Optimal. Leaf size=12 \[ e^2 \text{ExpIntegralEi}(-2 (1-t)) \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0269893, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091 \[ e^2 \text{ExpIntegralEi}(-2 (1-t)) \]
Antiderivative was successfully verified.
[In] Int[E^(2*t)/(-1 + t),t]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 1.59817, size = 8, normalized size = 0.67 \[ e^{2} \operatorname{Ei}{\left (2 t - 2 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(2*t)/(-1+t),t)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00358669, size = 10, normalized size = 0.83 \[ e^2 \text{ExpIntegralEi}(2 (t-1)) \]
Antiderivative was successfully verified.
[In] Integrate[E^(2*t)/(-1 + t),t]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.006, size = 12, normalized size = 1. \[ -{{\rm e}^{2}}{\it Ei} \left ( 1,-2\,t+2 \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(2*t)/(-1+t),t)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.43033, size = 15, normalized size = 1.25 \[ -e^{2} exp_integral_e\left (1, -2 \, t + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(2*t)/(t - 1),t, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.199384, size = 12, normalized size = 1. \[{\rm Ei}\left (2 \, t - 2\right ) e^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(2*t)/(t - 1),t, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [F] time = 0., size = 0, normalized size = 0. \[ \int \frac{e^{2 t}}{t - 1}\, dt \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(2*t)/(-1+t),t)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.224413, size = 12, normalized size = 1. \[{\rm Ei}\left (2 \, t - 2\right ) e^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(2*t)/(t - 1),t, algorithm="giac")
[Out]