What would be the laplace transform of a function of f or Lleft{f(t)right}?

Step 1
Given:
What would be the Laplace transform of a function of f or $L\{f(t)\}$?
Step 2
Explanation:
Definition:
Let f(t) be a function of t defined for all t>0 then the Laplace transform of f(t) denoted by $L[f(t)]$ is defined by
$L[f(t)]={\int }_0^{\mathrm{\infty }}f(t)dt=F(s)\dots (1)$
where s is a parameter which may be real or complex
The Laplace transform of f(t) exists if the integral of (1) exists.