Optimal. Leaf size=9 \[ \frac{2^{\log (x)}}{\log (2)} \]
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Rubi [A] time = 0.0154783, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 8, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.25, Rules used = {2274, 30} \[ \frac{x^{\log (2)}}{\log (2)} \]
Antiderivative was successfully verified.
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Rule 2274
Rule 30
Rubi steps
\begin{align*} \int \frac{2^{\log (x)}}{x} \, dx &=\int x^{-1+\log (2)} \, dx\\ &=\frac{x^{\log (2)}}{\log (2)}\\ \end{align*}
Mathematica [A] time = 0.0064506, size = 9, normalized size = 1. \[ \frac{2^{\log (x)}}{\log (2)} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.013, size = 10, normalized size = 1.1 \begin{align*}{\frac{{2}^{\ln \left ( x \right ) }}{\ln \left ( 2 \right ) }} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.07262, size = 12, normalized size = 1.33 \begin{align*} \frac{2^{\log \left (x\right )}}{\log \left (2\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 2.14421, size = 35, normalized size = 3.89 \begin{align*} \frac{e^{\left (\log \left (2\right ) \log \left (x\right )\right )}}{\log \left (2\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.418147, size = 7, normalized size = 0.78 \begin{align*} \frac{2^{\log{\left (x \right )}}}{\log{\left (2 \right )}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.29955, size = 12, normalized size = 1.33 \begin{align*} \frac{2^{\log \left (x\right )}}{\log \left (2\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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