Optimal. Leaf size=12 \[ 2 x+11 \log (3-x) \]
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Rubi [A] time = 0.01, antiderivative size = 12, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.091, Rules used = {43} \[ 2 x+11 \log (3-x) \]
Antiderivative was successfully verified.
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Rule 43
Rubi steps
\begin {align*} \int \frac {5+2 x}{-3+x} \, dx &=\int \left (2+\frac {11}{-3+x}\right ) \, dx\\ &=2 x+11 \log (3-x)\\ \end {align*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 1.00 \[ 2 (x-3)+11 \log (x-3) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.44, size = 10, normalized size = 0.83 \[ 2 \, x + 11 \, \log \left (x - 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.04, size = 11, normalized size = 0.92 \[ 2 \, x + 11 \, \log \left ({\left | x - 3 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 11, normalized size = 0.92 \[ 2 x +11 \ln \left (x -3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.48, size = 10, normalized size = 0.83 \[ 2 \, x + 11 \, \log \left (x - 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 10, normalized size = 0.83 \[ 2\,x+11\,\ln \left (x-3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 8, normalized size = 0.67 \[ 2 x + 11 \log {\left (x - 3 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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