Could you go into more detail for the given solution to this Laplace question? Some of the steps have been left out

Chapter 6, Section 6.1, Question 14 Using integration by parts, find the Laplace transform of the given function n is a positive integer and a is a real constant. f (t) = treat Laplace transforms of f (#), denoted by L { f (#)} or by F(s), is defined by the equation Lif (1)}-fe "f (1) dt = F(s) Laplace transformation of f (1) = 1"e" is as follows: .fre)-jerrea ? - lim fire teror di Use integration by parts nle tree -(s-a) (s-a)" = lim A'e treold nle tero) -(s-a) (s-a)"" (s-a)" ".T. s>a Hence, the Laplace transforms of the function f (1) =t"e" is, L(re }- (s-a)" s>a