Optimal. Leaf size=10 \[ x+5 \log (5-x) \]
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Rubi [A] time = 0.0044039, antiderivative size = 10, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143, Rules used = {43} \[ x+5 \log (5-x) \]
Antiderivative was successfully verified.
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Rule 43
Rubi steps
\begin{align*} \int \frac{x}{-5+x} \, dx &=\int \left (1+\frac{5}{-5+x}\right ) \, dx\\ &=x+5 \log (5-x)\\ \end{align*}
Mathematica [A] time = 0.0014074, size = 8, normalized size = 0.8 \[ x+5 \log (x-5) \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 9, normalized size = 0.9 \begin{align*} x+5\,\ln \left ( -5+x \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.927806, size = 11, normalized size = 1.1 \begin{align*} x + 5 \, \log \left (x - 5\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.78642, size = 24, normalized size = 2.4 \begin{align*} x + 5 \, \log \left (x - 5\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.067517, size = 7, normalized size = 0.7 \begin{align*} x + 5 \log{\left (x - 5 \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.05003, size = 12, normalized size = 1.2 \begin{align*} x + 5 \, \log \left ({\left | x - 5 \right |}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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