Optimal. Leaf size=8 \[ \log \left (\frac {124}{25}-3 x\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 6, normalized size of antiderivative = 0.75, 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*} \log (124-75 x) \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 31
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=75 \int \frac {1}{-124+75 x} \, dx\\ &=\log (124-75 x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 6, normalized size = 0.75 \begin {gather*} \log (-124+75 x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.87, size = 6, normalized size = 0.75 \begin {gather*} \log \left (75 \, x - 124\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.16, size = 7, normalized size = 0.88 \begin {gather*} \log \left ({\left | 75 \, x - 124 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.09, size = 7, normalized size = 0.88
method | result | size |
default | \(\ln \left (75 x -124\right )\) | \(7\) |
norman | \(\ln \left (75 x -124\right )\) | \(7\) |
meijerg | \(\ln \left (1-\frac {75 x}{124}\right )\) | \(7\) |
risch | \(\ln \left (75 x -124\right )\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 6, normalized size = 0.75 \begin {gather*} \log \left (75 \, x - 124\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.07, size = 4, normalized size = 0.50 \begin {gather*} \ln \left (x-\frac {124}{75}\right ) \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 = 0.62 \begin {gather*} \log {\left (75 x - 124 \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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