Optimal. Leaf size=17 \[ -5+3 (5+x)-\log \left (\frac {1+x}{3}\right ) \]
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Rubi [A] time = 0.01, antiderivative size = 10, normalized size of antiderivative = 0.59, number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.091, Rules used = {43} \begin {gather*} 3 x-\log (x+1) \end {gather*}
Antiderivative was successfully verified.
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Rule 43
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (3+\frac {1}{-1-x}\right ) \, dx\\ &=3 x-\log (1+x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 0.71 \begin {gather*} 3 (1+x)-\log (1+x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.64, size = 10, normalized size = 0.59 \begin {gather*} 3 \, x - \log \left (x + 1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.16, size = 11, normalized size = 0.65 \begin {gather*} 3 \, x - \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 = 0.07, size = 11, normalized size = 0.65
method | result | size |
default | \(3 x -\ln \left (x +1\right )\) | \(11\) |
norman | \(3 x -\ln \left (x +1\right )\) | \(11\) |
meijerg | \(3 x -\ln \left (x +1\right )\) | \(11\) |
risch | \(3 x -\ln \left (x +1\right )\) | \(11\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.39, size = 10, normalized size = 0.59 \begin {gather*} 3 \, x - \log \left (x + 1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.93, size = 10, normalized size = 0.59 \begin {gather*} 3\,x-\ln \left (x+1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 7, normalized size = 0.41 \begin {gather*} 3 x - \log {\left (x + 1 \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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