Optimal. Leaf size=9 \[ \frac {2^{\log (x)}}{\log (2)} \]
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Rubi [A] time = 0.02, antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 8, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.250, Rules used = {2274, 30} \[ \frac {x^{\log (2)}}{\log (2)} \]
Antiderivative was successfully verified.
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Rule 30
Rule 2274
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*}
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Mathematica [A] time = 0.01, size = 9, normalized size = 1.00 \[ \frac {2^{\log (x)}}{\log (2)} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.85, size = 11, normalized size = 1.22 \[ \frac {e^{\left (\log \relax (2) \log \relax (x)\right )}}{\log \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.18, size = 9, normalized size = 1.00 \[ \frac {2^{\log \relax (x)}}{\log \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.07, size = 10, normalized size = 1.11 \[ \frac {2^{\ln \relax (x )}}{\ln \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.58, size = 9, normalized size = 1.00 \[ \frac {2^{\log \relax (x)}}{\log \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.40, size = 9, normalized size = 1.00 \[ \frac {x^{\ln \relax (2)}}{\ln \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.38, size = 7, normalized size = 0.78 \[ \frac {2^{\log {\relax (x )}}}{\log {\relax (2 )}} \]
Verification of antiderivative is not currently implemented for this CAS.
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