Optimal. Leaf size=12 \[ 2 x+11 \log (3-x) \]
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Rubi [A] time = 0.0063038, antiderivative size = 12, normalized size of antiderivative = 1., 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*}
Mathematica [A] time = 0.0031168, size = 12, normalized size = 1. \[ 2 (x-3)+11 \log (x-3) \]
Antiderivative was successfully verified.
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Maple [A] time = 0.003, size = 11, normalized size = 0.9 \begin{align*} 2\,x+11\,\ln \left ( -3+x \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.958498, size = 14, normalized size = 1.17 \begin{align*} 2 \, x + 11 \, \log \left (x - 3\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.79746, size = 28, normalized size = 2.33 \begin{align*} 2 \, x + 11 \, \log \left (x - 3\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.068852, size = 8, normalized size = 0.67 \begin{align*} 2 x + 11 \log{\left (x - 3 \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.046, size = 15, normalized size = 1.25 \begin{align*} 2 \, x + 11 \, \log \left ({\left | x - 3 \right |}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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