Optimal. Leaf size=11 \[ -2 \sqrt{1-x} \]
[Out]
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Rubi [A] time = 0.00565314, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111 \[ -2 \sqrt{1-x} \]
Antiderivative was successfully verified.
[In] Int[1/Sqrt[1 - x],x]
[Out]
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Rubi in Sympy [A] time = 0.525788, size = 8, normalized size = 0.73 \[ - 2 \sqrt{- x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(1-x)**(1/2),x)
[Out]
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Mathematica [A] time = 0.00252851, size = 11, normalized size = 1. \[ -2 \sqrt{1-x} \]
Antiderivative was successfully verified.
[In] Integrate[1/Sqrt[1 - x],x]
[Out]
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Maple [A] time = 0.003, size = 10, normalized size = 0.9 \[ -2\,\sqrt{1-x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(1-x)^(1/2),x)
[Out]
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Maxima [A] time = 0.680677, size = 12, normalized size = 1.09 \[ -2 \, \sqrt{-x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(-x + 1),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.265146, size = 12, normalized size = 1.09 \[ -2 \, \sqrt{-x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(-x + 1),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.066209, size = 8, normalized size = 0.73 \[ - 2 \sqrt{- x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(1-x)**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.261089, size = 12, normalized size = 1.09 \[ -2 \, \sqrt{-x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(-x + 1),x, algorithm="giac")
[Out]