Optimal. Leaf size=12 \[ 5-\frac {24}{5} (-4+\log (-4+x)) \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 0.83, number of steps used = 2, number of rules used = 2, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.222, Rules used = {12, 31} \begin {gather*} -\frac {24}{5} \log (4-x) \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 31
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\left (24 \int \frac {1}{-20+5 x} \, dx\right )\\ &=-\frac {24}{5} \log (4-x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 0.83 \begin {gather*} -\frac {24}{5} \log (20-5 x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.68, size = 6, normalized size = 0.50 \begin {gather*} -\frac {24}{5} \, \log \left (x - 4\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.07, size = 7, normalized size = 0.58 \begin {gather*} -\frac {24}{5} \, \log \left ({\left | x - 4 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.24, size = 7, normalized size = 0.58
method | result | size |
default | \(-\frac {24 \ln \left (x -4\right )}{5}\) | \(7\) |
risch | \(-\frac {24 \ln \left (x -4\right )}{5}\) | \(7\) |
norman | \(-\frac {24 \ln \left (5 x -20\right )}{5}\) | \(9\) |
meijerg | \(-\frac {24 \ln \left (-\frac {x}{4}+1\right )}{5}\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 6, normalized size = 0.50 \begin {gather*} -\frac {24}{5} \, \log \left (x - 4\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.04, size = 6, normalized size = 0.50 \begin {gather*} -\frac {24\,\ln \left (x-4\right )}{5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 10, normalized size = 0.83 \begin {gather*} - \frac {24 \log {\left (5 x - 20 \right )}}{5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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