Optimal. Leaf size=11 \[ -\frac {2^{\frac {1}{x}}}{\log (2)} \]
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Rubi [A] time = 0.01, antiderivative size = 11, normalized size of antiderivative = 1.00, 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*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 1.00 \[ -\frac {2^{\frac {1}{x}}}{\log (2)} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.41, size = 11, normalized size = 1.00 \[ -\frac {2^{\left (\frac {1}{x}\right )}}{\log \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.18, size = 11, normalized size = 1.00 \[ -\frac {2^{\left (\frac {1}{x}\right )}}{\log \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 12, normalized size = 1.09 \[ -\frac {2^{\frac {1}{x}}}{\ln \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.99, size = 11, normalized size = 1.00 \[ -\frac {2^{\left (\frac {1}{x}\right )}}{\log \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.50, size = 11, normalized size = 1.00 \[ -\frac {2^{1/x}}{\ln \relax (2)} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.10, size = 8, normalized size = 0.73 \[ - \frac {2^{\frac {1}{x}}}{\log {\relax (2 )}} \]
Verification of antiderivative is not currently implemented for this CAS.
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