Optimal. Leaf size=14 \[ \frac {2 e^{-2-e^x}}{x} \]
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Rubi [A] time = 0.04, antiderivative size = 14, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 21, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.048, Rules used = {2288} \begin {gather*} \frac {2 e^{-e^x-2}}{x} \end {gather*}
Antiderivative was successfully verified.
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Rule 2288
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {2 e^{-2-e^x}}{x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.01, size = 14, normalized size = 1.00 \begin {gather*} \frac {2 e^{-2-e^x}}{x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.66, size = 12, normalized size = 0.86 \begin {gather*} \frac {2 \, e^{\left (-e^{x} - 2\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.33, size = 12, normalized size = 0.86 \begin {gather*} \frac {2 \, e^{\left (-e^{x} - 2\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.08, size = 13, normalized size = 0.93
method | result | size |
risch | \(\frac {2 \,{\mathrm e}^{-2-{\mathrm e}^{x}}}{x}\) | \(13\) |
norman | \(\frac {2 \,{\mathrm e} \,{\mathrm e}^{x} {\mathrm e}^{-{\mathrm e}^{x}-3-x}}{x}\) | \(18\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.45, size = 12, normalized size = 0.86 \begin {gather*} \frac {2 \, e^{\left (-e^{x} - 2\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 1.81, size = 12, normalized size = 0.86 \begin {gather*} \frac {2\,{\mathrm {e}}^{-2}\,{\mathrm {e}}^{-{\mathrm {e}}^x}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.14, size = 19, normalized size = 1.36 \begin {gather*} \frac {2 e e^{x} e^{- x - e^{x} - 3}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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