Optimal. Leaf size=10 \[ \frac{1}{3} \log (3 x+2) \]
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Rubi [A] time = 0.0009813, antiderivative size = 10, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143, Rules used = {31} \[ \frac{1}{3} \log (3 x+2) \]
Antiderivative was successfully verified.
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Rule 31
Rubi steps
\begin{align*} \int \frac{1}{2+3 x} \, dx &=\frac{1}{3} \log (2+3 x)\\ \end{align*}
Mathematica [A] time = 0.0008833, size = 10, normalized size = 1. \[ \frac{1}{3} \log (3 x+2) \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 9, normalized size = 0.9 \begin{align*}{\frac{\ln \left ( 2+3\,x \right ) }{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.13284, size = 11, normalized size = 1.1 \begin{align*} \frac{1}{3} \, \log \left (3 \, x + 2\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.19238, size = 24, normalized size = 2.4 \begin{align*} \frac{1}{3} \, \log \left (3 \, x + 2\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.052239, size = 7, normalized size = 0.7 \begin{align*} \frac{\log{\left (3 x + 2 \right )}}{3} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.23442, size = 12, normalized size = 1.2 \begin{align*} \frac{1}{3} \, \log \left ({\left | 3 \, x + 2 \right |}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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