Let f(t) be a function on [0, ). The Laplace transform of f is the function F defined by the integral F(s) = estf(t)dt. Use this definition to determine the Laplace transform of the following function. f(t) = e sin 3t The Laplace transform of f(t) is F(s) = (Type an expression using s as the variable.) It is defined for s>0. (Type an integer or a fraction.)