Optimal. Leaf size=18 \[ -76-e^6+x-\log \left (\frac {4+x}{4}\right ) \]
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Rubi [A]
time = 0.00, antiderivative size = 8, normalized size of antiderivative = 0.44, 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 = {45}
\begin {gather*} x-\log (x+4) \end {gather*}
Antiderivative was successfully verified.
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Rule 45
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (1+\frac {1}{-4-x}\right ) \, dx\\ &=x-\log (4+x)\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 8, normalized size = 0.44 \begin {gather*} x-\log (4+x) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.53, size = 9, normalized size = 0.50
method | result | size |
default | \(x -\ln \left (4+x \right )\) | \(9\) |
norman | \(x -\ln \left (4+x \right )\) | \(9\) |
risch | \(x -\ln \left (4+x \right )\) | \(9\) |
meijerg | \(-\ln \left (1+\frac {x}{4}\right )+x\) | \(11\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 8, normalized size = 0.44 \begin {gather*} x - \log \left (x + 4\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.37, size = 8, normalized size = 0.44 \begin {gather*} x - \log \left (x + 4\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 5, normalized size = 0.28 \begin {gather*} x - \log {\left (x + 4 \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 9, normalized size = 0.50 \begin {gather*} x - \log \left ({\left | x + 4 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.03, size = 8, normalized size = 0.44 \begin {gather*} x-\ln \left (x+4\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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