Optimal. Leaf size=19 \[ \frac {3 x^{2/3}}{2}-\frac {6 x^{7/6}}{7} \]
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Rubi [A] time = 0.00, antiderivative size = 19, normalized size of antiderivative = 1.00, 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*}
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Mathematica [A] time = 0.00, size = 19, normalized size = 1.00 \[ \frac {3 x^{2/3}}{2}-\frac {6 x^{7/6}}{7} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.63, size = 11, normalized size = 0.58 \[ -\frac {6}{7} \, x^{\frac {7}{6}} + \frac {3}{2} \, x^{\frac {2}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.37, size = 11, normalized size = 0.58 \[ -\frac {6}{7} \, x^{\frac {7}{6}} + \frac {3}{2} \, x^{\frac {2}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 12, normalized size = 0.63 \[ -\frac {6 x^{\frac {7}{6}}}{7}+\frac {3 x^{\frac {2}{3}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.48, size = 11, normalized size = 0.58 \[ -\frac {6}{7} \, x^{\frac {7}{6}} + \frac {3}{2} \, x^{\frac {2}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 12, normalized size = 0.63 \[ -\frac {3\,x^{2/3}\,\left (4\,\sqrt {x}-7\right )}{14} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 1.53, size = 15, normalized size = 0.79 \[ - \frac {6 x^{\frac {7}{6}}}{7} + \frac {3 x^{\frac {2}{3}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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