Optimal. Leaf size=16 \[ 3+2 x \left (-\frac {5}{7 x}+x+\log (x)\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 0.69, 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 = {2295} \begin {gather*} 2 x^2+2 x \log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 2295
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=2 x+2 x^2+2 \int \log (x) \, dx\\ &=2 x^2+2 x \log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 0.69 \begin {gather*} 2 x^2+2 x \log (x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.57, size = 11, normalized size = 0.69 \begin {gather*} 2 \, x^{2} + 2 \, x \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.11, size = 11, normalized size = 0.69 \begin {gather*} 2 \, x^{2} + 2 \, x \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 12, normalized size = 0.75
method | result | size |
default | \(2 x \ln \relax (x )+2 x^{2}\) | \(12\) |
norman | \(2 x \ln \relax (x )+2 x^{2}\) | \(12\) |
risch | \(2 x \ln \relax (x )+2 x^{2}\) | \(12\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 11, normalized size = 0.69 \begin {gather*} 2 \, x^{2} + 2 \, x \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 4.29, size = 7, normalized size = 0.44 \begin {gather*} 2\,x\,\left (x+\ln \relax (x)\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.13, size = 10, normalized size = 0.62 \begin {gather*} 2 x^{2} + 2 x \log {\relax (x )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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