Optimal. Leaf size=17 \[ 2 a \sqrt{x}-\frac{2 b}{\sqrt{x}} \]
[Out]
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Rubi [A] time = 0.0140354, antiderivative size = 17, 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 \[ 2 a \sqrt{x}-\frac{2 b}{\sqrt{x}} \]
Antiderivative was successfully verified.
[In] Int[(a + b/x)/Sqrt[x],x]
[Out]
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Rubi in Sympy [A] time = 2.83582, size = 15, normalized size = 0.88 \[ 2 a \sqrt{x} - \frac{2 b}{\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((a+b/x)/x**(1/2),x)
[Out]
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Mathematica [A] time = 0.00744568, size = 14, normalized size = 0.82 \[ \frac{2 (a x-b)}{\sqrt{x}} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b/x)/Sqrt[x],x]
[Out]
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Maple [A] time = 0.004, size = 13, normalized size = 0.8 \[ 2\,{\frac{ax-b}{\sqrt{x}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((a+b/x)/x^(1/2),x)
[Out]
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Maxima [A] time = 1.43797, size = 18, normalized size = 1.06 \[ 2 \, a \sqrt{x} - \frac{2 \, b}{\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)/sqrt(x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.22516, size = 16, normalized size = 0.94 \[ \frac{2 \,{\left (a x - b\right )}}{\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)/sqrt(x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.3605, size = 15, normalized size = 0.88 \[ 2 a \sqrt{x} - \frac{2 b}{\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a+b/x)/x**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.21857, size = 18, normalized size = 1.06 \[ 2 \, a \sqrt{x} - \frac{2 \, b}{\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)/sqrt(x),x, algorithm="giac")
[Out]