In Exercises 88-91, the Laplace transform of a function f is the function Lf (s) of the variable s defined by the improper integral (if it converges): Lf(s) = | f(x)e* dx Laplace transforms are widely used in physics and engineering. 89. Show that if f(x) = sin ax, then L f (s) = %3D s2 + a2"

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