Use the following definition of a Laplace transform. Let f be a function defined for t 2 0. Then the integral Lf{t} = | e-stft) dt is said to be the Laplace transform of f, provided that the integral converges. ( t, 0st<1 f(t) 11, t21 Complete the integral(s) that defines L{f{t)}. 00 L{f(t)} = dt + dt Find L{f(t)}. (Write your answer as a function of s.) L{f(t)} (s > 0)

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