73 views

The bilateral Laplace transform of a function $f(t) = \begin{cases} 1 & \text{if } a \leq t \leq b \\ 0 & \text{otherwise} \end{cases}$ is

1. $\dfrac{a-b}{s} \\$
2. $\dfrac{e^{s}(a-b)}{s} \\$
3. $\dfrac{e^{-as}-e^{-bs}}{s} \\$
4. $\dfrac{e^{s(a-b)}}{s}$