3.8.58 \(\int \frac {x}{e^x+x} \, dx\) [758]

Optimal. Leaf size=12 \[ \text {Int}\left (\frac {x}{e^x+x},x\right ) \]

[Out]

CannotIntegrate(x/(x+exp(x)),x)

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Rubi [A]
time = 0.02, 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 {x}{e^x+x} \, dx \end {gather*}

Verification is not applicable to the result.

[In]

Int[x/(E^x + x),x]

[Out]

Defer[Int][x/(E^x + x), x]

Rubi steps

\begin {align*} \int \frac {x}{e^x+x} \, dx &=\int \frac {x}{e^x+x} \, dx\\ \end {align*}

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Mathematica [A]
time = 3.77, size = 0, normalized size = 0.00 \begin {gather*} \int \frac {x}{e^x+x} \, dx \end {gather*}

Verification is not applicable to the result.

[In]

Integrate[x/(E^x + x),x]

[Out]

Integrate[x/(E^x + x), x]

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Maple [A]
time = 0.00, size = 0, normalized size = 0.00 \[\int \frac {x}{{\mathrm e}^{x}+x}\, dx\]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(x/(exp(x)+x),x)

[Out]

int(x/(exp(x)+x),x)

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Maxima [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Failed to integrate} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(x/(exp(x)+x),x, algorithm="maxima")

[Out]

integrate(x/(x + e^x), x)

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Fricas [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(x/(exp(x)+x),x, algorithm="fricas")

[Out]

integral(x/(x + e^x), x)

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Sympy [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \frac {x}{x + e^{x}}\, dx \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(x/(exp(x)+x),x)

[Out]

Integral(x/(x + exp(x)), x)

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Giac [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(x/(exp(x)+x),x, algorithm="giac")

[Out]

integrate(x/(x + e^x), x)

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Mupad [A]
time = 0.00, size = -1, normalized size = -0.08 \begin {gather*} \int \frac {x}{x+{\mathrm {e}}^x} \,d x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(x/(x + exp(x)),x)

[Out]

int(x/(x + exp(x)), x)

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