Optimal. Leaf size=8 \[ a x+b \log (x) \]
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Rubi [A] time = 0.0019793, antiderivative size = 8, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ a x+b \log (x) \]
Antiderivative was successfully verified.
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Rubi steps
\begin{align*} \int \left (a+\frac{b}{x}\right ) \, dx &=a x+b \log (x)\\ \end{align*}
Mathematica [A] time = 0.0006521, size = 8, normalized size = 1. \[ a x+b \log (x) \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 9, normalized size = 1.1 \begin{align*} ax+b\ln \left ( x \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.969575, size = 11, normalized size = 1.38 \begin{align*} a x + b \log \left (x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.49705, size = 22, normalized size = 2.75 \begin{align*} a x + b \log \left (x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.076756, size = 7, normalized size = 0.88 \begin{align*} a x + b \log{\left (x \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.17525, size = 12, normalized size = 1.5 \begin{align*} a x + b \log \left ({\left | x \right |}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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