3.41.15 $\int \frac{-x^5+e^{2(2x-e^{25}x+x^2-x\log (x))}(-4+2x-2e^{25}x+4x^2-2x\log (x))+e^{\frac{3}{2}(2x-e^{25}x+x^2-x\log (x))}(-12x+6x^2-6e^{25}{x}^2+12x^3-6x^2\log (x))+e^{2x-e^{25}x+x^2-x\log (x)}(-12x^2+6x^3-6e^{25}{x}^3+12x^4-6x^3\log (x))+e^{\frac{1}{2}(2x-e^{25}x+x^2-x\log (x))}(-4x^3+2x^4-2e^{25}{x}^4+4x^5-2x^4\log (x))}{x^5}dx$

Optimal. Leaf size=31 $$-x+\frac{{(e^{\frac{1}{2}x(2-e^{25}+x-\log (x))}+x)}^4}{x^4}$$

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Rubi [F]  time = 2.21, 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 = {} $$\begin{array}{c}\int \frac{-x^5+e^{2(2x-e^{25}x+x^2-x\log (x))}(-4+2x-2e^{25}x+4x^2-2x\log (x))+e^{\frac{3}{2}(2x-e^{25}x+x^2-x\log (x))}(-12x+6x^2-6e^{25}{x}^2+12x^3-6x^2\log (x))+e^{2x-e^{25}x+x^2-x\log (x)}(-12x^2+6x^3-6e^{25}{x}^3+12x^4-6x^3\log (x))+e^{\frac{1}{2}(2x-e^{25}x+x^2-x\log (x))}(-4x^3+2x^4-2e^{25}{x}^4+4x^5-2x^4\log (x))}{x^5}dx\end{array}$$

Verification is not applicable to the result.

[In]

Int[(-x^5 + E^(2*(2*x - E^25*x + x^2 - x*Log[x]))*(-4 + 2*x - 2*E^25*x + 4*x^2 - 2*x*Log[x]) + E^((3*(2*x - E^
25*x + x^2 - x*Log[x]))/2)*(-12*x + 6*x^2 - 6*E^25*x^2 + 12*x^3 - 6*x^2*Log[x]) + E^(2*x - E^25*x + x^2 - x*Lo
g[x])*(-12*x^2 + 6*x^3 - 6*E^25*x^3 + 12*x^4 - 6*x^3*Log[x]) + E^((2*x - E^25*x + x^2 - x*Log[x])/2)*(-4*x^3 +
2*x^4 - 2*E^25*x^4 + 4*x^5 - 2*x^4*Log[x]))/x^5,x]

[Out]

-x - 4*Defer[Int][E^(2*x*(2 - E^25 + x))*x^(-5 - 2*x), x] + 2*(1 - E^25)*Defer[Int][E^(2*x*(2 - E^25 + x))*x^(
-4 - 2*x), x] - 2*Log[x]*Defer[Int][E^(2*x*(2 - E^25 + x))*x^(-4 - 2*x), x] + 4*Defer[Int][E^(2*x*(2 - E^25 +
x))*x^(-3 - 2*x), x] - 12*Defer[Int][E^((3*x*(2 - E^25 + x))/2)*x^(-4 - (3*x)/2), x] + 6*(1 - E^25)*Defer[Int]
[E^((3*x*(2 - E^25 + x))/2)*x^(-3 - (3*x)/2), x] - 6*Log[x]*Defer[Int][E^((3*x*(2 - E^25 + x))/2)*x^(-3 - (3*x
)/2), x] + 12*Defer[Int][E^((3*x*(2 - E^25 + x))/2)*x^(-2 - (3*x)/2), x] - 12*Defer[Int][E^((2 - E^25)*x + x^2
)*x^(-3 - x), x] + 6*(1 - E^25)*Defer[Int][E^((2 - E^25)*x + x^2)*x^(-2 - x), x] - 6*Log[x]*Defer[Int][E^((2 -
E^25)*x + x^2)*x^(-2 - x), x] + 12*Defer[Int][E^((2 - E^25)*x + x^2)*x^(-1 - x), x] - 4*Defer[Int][E^((x*(2 -
E^25 + x))/2)*x^(-2 - x/2), x] + 2*(1 - E^25)*Defer[Int][E^((x*(2 - E^25 + x))/2)*x^(-1 - x/2), x] - 2*Log[x]
*Defer[Int][E^((x*(2 - E^25 + x))/2)*x^(-1 - x/2), x] + 4*Defer[Int][E^((x*(2 - E^25 + x))/2)/x^(x/2), x] + 2*
Defer[Int][Defer[Int][E^(2*x*(2 - E^25 + x))*x^(-4 - 2*x), x]/x, x] + 6*Defer[Int][Defer[Int][E^((3*x*(2 - E^2
5 + x))/2)*x^(-3 - (3*x)/2), x]/x, x] + 6*Defer[Int][Defer[Int][E^((2 - E^25)*x + x^2)*x^(-2 - x), x]/x, x] +
2*Defer[Int][Defer[Int][E^((x*(2 - E^25 + x))/2)*x^(-1 - x/2), x]/x, x]

Rubi steps

$$\begin{array}{c}\begin{array}{rl}\text{integral}& =\int (-1+2e^{2x(2-e^{25}+x)}{x}^{-5-2x}(-2+(1-e^{25})x+2x^2-x\log (x))+6e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-4-\frac{3x}{2}}(-2+(1-e^{25})x+2x^2-x\log (x))+6e^{(2-e^{25})x+x^2}{x}^{-3-x}(-2+(1-e^{25})x+2x^2-x\log (x))+2e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-2-\frac{x}{2}}(-2+(1-e^{25})x+2x^2-x\log (x)))dx\\ & =-x+2\int e^{2x(2-e^{25}+x)}{x}^{-5-2x}(-2+(1-e^{25})x+2x^2-x\log (x))dx+2\int e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-2-\frac{x}{2}}(-2+(1-e^{25})x+2x^2-x\log (x))dx+6\int e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-4-\frac{3x}{2}}(-2+(1-e^{25})x+2x^2-x\log (x))dx+6\int e^{(2-e^{25})x+x^2}{x}^{-3-x}(-2+(1-e^{25})x+2x^2-x\log (x))dx\\ & =-x+2\int (-2e^{2x(2-e^{25}+x)}{x}^{-5-2x}+e^{2x(2-e^{25}+x)}(1-e^{25})x^{-4-2x}+2e^{2x(2-e^{25}+x)}{x}^{-3-2x}-e^{2x(2-e^{25}+x)}{x}^{-4-2x}\log (x))dx+2\int (-2e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-2-\frac{x}{2}}+e^{\frac{1}{2}x(2-e^{25}+x)}(1-e^{25})x^{-1-\frac{x}{2}}+2e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-x/2}-e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-1-\frac{x}{2}}\log (x))dx+6\int (-2e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-4-\frac{3x}{2}}+e^{\frac{3}{2}x(2-e^{25}+x)}(1-e^{25})x^{-3-\frac{3x}{2}}+2e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-2-\frac{3x}{2}}-e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-3-\frac{3x}{2}}\log (x))dx+6\int (-2e^{(2-e^{25})x+x^2}{x}^{-3-x}+e^{(2-e^{25})x+x^2}(1-e^{25})x^{-2-x}+2e^{(2-e^{25})x+x^2}{x}^{-1-x}-e^{(2-e^{25})x+x^2}{x}^{-2-x}\log (x))dx\\ & =-x-2\int e^{2x(2-e^{25}+x)}{x}^{-4-2x}\log (x)dx-2\int e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-1-\frac{x}{2}}\log (x)dx-4\int e^{2x(2-e^{25}+x)}{x}^{-5-2x}dx+4\int e^{2x(2-e^{25}+x)}{x}^{-3-2x}dx-4\int e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-2-\frac{x}{2}}dx+4\int e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-x/2}dx-6\int e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-3-\frac{3x}{2}}\log (x)dx-6\int e^{(2-e^{25})x+x^2}{x}^{-2-x}\log (x)dx-12\int e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-4-\frac{3x}{2}}dx+12\int e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-2-\frac{3x}{2}}dx-12\int e^{(2-e^{25})x+x^2}{x}^{-3-x}dx+12\int e^{(2-e^{25})x+x^2}{x}^{-1-x}dx+\left(2(1-e^{25})\right)\int e^{2x(2-e^{25}+x)}{x}^{-4-2x}dx+\left(2(1-e^{25})\right)\int e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-1-\frac{x}{2}}dx+\left(6(1-e^{25})\right)\int e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-3-\frac{3x}{2}}dx+\left(6(1-e^{25})\right)\int e^{(2-e^{25})x+x^2}{x}^{-2-x}dx\\ & =-x+2\int \frac{\int e^{2x(2-e^{25}+x)}{x}^{-4-2x}dx}{x}dx+2\int \frac{\int e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-1-\frac{x}{2}}dx}{x}dx-4\int e^{2x(2-e^{25}+x)}{x}^{-5-2x}dx+4\int e^{2x(2-e^{25}+x)}{x}^{-3-2x}dx-4\int e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-2-\frac{x}{2}}dx+4\int e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-x/2}dx+6\int \frac{\int e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-3-\frac{3x}{2}}dx}{x}dx+6\int \frac{\int e^{(2-e^{25})x+x^2}{x}^{-2-x}dx}{x}dx-12\int e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-4-\frac{3x}{2}}dx+12\int e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-2-\frac{3x}{2}}dx-12\int e^{(2-e^{25})x+x^2}{x}^{-3-x}dx+12\int e^{(2-e^{25})x+x^2}{x}^{-1-x}dx+\left(2(1-e^{25})\right)\int e^{2x(2-e^{25}+x)}{x}^{-4-2x}dx+\left(2(1-e^{25})\right)\int e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-1-\frac{x}{2}}dx+\left(6(1-e^{25})\right)\int e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-3-\frac{3x}{2}}dx+\left(6(1-e^{25})\right)\int e^{(2-e^{25})x+x^2}{x}^{-2-x}dx-(2\log (x))\int e^{2x(2-e^{25}+x)}{x}^{-4-2x}dx-(2\log (x))\int e^{\frac{1}{2}x(2-e^{25}+x)}{x}^{-1-\frac{x}{2}}dx-(6\log (x))\int e^{\frac{3}{2}x(2-e^{25}+x)}{x}^{-3-\frac{3x}{2}}dx-(6\log (x))\int e^{(2-e^{25})x+x^2}{x}^{-2-x}dx\end{array}\end{array}$$

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Mathematica [B]  time = 1.57, size = 113, normalized size = 3.65 $$\begin{array}{c}-x+e^{-2(-2+e^{25})x+2x^2}{x}^{-4-2x}+4e^{-\frac{3}{2}(-2+e^{25})x+\frac{3x^2}{2}}{x}^{-3-\frac{3x}{2}}+6e^{-\left((-2+e^{25})x\right)+x^2}{x}^{-2-x}+4e^{-\frac{1}{2}(-2+e^{25})x+\frac{x^2}{2}}{x}^{-1-\frac{x}{2}}\end{array}$$

Antiderivative was successfully verified.

[In]

Integrate[(-x^5 + E^(2*(2*x - E^25*x + x^2 - x*Log[x]))*(-4 + 2*x - 2*E^25*x + 4*x^2 - 2*x*Log[x]) + E^((3*(2*
x - E^25*x + x^2 - x*Log[x]))/2)*(-12*x + 6*x^2 - 6*E^25*x^2 + 12*x^3 - 6*x^2*Log[x]) + E^(2*x - E^25*x + x^2
- x*Log[x])*(-12*x^2 + 6*x^3 - 6*E^25*x^3 + 12*x^4 - 6*x^3*Log[x]) + E^((2*x - E^25*x + x^2 - x*Log[x])/2)*(-4
*x^3 + 2*x^4 - 2*E^25*x^4 + 4*x^5 - 2*x^4*Log[x]))/x^5,x]

[Out]

-x + E^(-2*(-2 + E^25)*x + 2*x^2)*x^(-4 - 2*x) + 4*E^((-3*(-2 + E^25)*x)/2 + (3*x^2)/2)*x^(-3 - (3*x)/2) + 6*E
^(-((-2 + E^25)*x) + x^2)*x^(-2 - x) + 4*E^(-1/2*((-2 + E^25)*x) + x^2/2)*x^(-1 - x/2)

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fricas [B]  time = 0.75, size = 100, normalized size = 3.23 $$\begin{array}{c}-\frac{x^5-4x^3{e}^{(\frac{1}{2}{x}^2-\frac{1}{2}x{e}^{25}-\frac{1}{2}x\log (x)+x)}-6x^2{e}^{(x^2-x{e}^{25}-x\log (x)+2x)}-4x{e}^{(\frac{3}{2}{x}^2-\frac{3}{2}x{e}^{25}-\frac{3}{2}x\log (x)+3x)}-e^{(2x^2-2x{e}^{25}-2x\log (x)+4x)}}{x^4}\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((-2*x*log(x)-2*x*exp(25)+4*x^2+2*x-4)*exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)^4+(-6*x^2*log(x)-6
*x^2*exp(25)+12*x^3+6*x^2-12*x)*exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)^3+(-6*x^3*log(x)-6*x^3*exp(25)+12*x
^4+6*x^3-12*x^2)*exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)^2+(-2*x^4*log(x)-2*x^4*exp(25)+4*x^5+2*x^4-4*x^3)*
exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)-x^5)/x^5,x, algorithm="fricas")

[Out]

-(x^5 - 4*x^3*e^(1/2*x^2 - 1/2*x*e^25 - 1/2*x*log(x) + x) - 6*x^2*e^(x^2 - x*e^25 - x*log(x) + 2*x) - 4*x*e^(3
/2*x^2 - 3/2*x*e^25 - 3/2*x*log(x) + 3*x) - e^(2*x^2 - 2*x*e^25 - 2*x*log(x) + 4*x))/x^4

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giac [B]  time = 1.36, size = 100, normalized size = 3.23 $$\begin{array}{c}-\frac{x^5-4x^3{e}^{(\frac{1}{2}{x}^2-\frac{1}{2}x{e}^{25}-\frac{1}{2}x\log (x)+x)}-6x^2{e}^{(x^2-x{e}^{25}-x\log (x)+2x)}-4x{e}^{(\frac{3}{2}{x}^2-\frac{3}{2}x{e}^{25}-\frac{3}{2}x\log (x)+3x)}-e^{(2x^2-2x{e}^{25}-2x\log (x)+4x)}}{x^4}\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((-2*x*log(x)-2*x*exp(25)+4*x^2+2*x-4)*exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)^4+(-6*x^2*log(x)-6
*x^2*exp(25)+12*x^3+6*x^2-12*x)*exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)^3+(-6*x^3*log(x)-6*x^3*exp(25)+12*x
^4+6*x^3-12*x^2)*exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)^2+(-2*x^4*log(x)-2*x^4*exp(25)+4*x^5+2*x^4-4*x^3)*
exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)-x^5)/x^5,x, algorithm="giac")

[Out]

-(x^5 - 4*x^3*e^(1/2*x^2 - 1/2*x*e^25 - 1/2*x*log(x) + x) - 6*x^2*e^(x^2 - x*e^25 - x*log(x) + 2*x) - 4*x*e^(3
/2*x^2 - 3/2*x*e^25 - 3/2*x*log(x) + 3*x) - e^(2*x^2 - 2*x*e^25 - 2*x*log(x) + 4*x))/x^4

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maple [B]  time = 0.14, size = 94, normalized size = 3.03

method	result	size
risch	$-x+\frac{x^{-2x}{\mathrm{e}}^{-2x({\mathrm{e}}^{25}-x-2)}}{x^4}+\frac{4x^{-\frac{3x}{2}}{\mathrm{e}}^{-\frac{3x({\mathrm{e}}^{25}-x-2)}{2}}}{x^3}+\frac{6x^{-x}{\mathrm{e}}^{-x({\mathrm{e}}^{25}-x-2)}}{x^2}+\frac{4x^{-\frac{x}{2}}{\mathrm{e}}^{-\frac{x({\mathrm{e}}^{25}-x-2)}{2}}}{x}$	$94$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(((-2*x*ln(x)-2*x*exp(25)+4*x^2+2*x-4)*exp(-1/2*x*ln(x)-1/2*x*exp(25)+1/2*x^2+x)^4+(-6*x^2*ln(x)-6*x^2*exp(
25)+12*x^3+6*x^2-12*x)*exp(-1/2*x*ln(x)-1/2*x*exp(25)+1/2*x^2+x)^3+(-6*x^3*ln(x)-6*x^3*exp(25)+12*x^4+6*x^3-12
*x^2)*exp(-1/2*x*ln(x)-1/2*x*exp(25)+1/2*x^2+x)^2+(-2*x^4*ln(x)-2*x^4*exp(25)+4*x^5+2*x^4-4*x^3)*exp(-1/2*x*ln
(x)-1/2*x*exp(25)+1/2*x^2+x)-x^5)/x^5,x,method=_RETURNVERBOSE)

[Out]

-x+1/x^4*(x^(-1/2*x))^4*exp(-2*x*(exp(25)-x-2))+4/x^3*(x^(-1/2*x))^3*exp(-3/2*x*(exp(25)-x-2))+6/x^2*(x^(-1/2*
x))^2*exp(-x*(exp(25)-x-2))+4/x*x^(-1/2*x)*exp(-1/2*x*(exp(25)-x-2))

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maxima [B]  time = 0.46, size = 99, normalized size = 3.19 $$\begin{array}{c}-x+\frac{4x^3{e}^{(\frac{1}{2}{x}^2-\frac{1}{2}x{e}^{25}+\frac{3}{2}x\log (x)+x)}+6x^2{e}^{(x^2-x{e}^{25}+x\log (x)+2x)}+4x{e}^{(\frac{3}{2}{x}^2-\frac{3}{2}x{e}^{25}+\frac{1}{2}x\log (x)+3x)}+e^{(2x^2-2x{e}^{25}+4x)}}{x^4{x}^{2x}}\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((-2*x*log(x)-2*x*exp(25)+4*x^2+2*x-4)*exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)^4+(-6*x^2*log(x)-6
*x^2*exp(25)+12*x^3+6*x^2-12*x)*exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)^3+(-6*x^3*log(x)-6*x^3*exp(25)+12*x
^4+6*x^3-12*x^2)*exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)^2+(-2*x^4*log(x)-2*x^4*exp(25)+4*x^5+2*x^4-4*x^3)*
exp(-1/2*x*log(x)-1/2*x*exp(25)+1/2*x^2+x)-x^5)/x^5,x, algorithm="maxima")

[Out]

-x + (4*x^3*e^(1/2*x^2 - 1/2*x*e^25 + 3/2*x*log(x) + x) + 6*x^2*e^(x^2 - x*e^25 + x*log(x) + 2*x) + 4*x*e^(3/2
*x^2 - 3/2*x*e^25 + 1/2*x*log(x) + 3*x) + e^(2*x^2 - 2*x*e^25 + 4*x))/(x^4*x^(2*x))

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mupad [B]  time = 3.73, size = 101, normalized size = 3.26 $$\begin{array}{c}\frac{4{\mathrm{e}}^{3x-\frac{3x{\mathrm{e}}^{25}}{2}-\frac{3x\ln (x)}{2}+\frac{3x^2}{2}}}{x^3}-x+\frac{4{\mathrm{e}}^{x-\frac{x{\mathrm{e}}^{25}}{2}-\frac{x\ln (x)}{2}+\frac{x^2}{2}}}{x}+\frac{6{\mathrm{e}}^{2x-x{\mathrm{e}}^{25}+x^2}}{x^x{x}^2}+\frac{{\mathrm{e}}^{4x-2x{\mathrm{e}}^{25}+2x^2}}{x^{2x}{x}^4}\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-(exp(3*x - (3*x*exp(25))/2 - (3*x*log(x))/2 + (3*x^2)/2)*(12*x + 6*x^2*log(x) + 6*x^2*exp(25) - 6*x^2 - 1
2*x^3) + exp(x - (x*exp(25))/2 - (x*log(x))/2 + x^2/2)*(2*x^4*log(x) + 2*x^4*exp(25) + 4*x^3 - 2*x^4 - 4*x^5)
+ exp(2*x - x*exp(25) - x*log(x) + x^2)*(6*x^3*log(x) + 6*x^3*exp(25) + 12*x^2 - 6*x^3 - 12*x^4) + exp(4*x - 2
*x*exp(25) - 2*x*log(x) + 2*x^2)*(2*x*exp(25) - 2*x + 2*x*log(x) - 4*x^2 + 4) + x^5)/x^5,x)

[Out]

(4*exp(3*x - (3*x*exp(25))/2 - (3*x*log(x))/2 + (3*x^2)/2))/x^3 - x + (4*exp(x - (x*exp(25))/2 - (x*log(x))/2
+ x^2/2))/x + (6*exp(2*x - x*exp(25) + x^2))/(x^x*x^2) + exp(4*x - 2*x*exp(25) + 2*x^2)/(x^(2*x)*x^4)

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sympy [B]  time = 0.50, size = 116, normalized size = 3.74 $$\begin{array}{c}-x+\frac{4x^9{e}^{\frac{x^2}{2}-\frac{x\log (x)}{2}-\frac{x{e}^{25}}{2}+x}+6x^8{e}^{x^2-x\log (x)-x{e}^{25}+2x}+4x^7{e}^{\frac{3x^2}{2}-\frac{3x\log (x)}{2}-\frac{3x{e}^{25}}{2}+3x}+x^6{e}^{2x^2-2x\log (x)-2x{e}^{25}+4x}}{x^{10}}\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((-2*x*ln(x)-2*x*exp(25)+4*x**2+2*x-4)*exp(-1/2*x*ln(x)-1/2*x*exp(25)+1/2*x**2+x)**4+(-6*x**2*ln(x)-
6*x**2*exp(25)+12*x**3+6*x**2-12*x)*exp(-1/2*x*ln(x)-1/2*x*exp(25)+1/2*x**2+x)**3+(-6*x**3*ln(x)-6*x**3*exp(25
)+12*x**4+6*x**3-12*x**2)*exp(-1/2*x*ln(x)-1/2*x*exp(25)+1/2*x**2+x)**2+(-2*x**4*ln(x)-2*x**4*exp(25)+4*x**5+2
*x**4-4*x**3)*exp(-1/2*x*ln(x)-1/2*x*exp(25)+1/2*x**2+x)-x**5)/x**5,x)

[Out]

-x + (4*x**9*exp(x**2/2 - x*log(x)/2 - x*exp(25)/2 + x) + 6*x**8*exp(x**2 - x*log(x) - x*exp(25) + 2*x) + 4*x*
*7*exp(3*x**2/2 - 3*x*log(x)/2 - 3*x*exp(25)/2 + 3*x) + x**6*exp(2*x**2 - 2*x*log(x) - 2*x*exp(25) + 4*x))/x**
10

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