Optimal. Leaf size=12 \[ \frac{3 \sqrt [3]{b x}}{b} \]
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Rubi [A] time = 0.0013403, antiderivative size = 12, normalized size of antiderivative = 1., 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} \[ \frac{3 \sqrt [3]{b x}}{b} \]
Antiderivative was successfully verified.
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Rule 32
Rubi steps
\begin{align*} \int \frac{1}{(b x)^{2/3}} \, dx &=\frac{3 \sqrt [3]{b x}}{b}\\ \end{align*}
Mathematica [A] time = 0.0012122, size = 10, normalized size = 0.83 \[ \frac{3 x}{(b x)^{2/3}} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 9, normalized size = 0.8 \begin{align*} 3\,{\frac{x}{ \left ( bx \right ) ^{2/3}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.988783, size = 14, normalized size = 1.17 \begin{align*} \frac{3 \, \left (b x\right )^{\frac{1}{3}}}{b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.68667, size = 23, normalized size = 1.92 \begin{align*} \frac{3 \, \left (b x\right )^{\frac{1}{3}}}{b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.061202, size = 8, normalized size = 0.67 \begin{align*} \frac{3 \sqrt [3]{b x}}{b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.57076, size = 14, normalized size = 1.17 \begin{align*} \frac{3 \, \left (b x\right )^{\frac{1}{3}}}{b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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