Optimal. Leaf size=15 \[ -\frac{a}{x}-\frac{2 b}{\sqrt{x}} \]
[Out]
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Rubi [A] time = 0.0164164, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077 \[ -\frac{a}{x}-\frac{2 b}{\sqrt{x}} \]
Antiderivative was successfully verified.
[In] Int[(a + b*Sqrt[x])/x^2,x]
[Out]
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Rubi in Sympy [A] time = 2.81284, size = 12, normalized size = 0.8 \[ - \frac{a}{x} - \frac{2 b}{\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((a+b*x**(1/2))/x**2,x)
[Out]
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Mathematica [A] time = 0.00598624, size = 15, normalized size = 1. \[ -\frac{a}{x}-\frac{2 b}{\sqrt{x}} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*Sqrt[x])/x^2,x]
[Out]
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Maple [A] time = 0.002, size = 14, normalized size = 0.9 \[ -{\frac{a}{x}}-2\,{\frac{b}{\sqrt{x}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((a+b*x^(1/2))/x^2,x)
[Out]
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Maxima [A] time = 1.43654, size = 18, normalized size = 1.2 \[ -\frac{2 \, b \sqrt{x} + a}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*sqrt(x) + a)/x^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.232864, size = 18, normalized size = 1.2 \[ -\frac{2 \, b \sqrt{x} + a}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*sqrt(x) + a)/x^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.55826, size = 12, normalized size = 0.8 \[ - \frac{a}{x} - \frac{2 b}{\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a+b*x**(1/2))/x**2,x)
[Out]
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GIAC/XCAS [A] time = 0.216703, size = 18, normalized size = 1.2 \[ -\frac{2 \, b \sqrt{x} + a}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*sqrt(x) + a)/x^2,x, algorithm="giac")
[Out]