Optimal. Leaf size=13 \[ e^x+x+\log \left (\frac {2}{x}\right )+\log (x) \]
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Rubi [A] time = 0.00, antiderivative size = 5, normalized size of antiderivative = 0.38, number of steps used = 2, number of rules used = 1, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {2194} \begin {gather*} x+e^x \end {gather*}
Antiderivative was successfully verified.
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Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=x+\int e^x \, dx\\ &=e^x+x\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 5, normalized size = 0.38 \begin {gather*} e^x+x \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.73, size = 4, normalized size = 0.31 \begin {gather*} x + e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.16, size = 4, normalized size = 0.31 \begin {gather*} x + e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 5, normalized size = 0.38
method | result | size |
default | \({\mathrm e}^{x}+x\) | \(5\) |
norman | \({\mathrm e}^{x}+x\) | \(5\) |
risch | \({\mathrm e}^{x}+x\) | \(5\) |
derivativedivides | \({\mathrm e}^{x}+\ln \left ({\mathrm e}^{x}\right )\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 4, normalized size = 0.31 \begin {gather*} x + e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 4, normalized size = 0.31 \begin {gather*} x+{\mathrm {e}}^x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 3, normalized size = 0.23 \begin {gather*} x + e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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