Optimal. Leaf size=12 \[ -\frac{\log (2-b x)}{b} \]
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Rubi [A] time = 0.0014485, antiderivative size = 12, normalized size of antiderivative = 1., 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*}
Mathematica [A] time = 0.0011097, size = 12, normalized size = 1. \[ -\frac{\log (2-b x)}{b} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 13, normalized size = 1.1 \begin{align*} -{\frac{\ln \left ( -bx+2 \right ) }{b}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.954928, size = 15, normalized size = 1.25 \begin{align*} -\frac{\log \left (b x - 2\right )}{b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.93477, size = 23, normalized size = 1.92 \begin{align*} -\frac{\log \left (b x - 2\right )}{b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.060902, size = 8, normalized size = 0.67 \begin{align*} - \frac{\log{\left (b x - 2 \right )}}{b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.05433, size = 16, normalized size = 1.33 \begin{align*} -\frac{\log \left ({\left | b x - 2 \right |}\right )}{b} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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