Optimal. Leaf size=10 \[ -\frac {1}{6} \log (2-3 x) \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {31} \[ -\frac {1}{6} \log (2-3 x) \]
Antiderivative was successfully verified.
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Rule 31
Rubi steps
\begin {align*} \int \frac {1}{4-6 x} \, dx &=-\frac {1}{6} \log (2-3 x)\\ \end {align*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 1.00 \[ -\frac {1}{6} \log (4-6 x) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.49, size = 8, normalized size = 0.80 \[ -\frac {1}{6} \, \log \left (3 \, x - 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.15, size = 9, normalized size = 0.90 \[ -\frac {1}{6} \, \log \left ({\left | 3 \, x - 2 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 9, normalized size = 0.90 \[ -\frac {\ln \left (-6 x +4\right )}{6} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.34, size = 8, normalized size = 0.80 \[ -\frac {1}{6} \, \log \left (3 \, x - 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.08, size = 6, normalized size = 0.60 \[ -\frac {\ln \left (x-\frac {2}{3}\right )}{6} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 8, normalized size = 0.80 \[ - \frac {\log {\left (6 x - 4 \right )}}{6} \]
Verification of antiderivative is not currently implemented for this CAS.
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