Optimal. Leaf size=14 \[ a x+\frac {3}{2} b x^{2/3} \]
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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 = 0, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ a x+\frac {3}{2} b x^{2/3} \]
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (a+\frac {b}{\sqrt [3]{x}}\right ) \, dx &=\frac {3}{2} b x^{2/3}+a x\\ \end {align*}
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Mathematica [A] time = 0.00, size = 14, normalized size = 1.00 \[ a x+\frac {3}{2} b x^{2/3} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.87, size = 10, normalized size = 0.71 \[ a x + \frac {3}{2} \, b x^{\frac {2}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.15, size = 10, normalized size = 0.71 \[ a x + \frac {3}{2} \, b x^{\frac {2}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 11, normalized size = 0.79 \[ a x +\frac {3 b \,x^{\frac {2}{3}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.66, size = 10, normalized size = 0.71 \[ a x + \frac {3}{2} \, b x^{\frac {2}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 10, normalized size = 0.71 \[ a\,x+\frac {3\,b\,x^{2/3}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 12, normalized size = 0.86 \[ a x + \frac {3 b x^{\frac {2}{3}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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