Optimal. Leaf size=12 \[ e^2 \text {Ei}(-2 (1-t)) \]
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Rubi [A] time = 0.01, antiderivative size = 12, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.091, Rules used = {2178} \[ e^2 \text {ExpIntegralEi}(-2 (1-t)) \]
Antiderivative was successfully verified.
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Rule 2178
Rubi steps
\begin {align*} \int \frac {e^{2 t}}{-1+t} \, dt &=e^2 \text {Ei}(-2 (1-t))\\ \end {align*}
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Mathematica [A] time = 0.02, size = 10, normalized size = 0.83 \[ e^2 \text {Ei}(2 (t-1)) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.38, size = 9, normalized size = 0.75 \[ {\rm Ei}\left (2 \, t - 2\right ) e^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.01, size = 9, normalized size = 0.75 \[ {\rm Ei}\left (2 \, t - 2\right ) e^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 12, normalized size = 1.00 \[ -{\mathrm e}^{2} \Ei \left (1, -2 t +2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.67, size = 11, normalized size = 0.92 \[ -e^{2} E_{1}\left (-2 \, t + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 9, normalized size = 0.75 \[ {\mathrm {e}}^2\,\mathrm {ei}\left (2\,t-2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [F] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {e^{2 t}}{t - 1}\, dt \]
Verification of antiderivative is not currently implemented for this CAS.
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