Optimal. Leaf size=12 \[ \frac{a x^3}{3}+b x \]
[Out]
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Rubi [A] time = 0.0132819, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091 \[ \frac{a x^3}{3}+b x \]
Antiderivative was successfully verified.
[In] Int[(a + b/x^2)*x^2,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{a x^{3}}{3} + \int b\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((a+b/x**2)*x**2,x)
[Out]
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Mathematica [A] time = 0.000962509, size = 12, normalized size = 1. \[ \frac{a x^3}{3}+b x \]
Antiderivative was successfully verified.
[In] Integrate[(a + b/x^2)*x^2,x]
[Out]
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Maple [A] time = 0.001, size = 11, normalized size = 0.9 \[ bx+{\frac{a{x}^{3}}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((a+b/x^2)*x^2,x)
[Out]
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Maxima [A] time = 1.47025, size = 14, normalized size = 1.17 \[ \frac{1}{3} \, a x^{3} + b x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x^2)*x^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.221343, size = 14, normalized size = 1.17 \[ \frac{1}{3} \, a x^{3} + b x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x^2)*x^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.064747, size = 8, normalized size = 0.67 \[ \frac{a x^{3}}{3} + b x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a+b/x**2)*x**2,x)
[Out]
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GIAC/XCAS [A] time = 0.2295, size = 14, normalized size = 1.17 \[ \frac{1}{3} \, a x^{3} + b x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x^2)*x^2,x, algorithm="giac")
[Out]