Optimal. Leaf size=8 \[ -\frac {1}{\log (c x)} \]
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Rubi [A] time = 0.01, antiderivative size = 8, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 10, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {2302, 30} \[ -\frac {1}{\log (c x)} \]
Antiderivative was successfully verified.
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Rule 30
Rule 2302
Rubi steps
\begin {align*} \int \frac {1}{x \log ^2(c x)} \, dx &=\operatorname {Subst}\left (\int \frac {1}{x^2} \, dx,x,\log (c x)\right )\\ &=-\frac {1}{\log (c x)}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 1.00 \[ -\frac {1}{\log (c x)} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.42, size = 8, normalized size = 1.00 \[ -\frac {1}{\log \left (c x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.20, size = 8, normalized size = 1.00 \[ -\frac {1}{\log \left (c x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 9, normalized size = 1.12 \[ -\frac {1}{\ln \left (c x \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.64, size = 8, normalized size = 1.00 \[ -\frac {1}{\log \left (c x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.56, size = 8, normalized size = 1.00 \[ -\frac {1}{\ln \left (c\,x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.09, size = 7, normalized size = 0.88 \[ - \frac {1}{\log {\left (c x \right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
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