Use the definition of laplace transforms to find ℒ { f(t) } given that
f(t)=\left\{\begin{matrix} -1, 0\leq t< 1 & \\ 1, t\geq 1& \end{matrix}\right.
then rewrite f(t) as a sum of step functions, uc(t), and show that by taking laplace transforms, this yields the same answer as your direct computation
use the definition of laplace transforms to find l{f(t)} given that 0t1 -1, f(t) 1, t 1 then rewrite f (t) as a sum of step f