Optimal. Leaf size=14 \[ \frac{1}{2} x \sqrt [3]{b x^3} \]
[Out]
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Rubi [A] time = 0.00681788, antiderivative size = 14, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.222 \[ \frac{1}{2} x \sqrt [3]{b x^3} \]
Antiderivative was successfully verified.
[In] Int[(b*x^3)^(1/3),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{\sqrt [3]{b x^{3}} \int x\, dx}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**3)**(1/3),x)
[Out]
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Mathematica [A] time = 0.00215541, size = 14, normalized size = 1. \[ \frac{1}{2} x \sqrt [3]{b x^3} \]
Antiderivative was successfully verified.
[In] Integrate[(b*x^3)^(1/3),x]
[Out]
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Maple [A] time = 0.002, size = 11, normalized size = 0.8 \[{\frac{x}{2}\sqrt [3]{b{x}^{3}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^3)^(1/3),x)
[Out]
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Maxima [A] time = 1.44048, size = 14, normalized size = 1. \[ \frac{1}{2} \, \left (b x^{3}\right )^{\frac{1}{3}} x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3)^(1/3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.212435, size = 14, normalized size = 1. \[ \frac{1}{2} \, \left (b x^{3}\right )^{\frac{1}{3}} x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3)^(1/3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.491524, size = 14, normalized size = 1. \[ \frac{\sqrt [3]{b} x \sqrt [3]{x^{3}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**3)**(1/3),x)
[Out]
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GIAC/XCAS [A] time = 0.232182, size = 11, normalized size = 0.79 \[ \frac{1}{2} \, b^{\frac{1}{3}} x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3)^(1/3),x, algorithm="giac")
[Out]