If f(t) is continuous for t > 0, the Laplace transform of f is the function F

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If f(t) is continuous for t > 0, the Laplace transform of f is the function F defined by

and the domain of is the set consisting of all numbers for which the integral converges. Find the Laplace transforms of the following functions.
(a) f (t) = 1
(b) f (t) = et
(c) f (t) = t

F6) = F(s) = SMe dt
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