Optimal. Leaf size=1 \[ x \]
[Out]
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Rubi [A] time = 0.00318223, antiderivative size = 1, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 17, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.118 \[ x \]
Antiderivative was successfully verified.
[In] Int[(1 - x^2)^2/(-1 + x^2)^2,x]
[Out]
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Rubi in Sympy [A] time = 0.041971, size = 0, normalized size = 0. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((-x**2+1)**2/(x**2-1)**2,x)
[Out]
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Mathematica [A] time = 0.000409258, size = 1, normalized size = 1. \[ x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - x^2)^2/(-1 + x^2)^2,x]
[Out]
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Maple [A] time = 0., size = 2, normalized size = 2. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((-x^2+1)^2/(x^2-1)^2,x)
[Out]
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Maxima [A] time = 1.34069, size = 1, normalized size = 1. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.202327, size = 1, normalized size = 1. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.071556, size = 0, normalized size = 0. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((-x**2+1)**2/(x**2-1)**2,x)
[Out]
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GIAC/XCAS [A] time = 0.21752, size = 1, normalized size = 1. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1,x, algorithm="giac")
[Out]