Optimal. Leaf size=13 \[ \frac {x^{1+\log (2)}}{1+\log (2)} \]
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Rubi [A] time = 0.01, antiderivative size = 13, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 4, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.500, Rules used = {2274, 30} \[ \frac {x^{1+\log (2)}}{1+\log (2)} \]
Antiderivative was successfully verified.
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Rule 30
Rule 2274
Rubi steps
\begin {align*} \int 2^{\log (x)} \, dx &=\int x^{\log (2)} \, dx\\ &=\frac {x^{1+\log (2)}}{1+\log (2)}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 0.92 \[ \frac {x 2^{\log (x)}}{1+\log (2)} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.43, size = 14, normalized size = 1.08 \[ \frac {x e^{\left (\log \relax (2) \log \relax (x)\right )}}{\log \relax (2) + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.16, size = 14, normalized size = 1.08 \[ \frac {x e^{\left (\log \relax (2) \log \relax (x)\right )}}{\log \relax (2) + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.06, size = 13, normalized size = 1.00 \[ \frac {x 2^{\ln \relax (x )}}{1+\ln \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.52, size = 24, normalized size = 1.85 \[ \frac {2^{{\left (\frac {1}{\log \relax (2)} + 1\right )} \log \relax (x)}}{{\left (\frac {1}{\log \relax (2)} + 1\right )} \log \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.36, size = 13, normalized size = 1.00 \[ \frac {x^{\ln \relax (2)+1}}{\ln \relax (2)+1} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.39, size = 10, normalized size = 0.77 \[ \frac {2^{\log {\relax (x )}} x}{\log {\relax (2 )} + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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