Optimal. Leaf size=10 \[ x+5 \log (5-x) \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 1.00, 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*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 0.80 \[ x+5 \log (x-5) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.41, size = 8, normalized size = 0.80 \[ x + 5 \, \log \left (x - 5\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.18, size = 9, normalized size = 0.90 \[ x + 5 \, \log \left ({\left | x - 5 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 9, normalized size = 0.90 \[ x +5 \ln \left (x -5\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.54, size = 8, normalized size = 0.80 \[ x + 5 \, \log \left (x - 5\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 8, normalized size = 0.80 \[ x+5\,\ln \left (x-5\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 7, normalized size = 0.70 \[ x + 5 \log {\left (x - 5 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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