### 3.290 $$\int \frac{1}{x^2 (x+\log (x))} \, dx$$

Optimal. Leaf size=12 $\text{CannotIntegrate}\left (\frac{1}{x^2 (x+\log (x))},x\right )$

[Out]

CannotIntegrate[1/(x^2*(x + Log[x])), x]

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Rubi [A]  time = 0.0341406, 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., Rules used = {} $\int \frac{1}{x^2 (x+\log (x))} \, dx$

Veriﬁcation is Not applicable to the result.

[In]

Int[1/(x^2*(x + Log[x])),x]

[Out]

Defer[Int][1/(x^2*(x + Log[x])), x]

Rubi steps

\begin{align*} \int \frac{1}{x^2 (x+\log (x))} \, dx &=\int \frac{1}{x^2 (x+\log (x))} \, dx\\ \end{align*}

Mathematica [A]  time = 6.46883, size = 0, normalized size = 0. $\int \frac{1}{x^2 (x+\log (x))} \, dx$

Veriﬁcation is Not applicable to the result.

[In]

Integrate[1/(x^2*(x + Log[x])),x]

[Out]

Integrate[1/(x^2*(x + Log[x])), x]

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Maple [A]  time = 0.01, size = 0, normalized size = 0. \begin{align*} \int{\frac{1}{{x}^{2} \left ( x+\ln \left ( x \right ) \right ) }}\, dx \end{align*}

Veriﬁcation of antiderivative is not currently implemented for this CAS.

[In]

int(1/x^2/(x+ln(x)),x)

[Out]

int(1/x^2/(x+ln(x)),x)

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Maxima [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{1}{{\left (x + \log \left (x\right )\right )} x^{2}}\,{d x} \end{align*}

Veriﬁcation of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/x^2/(x+log(x)),x, algorithm="maxima")

[Out]

integrate(1/((x + log(x))*x^2), x)

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Fricas [A]  time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{1}{x^{3} + x^{2} \log \left (x\right )}, x\right ) \end{align*}

Veriﬁcation of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/x^2/(x+log(x)),x, algorithm="fricas")

[Out]

integral(1/(x^3 + x^2*log(x)), x)

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Sympy [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{1}{x^{2} \left (x + \log{\left (x \right )}\right )}\, dx \end{align*}

Veriﬁcation of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/x**2/(x+ln(x)),x)

[Out]

Integral(1/(x**2*(x + log(x))), x)

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Giac [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{1}{{\left (x + \log \left (x\right )\right )} x^{2}}\,{d x} \end{align*}

Veriﬁcation of antiderivative is not currently implemented for this CAS.

[In]

integrate(1/x^2/(x+log(x)),x, algorithm="giac")

[Out]

integrate(1/((x + log(x))*x^2), x)