∫ −16x+(32x2+8exx2) log2(x)+e2e2x−10x ___________x (8x+e2x(−16+32x) log(x)+(−16x2−4exx2+e2x(−32x+64x2+ex(−8+16x))) log2(x))_________________________________________________________________________________________ 4x2 log2(x)−4e2e2x−10x ___________x x2 log2(x)+e2(2e2x−10x) ________________

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

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Rubi [F] time = 15.24, 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 {-16 x+\left (32 x^2+8 e^x x^2\right ) \log ^2(x)+e^{\frac {2 e^{2 x}-10 x}{x}} \left (8 x+e^{2 x} (-16+32 x) \log (x)+\left (-16 x^2-4 e^x x^2+e^{2 x} \left (-32 x+64 x^2+e^x (-8+16 x)\right )\right ) \log ^2(x)\right )}{4 x^2 \log ^2(x)-4 e^{\frac {2 e^{2 x}-10 x}{x}} x^2 \log ^2(x)+e^{\frac {2 \left (2 e^{2 x}-10 x\right )}{x}} x^2 \log ^2(x)} \, dx \end {gather*}

Int[(-16*x + (32*x^2 + 8*E^x*x^2)*Log[x]^2 + E^((2*E^(2*x) - 10*x)/x)*(8*x + E^(2*x)*(-16 + 32*x)*Log[x] + (-1

6*x^2 - 4*E^x*x^2 + E^(2*x)*(-32*x + 64*x^2 + E^x*(-8 + 16*x)))*Log[x]^2))/(4*x^2*Log[x]^2 - 4*E^((2*E^(2*x) -

10*x)/x)*x^2*Log[x]^2 + E^((2*(2*E^(2*x) - 10*x))/x)*x^2*Log[x]^2),x]

-16*E^20*Defer[Int][E^((2*(E^(2*x) - 5*x))/x)/(2*E^10 - E^((2*E^(2*x))/x))^2, x] + 4*E^20*Defer[Int][E^(-10 +

x)/(2*E^10 - E^((2*E^(2*x))/x)), x] + 32*E^20*Defer[Int][(-2*E^10 + E^((2*E^(2*x))/x))^(-2), x] + 64*E^20*Defe

r[Int][E^((2*(E^(2*x) - 5*x + x^2))/x)/(-2*E^10 + E^((2*E^(2*x))/x))^2, x] - 8*E^20*Defer[Int][E^(-10 + (2*E^(

2*x))/x + 3*x)/((-2*E^10 + E^((2*E^(2*x))/x))^2*x^2), x] + 16*E^20*Defer[Int][E^(-10 + (2*E^(2*x))/x + 3*x)/((

-2*E^10 + E^((2*E^(2*x))/x))^2*x), x] - 32*E^20*Defer[Int][E^((2*(E^(2*x) - 5*x + x^2))/x)/((-2*E^10 + E^((2*E

^(2*x))/x))^2*x), x] + 8*E^20*Defer[Int][E^((2*(E^(2*x) - 5*x))/x)/((2*E^10 - E^((2*E^(2*x))/x))^2*x*Log[x]^2)

, x] - 16*E^20*Defer[Int][1/((-2*E^10 + E^((2*E^(2*x))/x))^2*x*Log[x]^2), x] - 16*E^20*Defer[Int][E^((2*(E^(2*

x) - 5*x + x^2))/x)/((-2*E^10 + E^((2*E^(2*x))/x))^2*x^2*Log[x]), x] + 32*E^20*Defer[Int][E^((2*(E^(2*x) - 5*x

+ x^2))/x)/((-2*E^10 + E^((2*E^(2*x))/x))^2*x*Log[x]), x]

\begin {gather*} \begin {aligned} \text {integral} &=\int \frac {e^{20} \left (-16 x+\left (32 x^2+8 e^x x^2\right ) \log ^2(x)+e^{\frac {2 e^{2 x}-10 x}{x}} \left (8 x+e^{2 x} (-16+32 x) \log (x)+\left (-16 x^2-4 e^x x^2+e^{2 x} \left (-32 x+64 x^2+e^x (-8+16 x)\right )\right ) \log ^2(x)\right )\right )}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2 \log ^2(x)} \, dx\\ &=e^{20} \int \frac {-16 x+\left (32 x^2+8 e^x x^2\right ) \log ^2(x)+e^{\frac {2 e^{2 x}-10 x}{x}} \left (8 x+e^{2 x} (-16+32 x) \log (x)+\left (-16 x^2-4 e^x x^2+e^{2 x} \left (-32 x+64 x^2+e^x (-8+16 x)\right )\right ) \log ^2(x)\right )}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2 \log ^2(x)} \, dx\\ &=e^{20} \int \left (-\frac {16 e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2}+\frac {4 e^{-10+x}}{2 e^{10}-e^{\frac {2 e^{2 x}}{x}}}+\frac {32}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2}+\frac {8 e^{-10+\frac {2 e^{2 x}}{x}+3 x} (-1+2 x)}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2}+\frac {8 e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)}-\frac {16}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)}+\frac {16 e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}} (1-2 x) (-1-2 x \log (x))}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2 \log (x)}\right ) \, dx\\ &=\left (4 e^{20}\right ) \int \frac {e^{-10+x}}{2 e^{10}-e^{\frac {2 e^{2 x}}{x}}} \, dx+\left (8 e^{20}\right ) \int \frac {e^{-10+\frac {2 e^{2 x}}{x}+3 x} (-1+2 x)}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2} \, dx+\left (8 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)} \, dx-\left (16 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2} \, dx-\left (16 e^{20}\right ) \int \frac {1}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)} \, dx+\left (16 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}} (1-2 x) (-1-2 x \log (x))}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2 \log (x)} \, dx+\left (32 e^{20}\right ) \int \frac {1}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2} \, dx\\ &=\left (4 e^{20}\right ) \int \frac {e^{-10+x}}{2 e^{10}-e^{\frac {2 e^{2 x}}{x}}} \, dx+\left (8 e^{20}\right ) \int \left (-\frac {e^{-10+\frac {2 e^{2 x}}{x}+3 x}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2}+\frac {2 e^{-10+\frac {2 e^{2 x}}{x}+3 x}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x}\right ) \, dx+\left (8 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)} \, dx-\left (16 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2} \, dx-\left (16 e^{20}\right ) \int \frac {1}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)} \, dx+\left (16 e^{20}\right ) \int \left (-\frac {e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}} (1+2 x \log (x))}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2 \log (x)}+\frac {2 e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}} (1+2 x \log (x))}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log (x)}\right ) \, dx+\left (32 e^{20}\right ) \int \frac {1}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2} \, dx\\ &=\left (4 e^{20}\right ) \int \frac {e^{-10+x}}{2 e^{10}-e^{\frac {2 e^{2 x}}{x}}} \, dx-\left (8 e^{20}\right ) \int \frac {e^{-10+\frac {2 e^{2 x}}{x}+3 x}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2} \, dx+\left (8 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)} \, dx-\left (16 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2} \, dx+\left (16 e^{20}\right ) \int \frac {e^{-10+\frac {2 e^{2 x}}{x}+3 x}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x} \, dx-\left (16 e^{20}\right ) \int \frac {1}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)} \, dx-\left (16 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}} (1+2 x \log (x))}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2 \log (x)} \, dx+\left (32 e^{20}\right ) \int \frac {1}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2} \, dx+\left (32 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}} (1+2 x \log (x))}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log (x)} \, dx\\ &=\left (4 e^{20}\right ) \int \frac {e^{-10+x}}{2 e^{10}-e^{\frac {2 e^{2 x}}{x}}} \, dx-\left (8 e^{20}\right ) \int \frac {e^{-10+\frac {2 e^{2 x}}{x}+3 x}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2} \, dx+\left (8 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)} \, dx-\left (16 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2} \, dx+\left (16 e^{20}\right ) \int \frac {e^{-10+\frac {2 e^{2 x}}{x}+3 x}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x} \, dx-\left (16 e^{20}\right ) \int \left (\frac {2 e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x}+\frac {e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2 \log (x)}\right ) \, dx-\left (16 e^{20}\right ) \int \frac {1}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)} \, dx+\left (32 e^{20}\right ) \int \frac {1}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2} \, dx+\left (32 e^{20}\right ) \int \left (\frac {2 e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2}+\frac {e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log (x)}\right ) \, dx\\ &=\left (4 e^{20}\right ) \int \frac {e^{-10+x}}{2 e^{10}-e^{\frac {2 e^{2 x}}{x}}} \, dx-\left (8 e^{20}\right ) \int \frac {e^{-10+\frac {2 e^{2 x}}{x}+3 x}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2} \, dx+\left (8 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)} \, dx-\left (16 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x\right )}{x}}}{\left (2 e^{10}-e^{\frac {2 e^{2 x}}{x}}\right )^2} \, dx+\left (16 e^{20}\right ) \int \frac {e^{-10+\frac {2 e^{2 x}}{x}+3 x}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x} \, dx-\left (16 e^{20}\right ) \int \frac {1}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log ^2(x)} \, dx-\left (16 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x^2 \log (x)} \, dx+\left (32 e^{20}\right ) \int \frac {1}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2} \, dx-\left (32 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x} \, dx+\left (32 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2 x \log (x)} \, dx+\left (64 e^{20}\right ) \int \frac {e^{\frac {2 \left (e^{2 x}-5 x+x^2\right )}{x}}}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right )^2} \, dx\\ \end {aligned} \end {gather*}

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Mathematica [A] time = 0.37, size = 42, normalized size = 1.17 \begin {gather*} -\frac {4 e^{10} \left (2+e^x \log (x)+4 x \log (x)\right )}{\left (-2 e^{10}+e^{\frac {2 e^{2 x}}{x}}\right ) \log (x)} \end {gather*}

Integrate[(-16*x + (32*x^2 + 8*E^x*x^2)*Log[x]^2 + E^((2*E^(2*x) - 10*x)/x)*(8*x + E^(2*x)*(-16 + 32*x)*Log[x]

+ (-16*x^2 - 4*E^x*x^2 + E^(2*x)*(-32*x + 64*x^2 + E^x*(-8 + 16*x)))*Log[x]^2))/(4*x^2*Log[x]^2 - 4*E^((2*E^(

2*x) - 10*x)/x)*x^2*Log[x]^2 + E^((2*(2*E^(2*x) - 10*x))/x)*x^2*Log[x]^2),x]

(-4*E^10*(2 + E^x*Log[x] + 4*x*Log[x]))/((-2*E^10 + E^((2*E^(2*x))/x))*Log[x])

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fricas [A] time = 0.74, size = 39, normalized size = 1.08 \begin {gather*} -\frac {4 \, {\left ({\left (4 \, x + e^{x}\right )} \log \relax (x) + 2\right )}}{e^{\left (-\frac {2 \, {\left (5 \, x - e^{\left (2 \, x\right )}\right )}}{x}\right )} \log \relax (x) - 2 \, \log \relax (x)} \end {gather*}

integrate((((((16*x-8)*exp(x)+64*x^2-32*x)*exp(2*x)-4*exp(x)*x^2-16*x^2)*log(x)^2+(32*x-16)*exp(2*x)*log(x)+8*

x)*exp((2*exp(2*x)-10*x)/x)+(8*exp(x)*x^2+32*x^2)*log(x)^2-16*x)/(x^2*log(x)^2*exp((2*exp(2*x)-10*x)/x)^2-4*x^

2*log(x)^2*exp((2*exp(2*x)-10*x)/x)+4*x^2*log(x)^2),x, algorithm="fricas")

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

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giac [B] time = 0.35, size = 8877, normalized size = 246.58 result too large to display

integrate((((((16*x-8)*exp(x)+64*x^2-32*x)*exp(2*x)-4*exp(x)*x^2-16*x^2)*log(x)^2+(32*x-16)*exp(2*x)*log(x)+8*

x)*exp((2*exp(2*x)-10*x)/x)+(8*exp(x)*x^2+32*x^2)*log(x)^2-16*x)/(x^2*log(x)^2*exp((2*exp(2*x)-10*x)/x)^2-4*x^

2*log(x)^2*exp((2*exp(2*x)-10*x)/x)+4*x^2*log(x)^2),x, algorithm="giac")

2*(64*x^2*e^(8*x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 30)*log(x)^2 - 128*x^2*e^(8*x - 2*(5*x - e^(2*x))/x + 4

0)*log(x)^2 - 128*x^2*e^(8*x + 2*e^(2*x)/x + 30)*log(x)^2 + 256*x^2*e^(8*x + 40)*log(x)^2 - 32*x^2*e^(7*x + (x

^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 + 64*x^2*e^(7*x + (x^2 + 2*e^(2*x))/x - 2

*(5*x - e^(2*x))/x + 30)*log(x)^2 + 64*x^2*e^(7*x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 - 128*x^2

*e^(7*x + (x^2 + 2*e^(2*x))/x + 30)*log(x)^2 - 4*x^2*e^(7*x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 30)*log(x)^2

+ 8*x^2*e^(7*x - 2*(5*x - e^(2*x))/x + 40)*log(x)^2 + 4*x^2*e^(6*x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*

log(x)^2 - 8*x^2*e^(6*x + (x^2 + 2*e^(2*x))/x + 30)*log(x)^2 + 32*x^2*e^(6*x - 2*(5*x - e^(2*x))/x + 40)*log(x

)^2 - 32*x^2*e^(6*x + 2*e^(2*x)/x + 30)*log(x)^2 - 32*x^2*e^(5*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x

+ 2*e^(2*x)/x + 20)*log(x)^2 + 64*x^2*e^(5*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 + 6

4*x^2*e^(5*x + (3*x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 - 128*x^2*e^(5*x + (3*x^2 + 2*e^(2*x))/x + 3

0)*log(x)^2 - 16*x^2*e^(5*x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 + 16*x^2*e^(5*x + (x^2

+ 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 + 2*x^2*e^(5*x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(

2*x)/x + 20)*log(x)^2 - 4*x^2*e^(5*x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 + 16*x^2*e^(4*

x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 - 32*x^2*e^

(4*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2 - 32*x^2*e^(4*x + (3*x

^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 + 64*x^2*e^(4*x + (3*x^2 + 2*e^(2*x))/x +

(x^2 + 2*e^(2*x))/x + 20)*log(x)^2 + 2*x^2*e^(4*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x

+ 20)*log(x)^2 - 4*x^2*e^(4*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 - 2*x^2*e^(4*x + (

x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 + 4*x^2*e^(4*x + (x^2 + 2*e^(2*x))/x + 2

*(x^2 + e^(2*x))/x + 20)*log(x)^2 - 16*x^2*e^(4*x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 +

16*x^2*e^(4*x + 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 - 2*x^2*e^(3*x + (3*x^2 + 2*e^(2*x))/x + (x^

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

0)*log(x)^2 - 16*x^2*e^(3*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 + 16*x^2*e^(3*x + (3*

x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 + 8*x^2*e^(3*x + (x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x - 2

*(5*x - e^(2*x))/x + 20)*log(x)^2 - 8*x^2*e^(3*x + (x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/x + 1

0)*log(x)^2 + 8*x^2*e^(2*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2

- 8*x^2*e^(2*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 - x^2*e^(2*x + (3*x^

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

x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2 + x^2*e^(x + (3*x^2 + 2*e^(2*x))

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

(x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 10)*log(x)^2 + 8*x^2*e^(x + (3*x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*

x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2 - 8*x^2*e^(x + (3*x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 2*e^(2

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

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

*x)/x)*log(x)^2 + 16*x*e^(9*x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 30)*log(x)^2 - 32*x*e^(9*x - 2*(5*x - e^(2

*x))/x + 40)*log(x)^2 - 32*x*e^(9*x + 2*e^(2*x)/x + 30)*log(x)^2 + 64*x*e^(9*x + 40)*log(x)^2 - 8*x*e^(8*x + (

x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 + 16*x*e^(8*x + (x^2 + 2*e^(2*x))/x - 2*

(5*x - e^(2*x))/x + 30)*log(x)^2 + 16*x*e^(8*x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 - 32*x*e^(8*

x + (x^2 + 2*e^(2*x))/x + 30)*log(x)^2 - 32*x*e^(8*x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 30)*log(x)^2 + 64*x

*e^(8*x - 2*(5*x - e^(2*x))/x + 40)*log(x)^2 + 64*x*e^(8*x + 2*e^(2*x)/x + 30)*log(x)^2 - 128*x*e^(8*x + 40)*l

og(x)^2 + 16*x*e^(7*x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 - 32*x*e^(7*x +

(x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 - 32*x*e^(7*x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x +

20)*log(x)^2 + 64*x*e^(7*x + (x^2 + 2*e^(2*x))/x + 30)*log(x)^2 - 8*x*e^(7*x + 2*(x^2 + e^(2*x))/x - 2*(5*x -

e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 + 16*x*e^(7*x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)

^2 + 16*x*e^(7*x + 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 - 32*x*e^(7*x + 2*(x^2 + e^(2*x))/x + 30)*

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

g(x)^2 - 8*x*e^(6*x + (x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2 - 8*x*e^(

6*x + (x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 + 16*x*e^(6*x + (x^2 + 2*e^(2*x))

/x + 2*(x^2 + e^(2*x))/x + 20)*log(x)^2 + 16*x*e^(5*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x

)/x + 20)*log(x)^2 - 32*x*e^(5*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 - 32*x*e^(5*x +

(3*x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 + 64*x*e^(5*x + (3*x^2 + 2*e^(2*x))/x + 30)*log(x)^2 - 8*x*

e^(4*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 + 16*x

*e^(4*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2 + 16*x*e^(4*x + (3*

x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 - 32*x*e^(4*x + (3*x^2 + 2*e^(2*x))/x +

(x^2 + 2*e^(2*x))/x + 20)*log(x)^2 + 32*x*e^(8*x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 30)*log(x) - 64*x*e^(8*

x - 2*(5*x - e^(2*x))/x + 40)*log(x) - 64*x*e^(8*x + 2*e^(2*x)/x + 30)*log(x) + 128*x*e^(8*x + 40)*log(x) - 16

*x*e^(7*x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x) + 32*x*e^(7*x + (x^2 + 2*e^(2

*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x) + 32*x*e^(7*x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x) - 64*

x*e^(7*x + (x^2 + 2*e^(2*x))/x + 30)*log(x) - 16*x*e^(5*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^

(2*x)/x + 20)*log(x) + 32*x*e^(5*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x) + 32*x*e^(5*x +

(3*x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x) - 64*x*e^(5*x + (3*x^2 + 2*e^(2*x))/x + 30)*log(x) + 8*x*e^(4

*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x) - 16*x*e^(4*

x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x) - 16*x*e^(4*x + (3*x^2 + 2*

e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x) + 32*x*e^(4*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e

^(2*x))/x + 20)*log(x) - 8*e^(9*x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 30)*log(x)^2 + 16*e^(9*x - 2*(5*x - e^

(2*x))/x + 40)*log(x)^2 + 16*e^(9*x + 2*e^(2*x)/x + 30)*log(x)^2 - 32*e^(9*x + 40)*log(x)^2 + 4*e^(8*x + (x^2

+ 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 - 8*e^(8*x + (x^2 + 2*e^(2*x))/x - 2*(5*x -

e^(2*x))/x + 30)*log(x)^2 - 8*e^(8*x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 + 16*e^(8*x + (x^2 + 2

*e^(2*x))/x + 30)*log(x)^2 + 4*e^(7*x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2

- 8*e^(7*x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 - 8*e^(7*x + 2*(x^2 + e^(2*x))/x + 2*e^

(2*x)/x + 20)*log(x)^2 + 16*e^(7*x + 2*(x^2 + e^(2*x))/x + 30)*log(x)^2 - 2*e^(6*x + (x^2 + 2*e^(2*x))/x + 2*(

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

+ e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2 + 4*e^(6*x + (x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 2*e

^(2*x)/x + 10)*log(x)^2 - 8*e^(6*x + (x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 20)*log(x)^2 - 16*x*e^(6*x -

2*(5*x - e^(2*x))/x + 40) + 16*x*e^(6*x + 2*e^(2*x)/x + 30) + 8*x*e^(5*x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2

*x))/x + 30) - 8*x*e^(5*x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20) + 8*x*e^(4*x + 2*(x^2 + e^(2*x))/x - 2*(5*

x - e^(2*x))/x + 30) - 8*x*e^(4*x + 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/x + 20) + 8*x*e^(3*x + (3*x^2 + 2*e^(2*x))

/x - 2*(5*x - e^(2*x))/x + 30) - 8*x*e^(3*x + (3*x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20) - 4*x*e^(3*x + (x^2 +

2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20) + 4*x*e^(3*x + (x^2 + 2*e^(2*x))/x + 2*(x^2 + e

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

+ 20) + 4*x*e^(2*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 10) - 4*x*e^(x + (3*x^2 + 2*

e^(2*x))/x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20) + 4*x*e^(x + (3*x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(

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

x - e^(2*x))/x + 10) - 2*x*e^((3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/x)

- 16*e^(8*x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 30)*log(x) + 32*e^(8*x - 2*(5*x - e^(2*x))/x + 40)*log(x) +

32*e^(8*x + 2*e^(2*x)/x + 30)*log(x) - 64*e^(8*x + 40)*log(x) + 8*e^(7*x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(

2*x))/x + 2*e^(2*x)/x + 20)*log(x) - 16*e^(7*x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x) - 16*e

^(7*x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x) + 32*e^(7*x + (x^2 + 2*e^(2*x))/x + 30)*log(x) + 8*e^(5

*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x) - 16*e^(5*x + (3*x^2 + 2*e^(2*x))/

x - 2*(5*x - e^(2*x))/x + 30)*log(x) - 16*e^(5*x + (3*x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x) + 32*e^(5*

x + (3*x^2 + 2*e^(2*x))/x + 30)*log(x) - 4*e^(4*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(

2*x))/x + 2*e^(2*x)/x + 10)*log(x) + 8*e^(4*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x)

)/x + 20)*log(x) + 8*e^(4*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x) - 16*e^(4

*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 20)*log(x))/(16*x*e^(8*x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/

x + 30)*log(x)^2 - 32*x*e^(8*x - 2*(5*x - e^(2*x))/x + 40)*log(x)^2 - 32*x*e^(8*x + 2*e^(2*x)/x + 30)*log(x)^2

+ 64*x*e^(8*x + 40)*log(x)^2 - 8*x*e^(7*x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 20)*log

(x)^2 + 16*x*e^(7*x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 + 16*x*e^(7*x + (x^2 + 2*e^(2*x

))/x + 2*e^(2*x)/x + 20)*log(x)^2 - 32*x*e^(7*x + (x^2 + 2*e^(2*x))/x + 30)*log(x)^2 - 8*x*e^(6*x + 2*(x^2 + e

^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 + 16*x*e^(6*x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^

(2*x))/x + 30)*log(x)^2 + 16*x*e^(6*x + 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 - 32*x*e^(6*x + 2*(x^

2 + e^(2*x))/x + 30)*log(x)^2 - 8*x*e^(5*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 20)*l

og(x)^2 + 16*x*e^(5*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 + 16*x*e^(5*x + (3*x^2 + 2*

e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 - 32*x*e^(5*x + (3*x^2 + 2*e^(2*x))/x + 30)*log(x)^2 + 4*x*e^(5*x + (x

^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 - 8*x*e^(5*x + (x^2

+ 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2 - 8*x*e^(5*x + (x^2 + 2*e^(2*x))/x

+ 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 + 16*x*e^(5*x + (x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x +

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

10)*log(x)^2 - 8*x*e^(4*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2

- 8*x*e^(4*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 + 16*x*e^(4*x + (3*x^2

+ 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 20)*log(x)^2 + 4*x*e^(3*x + (3*x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/

x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 - 8*x*e^(3*x + (3*x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/

x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2 - 8*x*e^(3*x + (3*x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/

x + 10)*log(x)^2 + 16*x*e^(3*x + (3*x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 20)*log(x)^2 - 2*x*e^(2*x + (3*

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

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

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

2 - 8*x*e^(2*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 10)*log(x)^2 - 8*e^(8*x -

2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 30)*log(x)^2 + 16*e^(8*x - 2*(5*x - e^(2*x))/x + 40)*log(x)^2 + 16*e^(8*x

+ 2*e^(2*x)/x + 30)*log(x)^2 - 32*e^(8*x + 40)*log(x)^2 + 4*e^(7*x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/

x + 2*e^(2*x)/x + 20)*log(x)^2 - 8*e^(7*x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 - 8*e^(7*

x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 + 16*e^(7*x + (x^2 + 2*e^(2*x))/x + 30)*log(x)^2 + 4*e^(6

*x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 - 8*e^(6*x + 2*(x^2 + e^(2*x))/x -

2*(5*x - e^(2*x))/x + 30)*log(x)^2 - 8*e^(6*x + 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 + 16*e^(6*x

+ 2*(x^2 + e^(2*x))/x + 30)*log(x)^2 + 4*e^(5*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 2*e^(2*x)/x +

20)*log(x)^2 - 8*e^(5*x + (3*x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 30)*log(x)^2 - 8*e^(5*x + (3*x^2 + 2*e

^(2*x))/x + 2*e^(2*x)/x + 20)*log(x)^2 + 16*e^(5*x + (3*x^2 + 2*e^(2*x))/x + 30)*log(x)^2 - 2*e^(5*x + (x^2 +

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

(2*x))/x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2 + 4*e^(5*x + (x^2 + 2*e^(2*x))/x + 2*(x^2

+ e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 - 8*e^(5*x + (x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 20)*log(x)^

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

+ 4*e^(4*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x - 2*(5*x - e^(2*x))/x + 20)*log(x)^2 + 4*e^(4*x + (3*

x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 - 8*e^(4*x + (3*x^2 + 2*e^(2*x))/x + (x^

2 + 2*e^(2*x))/x + 20)*log(x)^2 - 2*e^(3*x + (3*x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x - 2*(5*x - e^(2*x))/x

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

20)*log(x)^2 + 4*e^(3*x + (3*x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 2*e^(2*x)/x + 10)*log(x)^2 - 8*e^(3*x

+ (3*x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 20)*log(x)^2 + e^(2*x + (3*x^2 + 2*e^(2*x))/x + (x^2 + 2*e^(2

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

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

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

(x^2 + 2*e^(2*x))/x + 2*(x^2 + e^(2*x))/x + 10)*log(x)^2)

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method	result	size

risch	\(-\frac {4 \left (4 x \ln \relax (x )+{\mathrm e}^{x} \ln \relax (x )+2\right )}{\ln \relax (x ) \left ({\mathrm e}^{-\frac {2 \left (-{\mathrm e}^{2 x}+5 x \right )}{x}}-2\right )}\)	\(39\)

int((((((16*x-8)*exp(x)+64*x^2-32*x)*exp(2*x)-4*exp(x)*x^2-16*x^2)*ln(x)^2+(32*x-16)*exp(2*x)*ln(x)+8*x)*exp((

2*exp(2*x)-10*x)/x)+(8*exp(x)*x^2+32*x^2)*ln(x)^2-16*x)/(x^2*ln(x)^2*exp((2*exp(2*x)-10*x)/x)^2-4*x^2*ln(x)^2*

exp((2*exp(2*x)-10*x)/x)+4*x^2*ln(x)^2),x,method=_RETURNVERBOSE)

-4*(4*x*ln(x)+exp(x)*ln(x)+2)/ln(x)/(exp(-2*(-exp(2*x)+5*x)/x)-2)

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maxima [A] time = 0.45, size = 44, normalized size = 1.22 \begin {gather*} \frac {4 \, {\left (4 \, x e^{10} \log \relax (x) + e^{\left (x + 10\right )} \log \relax (x) + 2 \, e^{10}\right )}}{2 \, e^{10} \log \relax (x) - e^{\left (\frac {2 \, e^{\left (2 \, x\right )}}{x}\right )} \log \relax (x)} \end {gather*}

integrate((((((16*x-8)*exp(x)+64*x^2-32*x)*exp(2*x)-4*exp(x)*x^2-16*x^2)*log(x)^2+(32*x-16)*exp(2*x)*log(x)+8*

x)*exp((2*exp(2*x)-10*x)/x)+(8*exp(x)*x^2+32*x^2)*log(x)^2-16*x)/(x^2*log(x)^2*exp((2*exp(2*x)-10*x)/x)^2-4*x^

2*log(x)^2*exp((2*exp(2*x)-10*x)/x)+4*x^2*log(x)^2),x, algorithm="maxima")

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

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mupad [B] time = 4.23, size = 34, normalized size = 0.94 \begin {gather*} -\frac {4\,\left ({\mathrm {e}}^x\,\ln \relax (x)+4\,x\,\ln \relax (x)+2\right )}{\ln \relax (x)\,\left ({\mathrm {e}}^{\frac {2\,{\mathrm {e}}^{2\,x}}{x}-10}-2\right )} \end {gather*}

int((log(x)^2*(8*x^2*exp(x) + 32*x^2) - 16*x + exp(-(10*x - 2*exp(2*x))/x)*(8*x - log(x)^2*(4*x^2*exp(x) - exp

(2*x)*(exp(x)*(16*x - 8) - 32*x + 64*x^2) + 16*x^2) + exp(2*x)*log(x)*(32*x - 16)))/(4*x^2*log(x)^2 - 4*x^2*ex

p(-(10*x - 2*exp(2*x))/x)*log(x)^2 + x^2*exp(-(2*(10*x - 2*exp(2*x)))/x)*log(x)^2),x)

-(4*(exp(x)*log(x) + 4*x*log(x) + 2))/(log(x)*(exp((2*exp(2*x))/x - 10) - 2))

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sympy [A] time = 0.44, size = 39, normalized size = 1.08 \begin {gather*} \frac {- 16 x \log {\relax (x )} - 4 e^{x} \log {\relax (x )} - 8}{e^{\frac {- 10 x + 2 e^{2 x}}{x}} \log {\relax (x )} - 2 \log {\relax (x )}} \end {gather*}

integrate((((((16*x-8)*exp(x)+64*x**2-32*x)*exp(2*x)-4*exp(x)*x**2-16*x**2)*ln(x)**2+(32*x-16)*exp(2*x)*ln(x)+

8*x)*exp((2*exp(2*x)-10*x)/x)+(8*exp(x)*x**2+32*x**2)*ln(x)**2-16*x)/(x**2*ln(x)**2*exp((2*exp(2*x)-10*x)/x)**

2-4*x**2*ln(x)**2*exp((2*exp(2*x)-10*x)/x)+4*x**2*ln(x)**2),x)

(-16*x*log(x) - 4*exp(x)*log(x) - 8)/(exp((-10*x + 2*exp(2*x))/x)*log(x) - 2*log(x))

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