Optimal. Leaf size=12 \[ 2 x \sqrt{\frac{b}{x}} \]
[Out]
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Rubi [A] time = 0.00703931, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.222 \[ 2 x \sqrt{\frac{b}{x}} \]
Antiderivative was successfully verified.
[In] Int[Sqrt[b/x],x]
[Out]
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Rubi in Sympy [A] time = 1.14967, size = 8, normalized size = 0.67 \[ 2 x \sqrt{\frac{b}{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b/x)**(1/2),x)
[Out]
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Mathematica [A] time = 0.00205493, size = 12, normalized size = 1. \[ 2 x \sqrt{\frac{b}{x}} \]
Antiderivative was successfully verified.
[In] Integrate[Sqrt[b/x],x]
[Out]
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Maple [A] time = 0.003, size = 11, normalized size = 0.9 \[ 2\,x\sqrt{{\frac{b}{x}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b/x)^(1/2),x)
[Out]
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Maxima [A] time = 1.43619, size = 14, normalized size = 1.17 \[ 2 \, x \sqrt{\frac{b}{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(b/x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.226164, size = 14, normalized size = 1.17 \[ \frac{2 \, b}{\sqrt{\frac{b}{x}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(b/x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.377444, size = 14, normalized size = 1.17 \[ 2 \sqrt{b} x \sqrt{\frac{1}{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b/x)**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.224363, size = 12, normalized size = 1. \[ 2 \, \sqrt{b x}{\rm sign}\left (x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(b/x),x, algorithm="giac")
[Out]