Optimal. Leaf size=11 \[ -\frac{2^{\frac{1}{x}}}{\log (2)} \]
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Rubi [A] time = 0.0109216, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111, Rules used = {2209} \[ -\frac{2^{\frac{1}{x}}}{\log (2)} \]
Antiderivative was successfully verified.
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Rule 2209
Rubi steps
\begin{align*} \int \frac{2^{\frac{1}{x}}}{x^2} \, dx &=-\frac{2^{\frac{1}{x}}}{\log (2)}\\ \end{align*}
Mathematica [A] time = 0.0015678, size = 11, normalized size = 1. \[ -\frac{2^{\frac{1}{x}}}{\log (2)} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.022, size = 12, normalized size = 1.1 \begin{align*} -{\frac{\sqrt [x]{2}}{\ln \left ( 2 \right ) }} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.97364, size = 15, normalized size = 1.36 \begin{align*} -\frac{2^{\left (\frac{1}{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 = 0.721701, size = 23, normalized size = 2.09 \begin{align*} -\frac{2^{\left (\frac{1}{x}\right )}}{\log \left (2\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.098418, size = 8, normalized size = 0.73 \begin{align*} - \frac{2^{\frac{1}{x}}}{\log{\left (2 \right )}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.29599, size = 15, normalized size = 1.36 \begin{align*} -\frac{2^{\left (\frac{1}{x}\right )}}{\log \left (2\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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