Optimal. Leaf size=11 \[ a \log (x)-\frac{b}{x} \]
[Out]
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Rubi [A] time = 0.0144776, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091 \[ a \log (x)-\frac{b}{x} \]
Antiderivative was successfully verified.
[In] Int[(a + b/x)/x,x]
[Out]
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Rubi in Sympy [A] time = 3.01052, size = 7, normalized size = 0.64 \[ a \log{\left (x \right )} - \frac{b}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((a+b/x)/x,x)
[Out]
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Mathematica [A] time = 0.00338766, size = 11, normalized size = 1. \[ a \log (x)-\frac{b}{x} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b/x)/x,x]
[Out]
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Maple [A] time = 0.007, size = 12, normalized size = 1.1 \[ -{\frac{b}{x}}+a\ln \left ( x \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((a+b/x)/x,x)
[Out]
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Maxima [A] time = 1.46568, size = 15, normalized size = 1.36 \[ a \log \left (x\right ) - \frac{b}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)/x,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.221038, size = 18, normalized size = 1.64 \[ \frac{a x \log \left (x\right ) - b}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)/x,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.0379, size = 7, normalized size = 0.64 \[ a \log{\left (x \right )} - \frac{b}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a+b/x)/x,x)
[Out]
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GIAC/XCAS [A] time = 0.227991, size = 16, normalized size = 1.45 \[ a{\rm ln}\left ({\left | x \right |}\right ) - \frac{b}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)/x,x, algorithm="giac")
[Out]