Optimal. Leaf size=13 \[ 5+e^3+x+\log (4)+2 x \log (x) \]
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Rubi [A] time = 0.00, antiderivative size = 7, normalized size of antiderivative = 0.54, number of steps used = 2, number of rules used = 1, integrand size = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {2295} \begin {gather*} x+2 x \log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 2295
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=3 x+2 \int \log (x) \, dx\\ &=x+2 x \log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 7, normalized size = 0.54 \begin {gather*} x+2 x \log (x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.48, size = 7, normalized size = 0.54 \begin {gather*} 2 \, x \log \relax (x) + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.24, size = 7, normalized size = 0.54 \begin {gather*} 2 \, x \log \relax (x) + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 8, normalized size = 0.62
method | result | size |
default | \(x +2 x \ln \relax (x )\) | \(8\) |
norman | \(x +2 x \ln \relax (x )\) | \(8\) |
risch | \(x +2 x \ln \relax (x )\) | \(8\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.34, size = 7, normalized size = 0.54 \begin {gather*} 2 \, x \log \relax (x) + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 5.33, size = 8, normalized size = 0.62 \begin {gather*} x\,\left (2\,\ln \relax (x)+1\right ) \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 = 0.54 \begin {gather*} 2 x \log {\relax (x )} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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