Optimal. Leaf size=9 \[ \frac{3 x^{2/3}}{2} \]
[Out]
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Rubi [A] time = 0.00312815, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2 \[ \frac{3 x^{2/3}}{2} \]
Antiderivative was successfully verified.
[In] Int[x^(-1/3),x]
[Out]
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Rubi in Sympy [A] time = 0.900272, size = 7, normalized size = 0.78 \[ \frac{3 x^{\frac{2}{3}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/x**(1/3),x)
[Out]
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Mathematica [A] time = 0.000877713, size = 9, normalized size = 1. \[ \frac{3 x^{2/3}}{2} \]
Antiderivative was successfully verified.
[In] Integrate[x^(-1/3),x]
[Out]
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Maple [A] time = 0.002, size = 6, normalized size = 0.7 \[{\frac{3}{2}{x}^{{\frac{2}{3}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/x^(1/3),x)
[Out]
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Maxima [A] time = 1.33034, size = 7, normalized size = 0.78 \[ \frac{3}{2} \, x^{\frac{2}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(-1/3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.194364, size = 7, normalized size = 0.78 \[ \frac{3}{2} \, x^{\frac{2}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(-1/3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.029769, size = 7, normalized size = 0.78 \[ \frac{3 x^{\frac{2}{3}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/x**(1/3),x)
[Out]
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GIAC/XCAS [A] time = 0.211061, size = 7, normalized size = 0.78 \[ \frac{3}{2} \, x^{\frac{2}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(-1/3),x, algorithm="giac")
[Out]