DEFINITION 7.1.1 Laplace Transform Let f be a function defined fort2 0. Then the integral L{RE)} = | e-strce) dt is said to be the Laplace transform of f, provided that the integral converge Find L{f(t)}. (Write your answer as a function of s.) {-1, f(t) Ost<1 1, t2 1 L{f(t)} = (s > 0)

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