From the definition of the Laplace transform (i.e., using explicit integration)

Chapter 13, Problem 13.2.1

(choose chapter or problem)

From the definition of the Laplace transform (i.e., using explicit integration), determine the Laplace transform of f(t) =: (a) 1 (b) eat (c) sin t [Hint: sin t = Im(eit) .] (d) cos t [Hint: cos t = Re(eit) .] (e) sinh at (f) cosh at (g) H(t t0), t0 > 0

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