Let f(t) be a function on [0, o0). The Laplace transform of f is the function F defined by the integral F(s) = Te - stf(t)dt. Use this definition to determine the Laplace transform of the following...

Extracted text: Let f(t) be a function on [0, o0). The Laplace transform of f is the function F defined by the integral F(s) = Te - stf(t)dt. Use this definition to determine the Laplace transform of the following function. f(t) =tet The Laplace transform of f(t) is F(s) = (Type an expression using s as the variable.) It is defined for s> (Type an integer or a fraction.)