Optimal. Leaf size=12 \[ \frac{1}{12} \log \left (3 x^4+2\right ) \]
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Rubi [A] time = 0.0025986, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077, Rules used = {260} \[ \frac{1}{12} \log \left (3 x^4+2\right ) \]
Antiderivative was successfully verified.
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Rule 260
Rubi steps
\begin{align*} \int \frac{x^3}{2+3 x^4} \, dx &=\frac{1}{12} \log \left (2+3 x^4\right )\\ \end{align*}
Mathematica [A] time = 0.0026309, size = 12, normalized size = 1. \[ \frac{1}{12} \log \left (3 x^4+2\right ) \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 11, normalized size = 0.9 \begin{align*}{\frac{\ln \left ( 3\,{x}^{4}+2 \right ) }{12}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.956816, size = 14, normalized size = 1.17 \begin{align*} \frac{1}{12} \, \log \left (3 \, x^{4} + 2\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.60579, size = 28, normalized size = 2.33 \begin{align*} \frac{1}{12} \, \log \left (3 \, x^{4} + 2\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.088471, size = 8, normalized size = 0.67 \begin{align*} \frac{\log{\left (3 x^{4} + 2 \right )}}{12} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.17055, size = 14, normalized size = 1.17 \begin{align*} \frac{1}{12} \, \log \left (3 \, x^{4} + 2\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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