Optimal. Leaf size=9 \[ \sqrt{b x^2} \]
[Out]
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Rubi [A] time = 0.00514821, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.154 \[ \sqrt{b x^2} \]
Antiderivative was successfully verified.
[In] Int[Sqrt[b*x^2]/x,x]
[Out]
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Rubi in Sympy [A] time = 2.27226, size = 7, normalized size = 0.78 \[ \sqrt{b x^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**2)**(1/2)/x,x)
[Out]
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Mathematica [A] time = 0.0033611, size = 14, normalized size = 1.56 \[ \frac{b x^2}{\sqrt{b x^2}} \]
Antiderivative was successfully verified.
[In] Integrate[Sqrt[b*x^2]/x,x]
[Out]
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Maple [A] time = 0.002, size = 8, normalized size = 0.9 \[ \sqrt{b{x}^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^2)^(1/2)/x,x)
[Out]
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Maxima [F] time = 0., size = 0, normalized size = 0. \[ \text{Exception raised: RuntimeError} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(b*x^2)/x,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.234135, size = 9, normalized size = 1. \[ \sqrt{b x^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(b*x^2)/x,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.390247, size = 10, normalized size = 1.11 \[ \sqrt{b} \sqrt{x^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**2)**(1/2)/x,x)
[Out]
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GIAC/XCAS [A] time = 0.207244, size = 9, normalized size = 1. \[ \sqrt{b} x{\rm sign}\left (x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(b*x^2)/x,x, algorithm="giac")
[Out]