Optimal. Leaf size=14 \[ \frac{1}{6} x^5 \sqrt{x^2} \]
[Out]
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Rubi [A] time = 0.00524484, antiderivative size = 14, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.286 \[ \frac{1}{6} x^5 \sqrt{x^2} \]
Antiderivative was successfully verified.
[In] Int[(x^2)^(5/2),x]
[Out]
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Rubi in Sympy [A] time = 1.09859, size = 10, normalized size = 0.71 \[ \frac{x^{5} \sqrt{x^{2}}}{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((x**2)**(5/2),x)
[Out]
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Mathematica [A] time = 0.00570274, size = 12, normalized size = 0.86 \[ \frac{1}{6} x \left (x^2\right )^{5/2} \]
Antiderivative was successfully verified.
[In] Integrate[(x^2)^(5/2),x]
[Out]
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Maple [A] time = 0.003, size = 9, normalized size = 0.6 \[{\frac{x}{6} \left ({x}^{2} \right ) ^{{\frac{5}{2}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((x^2)^(5/2),x)
[Out]
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Maxima [A] time = 1.44188, size = 11, normalized size = 0.79 \[ \frac{1}{6} \,{\left (x^{2}\right )}^{\frac{5}{2}} x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2)^(5/2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.226688, size = 7, normalized size = 0.5 \[ \frac{1}{6} \, x^{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2)^(5/2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.089224, size = 3, normalized size = 0.21 \[ \frac{x^{6}}{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x**2)**(5/2),x)
[Out]
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GIAC/XCAS [A] time = 0.220911, size = 9, normalized size = 0.64 \[ \frac{1}{6} \, x^{6}{\rm sign}\left (x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2)^(5/2),x, algorithm="giac")
[Out]