Optimal. Leaf size=9 \[ \frac{2 x^{5/2}}{5} \]
[Out]
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Rubi [A] time = 0.00301936, 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 \[ \frac{2 x^{5/2}}{5} \]
Antiderivative was successfully verified.
[In] Int[x^(3/2),x]
[Out]
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Rubi in Sympy [A] time = 0.902529, size = 7, normalized size = 0.78 \[ \frac{2 x^{\frac{5}{2}}}{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**(3/2),x)
[Out]
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Mathematica [A] time = 0.00094139, size = 9, normalized size = 1. \[ \frac{2 x^{5/2}}{5} \]
Antiderivative was successfully verified.
[In] Integrate[x^(3/2),x]
[Out]
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Maple [A] time = 0.003, size = 6, normalized size = 0.7 \[{\frac{2}{5}{x}^{{\frac{5}{2}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^(3/2),x)
[Out]
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Maxima [A] time = 1.32588, size = 7, normalized size = 0.78 \[ \frac{2}{5} \, x^{\frac{5}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(3/2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.200177, size = 7, normalized size = 0.78 \[ \frac{2}{5} \, x^{\frac{5}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(3/2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.02991, size = 7, normalized size = 0.78 \[ \frac{2 x^{\frac{5}{2}}}{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**(3/2),x)
[Out]
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GIAC/XCAS [A] time = 0.207857, size = 7, normalized size = 0.78 \[ \frac{2}{5} \, x^{\frac{5}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(3/2),x, algorithm="giac")
[Out]