Optimal. Leaf size=10 \[ \frac {1}{3} \log (3 x+2) \]
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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} \[ \frac {1}{3} \log (3 x+2) \]
Antiderivative was successfully verified.
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Rule 31
Rubi steps
\begin {align*} \int \frac {1}{2+3 x} \, dx &=\frac {1}{3} \log (2+3 x)\\ \end {align*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 1.00 \[ \frac {1}{3} \log (3 x+2) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.39, size = 8, normalized size = 0.80 \[ \frac {1}{3} \, \log \left (3 \, x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.01, size = 9, normalized size = 0.90 \[ \frac {1}{3} \, \log \left ({\left | 3 \, x + 2 \right |}\right ) \]
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 \[ \frac {\ln \left (3 x +2\right )}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.54, size = 8, normalized size = 0.80 \[ \frac {1}{3} \, \log \left (3 \, x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.07, size = 6, normalized size = 0.60 \[ \frac {\ln \left (x+\frac {2}{3}\right )}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 7, normalized size = 0.70 \[ \frac {\log {\left (3 x + 2 \right )}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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