Set up an integral for finding the laplace transform of the following function:

f(t)={0, 0 ≤ t < 6

{t-7, 6 ≤ t.

f(s)= lt {f(t)} = ∫

find the antiderivative (with constant term 0) corresponding to the previous part.
evaluate appropriate limits to compute the laplace transform of f(t): f(s)={f(t)}=
where does the laplace transform you found exist? in other words, what is the domain of f(