Optimal. Leaf size=8 \[ a \log (x)+b x \]
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Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {43} \[ a \log (x)+b x \]
Antiderivative was successfully verified.
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Rule 43
Rubi steps
\begin {align*} \int \frac {a+b x}{x} \, dx &=\int \left (b+\frac {a}{x}\right ) \, dx\\ &=b x+a \log (x)\\ \end {align*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 1.00 \[ a \log (x)+b x \]
Antiderivative was successfully verified.
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fricas [A] time = 0.39, size = 8, normalized size = 1.00 \[ b x + a \log \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.06, size = 9, normalized size = 1.12 \[ b x + a \log \left ({\left | x \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 9, normalized size = 1.12 \[ a \ln \relax (x )+b x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.84, size = 8, normalized size = 1.00 \[ b x + a \log \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 8, normalized size = 1.00 \[ b\,x+a\,\ln \relax (x) \]
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 \[ a \log {\relax (x )} + b x \]
Verification of antiderivative is not currently implemented for this CAS.
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