Optimal. Leaf size=11 \[ x-\frac{2 x^{3/2}}{3} \]
[Out]
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Rubi [A] time = 0.00568546, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ x-\frac{2 x^{3/2}}{3} \]
Antiderivative was successfully verified.
[In] Int[1 - Sqrt[x],x]
[Out]
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Rubi in Sympy [A] time = 0.639337, size = 8, normalized size = 0.73 \[ - \frac{2 x^{\frac{3}{2}}}{3} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1-x**(1/2),x)
[Out]
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Mathematica [A] time = 0.00252499, size = 11, normalized size = 1. \[ x-\frac{2 x^{3/2}}{3} \]
Antiderivative was successfully verified.
[In] Integrate[1 - Sqrt[x],x]
[Out]
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Maple [A] time = 0.001, size = 8, normalized size = 0.7 \[ x-{\frac{2}{3}{x}^{{\frac{3}{2}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1-x^(1/2),x)
[Out]
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Maxima [A] time = 0.680649, size = 9, normalized size = 0.82 \[ -\frac{2}{3} \, x^{\frac{3}{2}} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-sqrt(x) + 1,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.26406, size = 9, normalized size = 0.82 \[ -\frac{2}{3} \, x^{\frac{3}{2}} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-sqrt(x) + 1,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.06273, size = 8, normalized size = 0.73 \[ - \frac{2 x^{\frac{3}{2}}}{3} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1-x**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.265063, size = 9, normalized size = 0.82 \[ -\frac{2}{3} \, x^{\frac{3}{2}} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-sqrt(x) + 1,x, algorithm="giac")
[Out]