Optimal. Leaf size=19 \[ \frac{3 x^{2/3}}{2}-\frac{6 x^{7/6}}{7} \]
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Rubi [A] time = 0.003367, antiderivative size = 19, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 15, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.067, Rules used = {14} \[ \frac{3 x^{2/3}}{2}-\frac{6 x^{7/6}}{7} \]
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin{align*} \int \frac{1-\sqrt{x}}{\sqrt [3]{x}} \, dx &=\int \left (\frac{1}{\sqrt [3]{x}}-\sqrt [6]{x}\right ) \, dx\\ &=\frac{3 x^{2/3}}{2}-\frac{6 x^{7/6}}{7}\\ \end{align*}
Mathematica [A] time = 0.0034718, size = 19, normalized size = 1. \[ \frac{3 x^{2/3}}{2}-\frac{6 x^{7/6}}{7} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 12, normalized size = 0.6 \begin{align*}{\frac{3}{2}{x}^{{\frac{2}{3}}}}-{\frac{6}{7}{x}^{{\frac{7}{6}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.939876, size = 15, normalized size = 0.79 \begin{align*} -\frac{6}{7} \, x^{\frac{7}{6}} + \frac{3}{2} \, x^{\frac{2}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.90134, size = 38, normalized size = 2. \begin{align*} -\frac{6}{7} \, x^{\frac{7}{6}} + \frac{3}{2} \, x^{\frac{2}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 1.85478, size = 15, normalized size = 0.79 \begin{align*} - \frac{6 x^{\frac{7}{6}}}{7} + \frac{3 x^{\frac{2}{3}}}{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.05121, size = 15, normalized size = 0.79 \begin{align*} -\frac{6}{7} \, x^{\frac{7}{6}} + \frac{3}{2} \, x^{\frac{2}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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