Optimal. Leaf size=12 \[ \log \left (\left (1-\frac {125}{21 x}\right ) x\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 6, normalized size of antiderivative = 0.50, 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 (125-21 x) \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 31
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=21 \int \frac {1}{-125+21 x} \, dx\\ &=\log (125-21 x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 6, normalized size = 0.50 \begin {gather*} \log (-125+21 x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.58, size = 6, normalized size = 0.50 \begin {gather*} \log \left (21 \, x - 125\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.15, size = 7, normalized size = 0.58 \begin {gather*} \log \left ({\left | 21 \, x - 125 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.08, size = 7, normalized size = 0.58
method | result | size |
default | \(\ln \left (21 x -125\right )\) | \(7\) |
norman | \(\ln \left (21 x -125\right )\) | \(7\) |
meijerg | \(\ln \left (1-\frac {21 x}{125}\right )\) | \(7\) |
risch | \(\ln \left (21 x -125\right )\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.71, size = 6, normalized size = 0.50 \begin {gather*} \log \left (21 \, x - 125\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.06, size = 4, normalized size = 0.33 \begin {gather*} \ln \left (x-\frac {125}{21}\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 = 0.42 \begin {gather*} \log {\left (21 x - 125 \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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