Optimal. Leaf size=17 \[ -\frac{1}{16 x^4}-\frac{\log (x)}{4 x^4} \]
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Rubi [A] time = 0.006899, antiderivative size = 17, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 6, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.167, Rules used = {2304} \[ -\frac{1}{16 x^4}-\frac{\log (x)}{4 x^4} \]
Antiderivative was successfully verified.
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Rule 2304
Rubi steps
\begin{align*} \int \frac{\log (x)}{x^5} \, dx &=-\frac{1}{16 x^4}-\frac{\log (x)}{4 x^4}\\ \end{align*}
Mathematica [A] time = 0.0009253, size = 17, normalized size = 1. \[ -\frac{1}{16 x^4}-\frac{\log (x)}{4 x^4} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 14, normalized size = 0.8 \begin{align*} -{\frac{1}{16\,{x}^{4}}}-{\frac{\ln \left ( x \right ) }{4\,{x}^{4}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.934378, size = 18, normalized size = 1.06 \begin{align*} -\frac{\log \left (x\right )}{4 \, x^{4}} - \frac{1}{16 \, x^{4}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.67994, size = 35, normalized size = 2.06 \begin{align*} -\frac{4 \, \log \left (x\right ) + 1}{16 \, x^{4}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.092494, size = 15, normalized size = 0.88 \begin{align*} - \frac{\log{\left (x \right )}}{4 x^{4}} - \frac{1}{16 x^{4}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.05191, size = 18, normalized size = 1.06 \begin{align*} -\frac{\log \left (x\right )}{4 \, x^{4}} - \frac{1}{16 \, x^{4}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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