Optimal. Leaf size=12 \[ -2 x \sqrt{\frac{b}{x^3}} \]
[Out]
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Rubi [A] time = 0.00691419, 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 \[ -2 x \sqrt{\frac{b}{x^3}} \]
Antiderivative was successfully verified.
[In] Int[Sqrt[b/x^3],x]
[Out]
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Rubi in Sympy [A] time = 1.22009, size = 12, normalized size = 1. \[ - 2 x \sqrt{\frac{b}{x^{3}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b/x**3)**(1/2),x)
[Out]
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Mathematica [A] time = 0.00254706, size = 12, normalized size = 1. \[ -2 x \sqrt{\frac{b}{x^3}} \]
Antiderivative was successfully verified.
[In] Integrate[Sqrt[b/x^3],x]
[Out]
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Maple [A] time = 0.003, size = 11, normalized size = 0.9 \[ -2\,x\sqrt{{\frac{b}{{x}^{3}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b/x^3)^(1/2),x)
[Out]
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Maxima [A] time = 1.47617, size = 14, normalized size = 1.17 \[ -2 \, x \sqrt{\frac{b}{x^{3}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(b/x^3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.218621, size = 14, normalized size = 1.17 \[ -2 \, x \sqrt{\frac{b}{x^{3}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(b/x^3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.23959, size = 17, normalized size = 1.42 \[ - 2 \sqrt{b} x \sqrt{\frac{1}{x^{3}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b/x**3)**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.228015, size = 11, normalized size = 0.92 \[ -\frac{2 \, b}{\sqrt{b x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(b/x^3),x, algorithm="giac")
[Out]