Optimal. Leaf size=9 \[ \log \left (\frac {1944}{e^5 x}\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 4, normalized size of antiderivative = 0.44, number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {29} \begin {gather*} -\log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 29
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 4, normalized size = 0.44 \begin {gather*} -\log (x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.55, size = 4, normalized size = 0.44 \begin {gather*} -\log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.43, size = 5, normalized size = 0.56 \begin {gather*} -\log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 5, normalized size = 0.56
method | result | size |
default | \(-\ln \relax (x )\) | \(5\) |
norman | \(-\ln \relax (x )\) | \(5\) |
risch | \(-\ln \relax (x )\) | \(5\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.56, size = 4, normalized size = 0.44 \begin {gather*} -\log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.01, size = 4, normalized size = 0.44 \begin {gather*} -\ln \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 3, normalized size = 0.33 \begin {gather*} - \log {\relax (x )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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