Optimal. Leaf size=13 \[ \frac{4}{9} \left (x^3+2\right )^{3/4} \]
[Out]
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Rubi [A] time = 0.00718234, antiderivative size = 13, 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 \[ \frac{4}{9} \left (x^3+2\right )^{3/4} \]
Antiderivative was successfully verified.
[In] Int[x^2/(2 + x^3)^(1/4),x]
[Out]
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Rubi in Sympy [A] time = 1.62351, size = 10, normalized size = 0.77 \[ \frac{4 \left (x^{3} + 2\right )^{\frac{3}{4}}}{9} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**2/(x**3+2)**(1/4),x)
[Out]
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Mathematica [A] time = 0.00564578, size = 13, normalized size = 1. \[ \frac{4}{9} \left (x^3+2\right )^{3/4} \]
Antiderivative was successfully verified.
[In] Integrate[x^2/(2 + x^3)^(1/4),x]
[Out]
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Maple [A] time = 0.005, size = 10, normalized size = 0.8 \[{\frac{4}{9} \left ({x}^{3}+2 \right ) ^{{\frac{3}{4}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^2/(x^3+2)^(1/4),x)
[Out]
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Maxima [A] time = 1.41482, size = 12, normalized size = 0.92 \[ \frac{4}{9} \,{\left (x^{3} + 2\right )}^{\frac{3}{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^2/(x^3 + 2)^(1/4),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.2317, size = 12, normalized size = 0.92 \[ \frac{4}{9} \,{\left (x^{3} + 2\right )}^{\frac{3}{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^2/(x^3 + 2)^(1/4),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.449387, size = 10, normalized size = 0.77 \[ \frac{4 \left (x^{3} + 2\right )^{\frac{3}{4}}}{9} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**2/(x**3+2)**(1/4),x)
[Out]
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GIAC/XCAS [A] time = 0.218038, size = 12, normalized size = 0.92 \[ \frac{4}{9} \,{\left (x^{3} + 2\right )}^{\frac{3}{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^2/(x^3 + 2)^(1/4),x, algorithm="giac")
[Out]