Optimal. Leaf size=12 \[ -8+e^3+x^2+\log (5)+\log (x) \]
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Rubi [A] time = 0.00, antiderivative size = 6, normalized size of antiderivative = 0.50, 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 = {14} \begin {gather*} x^2+\log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (\frac {1}{x}+2 x\right ) \, dx\\ &=x^2+\log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 6, normalized size = 0.50 \begin {gather*} x^2+\log (x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.10, size = 6, normalized size = 0.50 \begin {gather*} x^{2} + \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.31, size = 10, normalized size = 0.83 \begin {gather*} x^{2} + \frac {1}{2} \, \log \left (x^{2}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.04, size = 7, normalized size = 0.58
method | result | size |
default | \(\ln \relax (x )+x^{2}\) | \(7\) |
norman | \(\ln \relax (x )+x^{2}\) | \(7\) |
risch | \(\ln \relax (x )+x^{2}\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.52, size = 10, normalized size = 0.83 \begin {gather*} x^{2} + \frac {1}{2} \, \log \left (x^{2}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 6, normalized size = 0.50 \begin {gather*} \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 = 5, normalized size = 0.42 \begin {gather*} x^{2} + \log {\relax (x )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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