Use Definition 7.1.1,
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for
t ≥ 0.
Then the integral
ℒ{f(t)} =
∞
e−stf(t) dt

0
is said to be the Laplace transform of f, provided that the integral converges.
to find
ℒ{f(t)}.
(Write your answer as a function of s.)