Optimal. Leaf size=8 \[ \frac {\log ^3(x)}{3} \]
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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 = 8, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.250, Rules used = {2302, 30} \[ \frac {\log ^3(x)}{3} \]
Antiderivative was successfully verified.
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Rule 30
Rule 2302
Rubi steps
\begin {align*} \int \frac {\log ^2(x)}{x} \, dx &=\operatorname {Subst}\left (\int x^2 \, dx,x,\log (x)\right )\\ &=\frac {\log ^3(x)}{3}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 1.00 \[ \frac {\log ^3(x)}{3} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.43, size = 6, normalized size = 0.75 \[ \frac {1}{3} \, \log \relax (x)^{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.07, size = 6, normalized size = 0.75 \[ \frac {1}{3} \, \log \relax (x)^{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 7, normalized size = 0.88 \[ \frac {\ln \relax (x )^{3}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.42, size = 6, normalized size = 0.75 \[ \frac {1}{3} \, \log \relax (x)^{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.06, size = 6, normalized size = 0.75 \[ \frac {{\ln \relax (x)}^3}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.09, size = 5, normalized size = 0.62 \[ \frac {\log {\relax (x )}^{3}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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