Optimal. Leaf size=13 \[ -\sqrt{3-x^2} \]
[Out]
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Rubi [A] time = 0.00621599, antiderivative size = 13, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077 \[ -\sqrt{3-x^2} \]
Antiderivative was successfully verified.
[In] Int[x/Sqrt[3 - x^2],x]
[Out]
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Rubi in Sympy [A] time = 0.87586, size = 8, normalized size = 0.62 \[ - \sqrt{- x^{2} + 3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x/(-x**2+3)**(1/2),x)
[Out]
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Mathematica [A] time = 0.00259858, size = 13, normalized size = 1. \[ -\sqrt{3-x^2} \]
Antiderivative was successfully verified.
[In] Integrate[x/Sqrt[3 - x^2],x]
[Out]
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Maple [A] time = 0.004, size = 12, normalized size = 0.9 \[ -\sqrt{-{x}^{2}+3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x/(-x^2+3)^(1/2),x)
[Out]
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Maxima [A] time = 1.33796, size = 15, normalized size = 1.15 \[ -\sqrt{-x^{2} + 3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/sqrt(-x^2 + 3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.207814, size = 15, normalized size = 1.15 \[ -\sqrt{-x^{2} + 3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/sqrt(-x^2 + 3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.151469, size = 8, normalized size = 0.62 \[ - \sqrt{- x^{2} + 3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/(-x**2+3)**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.214832, size = 15, normalized size = 1.15 \[ -\sqrt{-x^{2} + 3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/sqrt(-x^2 + 3),x, algorithm="giac")
[Out]