Optimal. Leaf size=7 \[ \frac{x^4}{4} \]
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Rubi [A] time = 0.0003908, antiderivative size = 7, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.333, Rules used = {30} \[ \frac{x^4}{4} \]
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin{align*} \int x^3 \, dx &=\frac{x^4}{4}\\ \end{align*}
Mathematica [A] time = 0.0001082, size = 7, normalized size = 1. \[ \frac{x^4}{4} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 6, normalized size = 0.9 \begin{align*}{\frac{{x}^{4}}{4}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.948067, size = 7, normalized size = 1. \begin{align*} \frac{1}{4} \, x^{4} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.2617, size = 12, normalized size = 1.71 \begin{align*} \frac{1}{4} x^{4} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.04775, size = 3, normalized size = 0.43 \begin{align*} \frac{x^{4}}{4} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.08909, size = 7, normalized size = 1. \begin{align*} \frac{1}{4} \, x^{4} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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