Optimal. Leaf size=9 \[ 3 e^{\sqrt [3]{x}} \]
[Out]
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Rubi [A] time = 0.0184409, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077 \[ 3 e^{\sqrt [3]{x}} \]
Antiderivative was successfully verified.
[In] Int[E^x^(1/3)/x^(2/3),x]
[Out]
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Rubi in Sympy [A] time = 2.76859, size = 7, normalized size = 0.78 \[ 3 e^{\sqrt [3]{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(x**(1/3))/x**(2/3),x)
[Out]
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Mathematica [A] time = 0.00318319, size = 9, normalized size = 1. \[ 3 e^{\sqrt [3]{x}} \]
Antiderivative was successfully verified.
[In] Integrate[E^x^(1/3)/x^(2/3),x]
[Out]
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Maple [A] time = 0.001, size = 7, normalized size = 0.8 \[ 3\,{{\rm e}^{\sqrt [3]{x}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(x^(1/3))/x^(2/3),x)
[Out]
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Maxima [A] time = 0.768142, size = 8, normalized size = 0.89 \[ 3 \, e^{\left (x^{\frac{1}{3}}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(x^(1/3))/x^(2/3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.250086, size = 8, normalized size = 0.89 \[ 3 \, e^{\left (x^{\frac{1}{3}}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(x^(1/3))/x^(2/3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.502216, size = 7, normalized size = 0.78 \[ 3 e^{\sqrt [3]{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(x**(1/3))/x**(2/3),x)
[Out]
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GIAC/XCAS [A] time = 0.298076, size = 8, normalized size = 0.89 \[ 3 \, e^{\left (x^{\frac{1}{3}}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(x^(1/3))/x^(2/3),x, algorithm="giac")
[Out]