Optimal. Leaf size=9 \[ -\frac{2}{3 x^{3/2}} \]
[Out]
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Rubi [A] time = 0.00282961, 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 \[ -\frac{2}{3 x^{3/2}} \]
Antiderivative was successfully verified.
[In] Int[x^(-5/2),x]
[Out]
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Rubi in Sympy [A] time = 0.902821, size = 8, normalized size = 0.89 \[ - \frac{2}{3 x^{\frac{3}{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/x**(5/2),x)
[Out]
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Mathematica [A] time = 0.000862354, size = 9, normalized size = 1. \[ -\frac{2}{3 x^{3/2}} \]
Antiderivative was successfully verified.
[In] Integrate[x^(-5/2),x]
[Out]
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Maple [A] time = 0.002, size = 6, normalized size = 0.7 \[ -{\frac{2}{3}{x}^{-{\frac{3}{2}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/x^(5/2),x)
[Out]
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Maxima [A] time = 1.3336, size = 7, normalized size = 0.78 \[ -\frac{2}{3 \, x^{\frac{3}{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(-5/2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.200862, size = 7, normalized size = 0.78 \[ -\frac{2}{3 \, x^{\frac{3}{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(-5/2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.030832, size = 8, normalized size = 0.89 \[ - \frac{2}{3 x^{\frac{3}{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/x**(5/2),x)
[Out]
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GIAC/XCAS [A] time = 0.20353, size = 7, normalized size = 0.78 \[ -\frac{2}{3 \, x^{\frac{3}{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(-5/2),x, algorithm="giac")
[Out]