Optimal. Leaf size=14 \[ \frac{3 (b x)^{2/3}}{2 b} \]
[Out]
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Rubi [A] time = 0.00616831, antiderivative size = 14, 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 \[ \frac{3 (b x)^{2/3}}{2 b} \]
Antiderivative was successfully verified.
[In] Int[(b*x)^(-1/3),x]
[Out]
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Rubi in Sympy [A] time = 1.31558, size = 10, normalized size = 0.71 \[ \frac{3 \left (b x\right )^{\frac{2}{3}}}{2 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(b*x)**(1/3),x)
[Out]
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Mathematica [A] time = 0.00249843, size = 12, normalized size = 0.86 \[ \frac{3 x}{2 \sqrt [3]{b x}} \]
Antiderivative was successfully verified.
[In] Integrate[(b*x)^(-1/3),x]
[Out]
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Maple [A] time = 0.003, size = 9, normalized size = 0.6 \[{\frac{3\,x}{2}{\frac{1}{\sqrt [3]{bx}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(b*x)^(1/3),x)
[Out]
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Maxima [A] time = 1.43621, size = 14, normalized size = 1. \[ \frac{3 \, \left (b x\right )^{\frac{2}{3}}}{2 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(-1/3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.227519, size = 14, normalized size = 1. \[ \frac{3 \, \left (b x\right )^{\frac{2}{3}}}{2 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(-1/3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.063773, size = 10, normalized size = 0.71 \[ \frac{3 \left (b x\right )^{\frac{2}{3}}}{2 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(b*x)**(1/3),x)
[Out]
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GIAC/XCAS [A] time = 0.22523, size = 14, normalized size = 1. \[ \frac{3 \, \left (b x\right )^{\frac{2}{3}}}{2 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(-1/3),x, algorithm="giac")
[Out]