Optimal. Leaf size=12 \[ 3 x-7 \log (2 x+3) \]
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Rubi [A] time = 0.01, antiderivative size = 12, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.077, Rules used = {43} \[ 3 x-7 \log (2 x+3) \]
Antiderivative was successfully verified.
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Rule 43
Rubi steps
\begin {align*} \int \frac {-5+6 x}{3+2 x} \, dx &=\int \left (3-\frac {14}{3+2 x}\right ) \, dx\\ &=3 x-7 \log (3+2 x)\\ \end {align*}
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Mathematica [A] time = 0.00, size = 15, normalized size = 1.25 \[ 3 x-7 \log (2 x+3)+\frac {9}{2} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 12, normalized size = 1.00 \[ 3 \, x - 7 \, \log \left (2 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.00, size = 13, normalized size = 1.08 \[ 3 \, x - 7 \, \log \left ({\left | 2 \, x + 3 \right |}\right ) \]
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 \[ 3 x -7 \ln \left (2 x +3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.48, size = 12, normalized size = 1.00 \[ 3 \, x - 7 \, \log \left (2 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.16, size = 10, normalized size = 0.83 \[ 3\,x-7\,\ln \left (x+\frac {3}{2}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 10, normalized size = 0.83 \[ 3 x - 7 \log {\left (2 x + 3 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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