Optimal. Leaf size=13 \[ x^2+3 (-2+x+\log (2 x)) \]
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Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 0.85, number of steps used = 2, number of rules used = 1, integrand size = 14, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.071, Rules used = {14} \begin {gather*} x^2+3 x+3 \log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (3+\frac {3}{x}+2 x\right ) \, dx\\ &=3 x+x^2+3 \log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 0.85 \begin {gather*} 3 x+x^2+3 \log (x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.87, size = 11, normalized size = 0.85 \begin {gather*} x^{2} + 3 \, x + 3 \, \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.13, size = 12, normalized size = 0.92 \begin {gather*} x^{2} + 3 \, x + 3 \, \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 12, normalized size = 0.92
method | result | size |
default | \(x^{2}+3 x +3 \ln \relax (x )\) | \(12\) |
norman | \(x^{2}+3 x +3 \ln \relax (x )\) | \(12\) |
risch | \(x^{2}+3 x +3 \ln \relax (x )\) | \(12\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.34, size = 11, normalized size = 0.85 \begin {gather*} x^{2} + 3 \, x + 3 \, \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 7.26, size = 11, normalized size = 0.85 \begin {gather*} 3\,x+3\,\ln \relax (x)+x^2 \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 10, normalized size = 0.77 \begin {gather*} x^{2} + 3 x + 3 \log {\relax (x )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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