Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral 00 L{f(t)} e-stf(t) dt %3D is said to be the Laplace transform of f, provided that the integral converges. Find L{f(t)}. (Write your answer as a function of s.) S6, 0st< 3 f(t): %3D 10, t 3 L{f(t)} = (s > 0) %3D

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