Optimal. Leaf size=8 \[ \frac {1}{2} \log (x+1) \]
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Rubi [A] time = 0.00, antiderivative size = 8, 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} \begin {gather*} \frac {1}{2} \log (x+1) \end {gather*}
Antiderivative was successfully verified.
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Rule 31
Rubi steps
\begin {align*} \int \frac {1}{2+2 x} \, dx &=\frac {1}{2} \log (1+x)\\ \end {align*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 1.25 \begin {gather*} \frac {1}{2} \log (2 x+2) \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \frac {1}{2+2 x} \, dx \end {gather*}
Verification is not applicable to the result.
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fricas [A] time = 1.12, size = 6, normalized size = 0.75 \begin {gather*} \frac {1}{2} \, \log \left (x + 1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.90, size = 7, normalized size = 0.88 \begin {gather*} \frac {1}{2} \, \log \left ({\left | x + 1 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 9, normalized size = 1.12 \begin {gather*} \frac {\ln \left (2 x +2\right )}{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.34, size = 6, normalized size = 0.75 \begin {gather*} \frac {1}{2} \, \log \left (x + 1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.15, size = 6, normalized size = 0.75 \begin {gather*} \frac {\ln \left (x+1\right )}{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 7, normalized size = 0.88 \begin {gather*} \frac {\log {\left (2 x + 2 \right )}}{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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