Optimal. Leaf size=17 \[ \log \left (\frac {5+\frac {1}{2} (10-2 x)}{\log (2)}\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 6, normalized size of antiderivative = 0.35, 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 = {31} \begin {gather*} \log (10-x) \end {gather*}
Antiderivative was successfully verified.
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Rule 31
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\log (10-x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 4, normalized size = 0.24 \begin {gather*} \log (-10+x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.65, size = 4, normalized size = 0.24 \begin {gather*} \log \left (x - 10\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.35, size = 5, normalized size = 0.29 \begin {gather*} \log \left ({\left | x - 10 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.20, size = 5, normalized size = 0.29
method | result | size |
default | \(\ln \left (x -10\right )\) | \(5\) |
norman | \(\ln \left (x -10\right )\) | \(5\) |
risch | \(\ln \left (x -10\right )\) | \(5\) |
meijerg | \(\ln \left (1-\frac {x}{10}\right )\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.52, size = 4, normalized size = 0.24 \begin {gather*} \log \left (x - 10\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 4, normalized size = 0.24 \begin {gather*} \ln \left (x-10\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 3, normalized size = 0.18 \begin {gather*} \log {\left (x - 10 \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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