LT (1-e^-t)*(HeavisideTheta(t)-HeavisideTheta(t-1))

Input

ℒ_t[(1 - e^(-t)) (θ(t) - θ(t - 1))](s)

Result

(e^(-s - 1) (s + e^(s + 1) - e (s + 1)))/(s (s + 1))