Optimal. Leaf size=8 \[ 2 \sqrt{\log (x)} \]
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Rubi [A] time = 0.0139242, antiderivative size = 8, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 10, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2, Rules used = {2302, 30} \[ 2 \sqrt{\log (x)} \]
Antiderivative was successfully verified.
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Rule 2302
Rule 30
Rubi steps
\begin{align*} \int \frac{1}{x \sqrt{\log (x)}} \, dx &=\operatorname{Subst}\left (\int \frac{1}{\sqrt{x}} \, dx,x,\log (x)\right )\\ &=2 \sqrt{\log (x)}\\ \end{align*}
Mathematica [A] time = 0.0015343, size = 8, normalized size = 1. \[ 2 \sqrt{\log (x)} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.004, size = 7, normalized size = 0.9 \begin{align*} 2\,\sqrt{\ln \left ( x \right ) } \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.07431, size = 8, normalized size = 1. \begin{align*} 2 \, \sqrt{\log \left (x\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 2.02241, size = 22, normalized size = 2.75 \begin{align*} 2 \, \sqrt{\log \left (x\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.431645, size = 7, normalized size = 0.88 \begin{align*} 2 \sqrt{\log{\left (x \right )}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.21724, size = 8, normalized size = 1. \begin{align*} 2 \, \sqrt{\log \left (x\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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