Optimal. Leaf size=17 \[ \frac{6 x^{11/6}}{11}-\frac{x^4}{4} \]
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Rubi [A] time = 0.0018104, antiderivative size = 17, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \frac{6 x^{11/6}}{11}-\frac{x^4}{4} \]
Antiderivative was successfully verified.
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Rubi steps
\begin{align*} \int \left (x^{5/6}-x^3\right ) \, dx &=\frac{6 x^{11/6}}{11}-\frac{x^4}{4}\\ \end{align*}
Mathematica [A] time = 0.0019205, size = 17, normalized size = 1. \[ \frac{6 x^{11/6}}{11}-\frac{x^4}{4} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 12, normalized size = 0.7 \begin{align*}{\frac{6}{11}{x}^{{\frac{11}{6}}}}-{\frac{{x}^{4}}{4}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.969834, size = 15, normalized size = 0.88 \begin{align*} -\frac{1}{4} \, x^{4} + \frac{6}{11} \, x^{\frac{11}{6}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.89175, size = 35, normalized size = 2.06 \begin{align*} -\frac{1}{4} \, x^{4} + \frac{6}{11} \, x^{\frac{11}{6}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.055255, size = 12, normalized size = 0.71 \begin{align*} \frac{6 x^{\frac{11}{6}}}{11} - \frac{x^{4}}{4} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.05014, size = 15, normalized size = 0.88 \begin{align*} -\frac{1}{4} \, x^{4} + \frac{6}{11} \, x^{\frac{11}{6}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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