The function f(t) 2tet 2 coset 2 is not of exponential order. Nevertheless, show that
Chapter 4, Problem 51(choose chapter or problem)
The function \(f(t)=2 t e^{t^{2}} \cos e^{t^{2}}\) is not of exponential order. Nevertheless, show that the Laplace transform \(\mathscr{L}\left\{2 t e^{t^{2}} \cos e^{t^{t^{2}}}\right\}\) exists. [Hint: Use integration by parts.]
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