Optimal. Leaf size=15 \[ -\frac{\log (c x)}{x}-\frac{1}{x} \]
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Rubi [A] time = 0.0071283, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 8, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.125, Rules used = {2304} \[ -\frac{\log (c x)}{x}-\frac{1}{x} \]
Antiderivative was successfully verified.
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Rule 2304
Rubi steps
\begin{align*} \int \frac{\log (c x)}{x^2} \, dx &=-\frac{1}{x}-\frac{\log (c x)}{x}\\ \end{align*}
Mathematica [A] time = 0.0008004, size = 15, normalized size = 1. \[ -\frac{\log (c x)}{x}-\frac{1}{x} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.034, size = 16, normalized size = 1.1 \begin{align*} -{x}^{-1}-{\frac{\ln \left ( cx \right ) }{x}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.990233, size = 20, normalized size = 1.33 \begin{align*} -\frac{\log \left (c x\right )}{x} - \frac{1}{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0.860201, size = 26, normalized size = 1.73 \begin{align*} -\frac{\log \left (c x\right ) + 1}{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.097856, size = 10, normalized size = 0.67 \begin{align*} - \frac{\log{\left (c x \right )}}{x} - \frac{1}{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.61667, size = 20, normalized size = 1.33 \begin{align*} -\frac{\log \left (c x\right )}{x} - \frac{1}{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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