Optimal. Leaf size=6 \[ 4+5 \log (x) \]
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Rubi [A]
time = 0.00, antiderivative size = 4, normalized size of antiderivative = 0.67, number of steps
used = 2, number of rules used = 2, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.400, Rules used = {12, 29}
\begin {gather*} 5 \log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 29
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=5 \int \frac {1}{x} \, dx\\ &=5 \log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 4, normalized size = 0.67 \begin {gather*} 5 \log (x) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 5, normalized size = 0.83
method | result | size |
default | \(5 \ln \left (x \right )\) | \(5\) |
norman | \(5 \ln \left (x \right )\) | \(5\) |
risch | \(5 \ln \left (x \right )\) | \(5\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 4, normalized size = 0.67 \begin {gather*} 5 \, \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.37, size = 4, normalized size = 0.67 \begin {gather*} 5 \, \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 3, normalized size = 0.50 \begin {gather*} 5 \log {\left (x \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 5, normalized size = 0.83 \begin {gather*} 5 \, \log \left ({\left | x \right |}\right ) \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 = 0.67 \begin {gather*} 5\,\ln \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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