Optimal. Leaf size=15 \[ x-2 \log (-3+x)-\frac {10}{\log (\log (2))} \]
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Rubi [A]
time = 0.01, antiderivative size = 10, normalized size of antiderivative = 0.67, number of steps
used = 2, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {45}
\begin {gather*} x-2 \log (3-x) \end {gather*}
Antiderivative was successfully verified.
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Rule 45
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (1-\frac {2}{-3+x}\right ) \, dx\\ &=x-2 \log (3-x)\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 8, normalized size = 0.53 \begin {gather*} x-2 \log (-3+x) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.06, size = 9, normalized size = 0.60
method | result | size |
default | \(x -2 \ln \left (x -3\right )\) | \(9\) |
norman | \(x -2 \ln \left (x -3\right )\) | \(9\) |
risch | \(x -2 \ln \left (x -3\right )\) | \(9\) |
meijerg | \(-2 \ln \left (1-\frac {x}{3}\right )+x\) | \(11\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 8, normalized size = 0.53 \begin {gather*} x - 2 \, \log \left (x - 3\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.35, size = 8, normalized size = 0.53 \begin {gather*} x - 2 \, \log \left (x - 3\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 7, normalized size = 0.47 \begin {gather*} x - 2 \log {\left (x - 3 \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 9, normalized size = 0.60 \begin {gather*} x - 2 \, \log \left ({\left | x - 3 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.04, size = 8, normalized size = 0.53 \begin {gather*} x-2\,\ln \left (x-3\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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