Optimal. Leaf size=14 \[ \frac {3 (b x)^{5/3}}{5 b} \]
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Rubi [A] time = 0.00, antiderivative size = 14, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {32} \[ \frac {3 (b x)^{5/3}}{5 b} \]
Antiderivative was successfully verified.
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Rule 32
Rubi steps
\begin {align*} \int (b x)^{2/3} \, dx &=\frac {3 (b x)^{5/3}}{5 b}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 0.86 \[ \frac {3}{5} x (b x)^{2/3} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.81, size = 8, normalized size = 0.57 \[ \frac {3}{5} \, \left (b x\right )^{\frac {2}{3}} x \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.16, size = 8, normalized size = 0.57 \[ \frac {3}{5} \, \left (b x\right )^{\frac {2}{3}} x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 9, normalized size = 0.64 \[ \frac {3 \left (b x \right )^{\frac {2}{3}} x}{5} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.32, size = 10, normalized size = 0.71 \[ \frac {3 \, \left (b x\right )^{\frac {5}{3}}}{5 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 10, normalized size = 0.71 \[ \frac {3\,{\left (b\,x\right )}^{5/3}}{5\,b} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 10, normalized size = 0.71 \[ \frac {3 \left (b x\right )^{\frac {5}{3}}}{5 b} \]
Verification of antiderivative is not currently implemented for this CAS.
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