Optimal. Leaf size=12 \[ \frac{2 \sqrt{b x}}{b} \]
[Out]
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Rubi [A] time = 0.00701051, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143 \[ \frac{2 \sqrt{b x}}{b} \]
Antiderivative was successfully verified.
[In] Int[1/Sqrt[b*x],x]
[Out]
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Rubi in Sympy [A] time = 1.37099, size = 8, normalized size = 0.67 \[ \frac{2 \sqrt{b x}}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(b*x)**(1/2),x)
[Out]
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Mathematica [A] time = 0.00250163, size = 10, normalized size = 0.83 \[ \frac{2 x}{\sqrt{b x}} \]
Antiderivative was successfully verified.
[In] Integrate[1/Sqrt[b*x],x]
[Out]
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Maple [A] time = 0.003, size = 9, normalized size = 0.8 \[ 2\,{\frac{x}{\sqrt{bx}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(b*x)^(1/2),x)
[Out]
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Maxima [A] time = 1.45594, size = 14, normalized size = 1.17 \[ \frac{2 \, \sqrt{b x}}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(b*x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.2521, size = 14, normalized size = 1.17 \[ \frac{2 \, \sqrt{b x}}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(b*x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.064073, size = 8, normalized size = 0.67 \[ \frac{2 \sqrt{b x}}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(b*x)**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.216261, size = 14, normalized size = 1.17 \[ \frac{2 \, \sqrt{b x}}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(b*x),x, algorithm="giac")
[Out]