Optimal. Leaf size=12 \[ -\frac {\log (2-b x)}{b} \]
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Rubi [A] time = 0.00, antiderivative size = 12, 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 = {31} \[ -\frac {\log (2-b x)}{b} \]
Antiderivative was successfully verified.
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Rule 31
Rubi steps
\begin {align*} \int \frac {1}{2-b x} \, dx &=-\frac {\log (2-b x)}{b}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 1.00 \[ -\frac {\log (2-b x)}{b} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.44, size = 11, normalized size = 0.92 \[ -\frac {\log \left (b x - 2\right )}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.10, size = 12, normalized size = 1.00 \[ -\frac {\log \left ({\left | b x - 2 \right |}\right )}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 13, normalized size = 1.08 \[ -\frac {\ln \left (-b x +2\right )}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.42, size = 11, normalized size = 0.92 \[ -\frac {\log \left (b x - 2\right )}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 11, normalized size = 0.92 \[ -\frac {\ln \left (b\,x-2\right )}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 8, normalized size = 0.67 \[ - \frac {\log {\left (b x - 2 \right )}}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
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