3.288 \(\int \frac {1}{x+\log (x)} \, dx\)

Optimal. Leaf size=9 \[ \text {Int}\left (\frac {1}{x+\log (x)},x\right ) \]

[Out]

CannotIntegrate(1/(x+ln(x)),x)

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Rubi [A]  time = 0.01, 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 = {} \[ \int \frac {1}{x+\log (x)} \, dx \]

Verification is Not applicable to the result.

[In]

Int[(x + Log[x])^(-1),x]

[Out]

Defer[Int][(x + Log[x])^(-1), x]

Rubi steps

\begin {align*} \int \frac {1}{x+\log (x)} \, dx &=\int \frac {1}{x+\log (x)} \, dx\\ \end {align*}

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Mathematica [A]  time = 0.01, size = 0, normalized size = 0.00 \[ \int \frac {1}{x+\log (x)} \, dx \]

Verification is Not applicable to the result.

[In]

Integrate[(x + Log[x])^(-1),x]

[Out]

Integrate[(x + Log[x])^(-1), x]

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fricas [A]  time = 0.41, size = 0, normalized size = 0.00 \[ {\rm integral}\left (\frac {1}{x + \log \relax (x)}, x\right ) \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/(x+log(x)),x, algorithm="fricas")

[Out]

integral(1/(x + log(x)), x)

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giac [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {1}{x + \log \relax (x)}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/(x+log(x)),x, algorithm="giac")

[Out]

integrate(1/(x + log(x)), x)

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maple [A]  time = 0.07, size = 0, normalized size = 0.00 \[ \int \frac {1}{x +\ln \relax (x )}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(1/(x+ln(x)),x)

[Out]

int(1/(x+ln(x)),x)

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maxima [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {1}{x + \log \relax (x)}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/(x+log(x)),x, algorithm="maxima")

[Out]

integrate(1/(x + log(x)), x)

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mupad [A]  time = 0.00, size = -1, normalized size = -0.11 \[ \int \frac {1}{x+\ln \relax (x)} \,d x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(1/(x + log(x)),x)

[Out]

int(1/(x + log(x)), x)

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sympy [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {1}{x + \log {\relax (x )}}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/(x+ln(x)),x)

[Out]

Integral(1/(x + log(x)), x)

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