Optimal. Leaf size=12 \[ -\frac{2}{b \sqrt{b x}} \]
[Out]
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Rubi [A] time = 0.00656573, 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 \[ -\frac{2}{b \sqrt{b x}} \]
Antiderivative was successfully verified.
[In] Int[(b*x)^(-3/2),x]
[Out]
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Rubi in Sympy [A] time = 1.33349, size = 10, normalized size = 0.83 \[ - \frac{2}{b \sqrt{b x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(b*x)**(3/2),x)
[Out]
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Mathematica [A] time = 0.00202389, size = 10, normalized size = 0.83 \[ -\frac{2 x}{(b x)^{3/2}} \]
Antiderivative was successfully verified.
[In] Integrate[(b*x)^(-3/2),x]
[Out]
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Maple [A] time = 0.003, size = 9, normalized size = 0.8 \[ -2\,{\frac{x}{ \left ( bx \right ) ^{3/2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(b*x)^(3/2),x)
[Out]
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Maxima [A] time = 1.42175, size = 14, normalized size = 1.17 \[ -\frac{2}{\sqrt{b x} b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(-3/2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.216931, size = 14, normalized size = 1.17 \[ -\frac{2}{\sqrt{b x} b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(-3/2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.070462, size = 10, normalized size = 0.83 \[ - \frac{2}{b \sqrt{b x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(b*x)**(3/2),x)
[Out]
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GIAC/XCAS [A] time = 0.227453, size = 14, normalized size = 1.17 \[ -\frac{2}{\sqrt{b x} b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(-3/2),x, algorithm="giac")
[Out]