2. Laplace Transform of an Integral and a Derivative (a) Consider the function, f(t) = So exp(-37) cos(27)dr. Without integrating, determine the Laplace transform of f(t). (b) Consider the funtion, f(t) = t(d/dt)[exp(-t) cos(t)]. Without carrying out the differ- entiation, determine the Laplace transform of f(t).

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