3.741 \(\int \frac{x}{e^x+x} \, dx\)

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

[Out]

CannotIntegrate[x/(E^x + x), x]

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Rubi [A]  time = 0.0451669, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ \text{Int}\left (\frac{x}{e^x+x},x\right ) \]

Verification is Not applicable to the result.

[In]  Int[x/(E^x + x),x]

[Out]

Defer[Int][x/(E^x + x), x]

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Rubi in Sympy [A]  time = 0., size = 0, normalized size = 0. \[ \int \frac{x}{x + e^{x}}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(x/(exp(x)+x),x)

[Out]

Integral(x/(x + exp(x)), x)

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Mathematica [A]  time = 2.85606, size = 0, normalized size = 0. \[ \int \frac{x}{e^x+x} \, dx \]

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 = 0.015, size = 0, normalized size = 0. \[ \int{\frac{x}{{{\rm e}^{x}}+x}}\, dx \]

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., size = 0, normalized size = 0. \[ \int \frac{x}{x + e^{x}}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x/(x + e^x),x, algorithm="maxima")

[Out]

integrate(x/(x + e^x), x)

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Fricas [A]  time = 0., size = 0, normalized size = 0. \[{\rm integral}\left (\frac{x}{x + e^{x}}, x\right ) \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x/(x + e^x),x, algorithm="fricas")

[Out]

integral(x/(x + e^x), x)

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Sympy [A]  time = 0., size = 0, normalized size = 0. \[ \int \frac{x}{x + e^{x}}\, dx \]

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/XCAS [A]  time = 0., size = 0, normalized size = 0. \[ \int \frac{x}{x + e^{x}}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x/(x + e^x),x, algorithm="giac")

[Out]

integrate(x/(x + e^x), x)