Jse Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t ≥ 0. Then the integral L{f(t)} = L{f(t)} = ·Sº is said to be the Laplace transform of f, provided that the integral converges. o find L{f(t)}. (Write your answer as a function of s.) So, (cos(t), f(t) = e-stf(t) dt = 0 ≤t<π/2 t > π/2 (s > 0)

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