Use 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)}= == √ e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. F(t) = {cos(t), 0 ≤ t<π t≥ π Complete the integral(s) that defines L{f(t)}. L{f(t)} = ]) dt + √2 ( )dt Find L{f(t)}. (Write your answer as a function of s.) L{f(t)} (s > 0)

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