Optimal. Leaf size=15 \[ -\frac {\log (c x)}{x}-\frac {1}{x} \]
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Rubi [A] time = 0.01, antiderivative size = 15, normalized size of antiderivative = 1.00, 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*}
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Mathematica [A] time = 0.00, size = 15, normalized size = 1.00 \[ -\frac {\log (c x)}{x}-\frac {1}{x} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.42, size = 11, normalized size = 0.73 \[ -\frac {\log \left (c x\right ) + 1}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.21, size = 15, normalized size = 1.00 \[ -\frac {\log \left (c x\right )}{x} - \frac {1}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 16, normalized size = 1.07 \[ -\frac {\ln \left (c x \right )}{x}-\frac {1}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.53, size = 15, normalized size = 1.00 \[ -\frac {\log \left (c x\right )}{x} - \frac {1}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.48, size = 11, normalized size = 0.73 \[ -\frac {\ln \left (c\,x\right )+1}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.10, size = 10, normalized size = 0.67 \[ - \frac {\log {\left (c x \right )}}{x} - \frac {1}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
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