Optimal. Leaf size=17 \[ \frac{2 x^{5/2}}{5}-\frac{2}{\sqrt{x}} \]
[Out]
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Rubi [A] time = 0.00668221, antiderivative size = 17, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ \frac{2 x^{5/2}}{5}-\frac{2}{\sqrt{x}} \]
Antiderivative was successfully verified.
[In] Int[x^(-3/2) + x^(3/2),x]
[Out]
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Rubi in Sympy [A] time = 0.928095, size = 14, normalized size = 0.82 \[ \frac{2 x^{\frac{5}{2}}}{5} - \frac{2}{\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/x**(3/2)+x**(3/2),x)
[Out]
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Mathematica [A] time = 0.00554275, size = 14, normalized size = 0.82 \[ \frac{2 \left (x^3-5\right )}{5 \sqrt{x}} \]
Antiderivative was successfully verified.
[In] Integrate[x^(-3/2) + x^(3/2),x]
[Out]
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Maple [A] time = 0.006, size = 11, normalized size = 0.7 \[{\frac{2\,{x}^{3}-10}{5}{\frac{1}{\sqrt{x}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/x^(3/2)+x^(3/2),x)
[Out]
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Maxima [A] time = 1.34239, size = 15, normalized size = 0.88 \[ \frac{2}{5} \, x^{\frac{5}{2}} - \frac{2}{\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(3/2) + 1/x^(3/2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.198824, size = 14, normalized size = 0.82 \[ \frac{2 \,{\left (x^{3} - 5\right )}}{5 \, \sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(3/2) + 1/x^(3/2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.034614, size = 14, normalized size = 0.82 \[ \frac{2 x^{\frac{5}{2}}}{5} - \frac{2}{\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/x**(3/2)+x**(3/2),x)
[Out]
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GIAC/XCAS [A] time = 0.270201, size = 15, normalized size = 0.88 \[ \frac{2}{5} \, x^{\frac{5}{2}} - \frac{2}{\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(3/2) + 1/x^(3/2),x, algorithm="giac")
[Out]