Optimal. Leaf size=12 \[ \log \left (\frac {3^{-1/x}}{5}\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 7, normalized size of antiderivative = 0.58, number of steps used = 2, number of rules used = 2, integrand size = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {12, 30} \begin {gather*} -\frac {\log (3)}{x} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 30
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\log (3) \int \frac {1}{x^2} \, dx\\ &=-\frac {\log (3)}{x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 7, normalized size = 0.58 \begin {gather*} -\frac {\log (3)}{x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.74, size = 7, normalized size = 0.58 \begin {gather*} -\frac {\log \relax (3)}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.15, size = 7, normalized size = 0.58 \begin {gather*} -\frac {\log \relax (3)}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 8, normalized size = 0.67
method | result | size |
gosper | \(-\frac {\ln \relax (3)}{x}\) | \(8\) |
default | \(-\frac {\ln \relax (3)}{x}\) | \(8\) |
norman | \(-\frac {\ln \relax (3)}{x}\) | \(8\) |
risch | \(-\frac {\ln \relax (3)}{x}\) | \(8\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 7, normalized size = 0.58 \begin {gather*} -\frac {\log \relax (3)}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 7, normalized size = 0.58 \begin {gather*} -\frac {\ln \relax (3)}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 5, normalized size = 0.42 \begin {gather*} - \frac {\log {\relax (3 )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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