12*exp(5) + 128556*x^8*exp(10) + 14654*x^13*exp(5) - 29850*x^9*exp(10) - 2336*x^14*exp
(5) - 20206*x^10*exp(10) - 1043*x^15*exp(5) + 1160*x^11*exp(10) + 52*x^16*exp(5) + 1293*x^12*exp(10) + 26*x^17
*exp(5) + 10*x^13*exp(10) - 26*x^14*exp(10))/(12*x*(x - 1)^7*(2*x - 6*x^2 + x^4)*((x^2 + 2)^5 + log((4*x^2)/3)
^5*(x - 1)^5 + 10*log((4*x^2)/3)^2*(x^2 + 2)^3*(x - 1)^2 + 10*log((4*x^2)/3)^3*(x^2 + 2)^2*(x - 1)^3 + 5*log((
4*x^2)/3)*(x^2 + 2)^4*(x - 1) + 5*log((4*x^2)/3)^4*(x^2 + 2)*(x - 1)^4))

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sympy [B]  time = 3.01, size = 146, normalized size = 4.06 \begin {gather*} \frac {- 2 x^{3} e^{5} + 4 x^{2} e^{5} \log {\left (\frac {2 x}{x + \log {\left (\frac {4 x^{2}}{3} \right )}} \right )} - 2 x e^{5} \log {\left (\frac {2 x}{x + \log {\left (\frac {4 x^{2}}{3} \right )}} \right )}^{2} + e^{10}}{x^{6} - 4 x^{5} \log {\left (\frac {2 x}{x + \log {\left (\frac {4 x^{2}}{3} \right )}} \right )} + 6 x^{4} \log {\left (\frac {2 x}{x + \log {\left (\frac {4 x^{2}}{3} \right )}} \right )}^{2} - 4 x^{3} \log {\left (\frac {2 x}{x + \log {\left (\frac {4 x^{2}}{3} \right )}} \right )}^{3} + x^{2} \log {\left (\frac {2 x}{x + \log {\left (\frac {4 x^{2}}{3} \right )}} \right )}^{4}} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((2*x*exp(5)*ln(4/3*x**2)+2*x**2*exp(5))*ln(2*x/(ln(4/3*x**2)+x))**3+((-10*x**2+4*x)*exp(5)*ln(4/3*x
**2)+(-10*x**3-8*x)*exp(5))*ln(2*x/(ln(4/3*x**2)+x))**2+((-2*exp(5)**2+(14*x**3-8*x**2)*exp(5))*ln(4/3*x**2)-2
*x*exp(5)**2+(14*x**4+16*x**2)*exp(5))*ln(2*x/(ln(4/3*x**2)+x))+((6*x-4)*exp(5)**2+(-6*x**4+4*x**3)*exp(5))*ln
(4/3*x**2)+(6*x**2+8)*exp(5)**2+(-6*x**5-8*x**3)*exp(5))/((x**3*ln(4/3*x**2)+x**4)*ln(2*x/(ln(4/3*x**2)+x))**5
+(-5*x**4*ln(4/3*x**2)-5*x**5)*ln(2*x/(ln(4/3*x**2)+x))**4+(10*x**5*ln(4/3*x**2)+10*x**6)*ln(2*x/(ln(4/3*x**2)
+x))**3+(-10*x**6*ln(4/3*x**2)-10*x**7)*ln(2*x/(ln(4/3*x**2)+x))**2+(5*x**7*ln(4/3*x**2)+5*x**8)*ln(2*x/(ln(4/
3*x**2)+x))-x**8*ln(4/3*x**2)-x**9),x)

[Out]

(-2*x**3*exp(5) + 4*x**2*exp(5)*log(2*x/(x + log(4*x**2/3))) - 2*x*exp(5)*log(2*x/(x + log(4*x**2/3)))**2 + ex
p(10))/(x**6 - 4*x**5*log(2*x/(x + log(4*x**2/3))) + 6*x**4*log(2*x/(x + log(4*x**2/3)))**2 - 4*x**3*log(2*x/(
x + log(4*x**2/3)))**3 + x**2*log(2*x/(x + log(4*x**2/3)))**4)

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