Question

Complex Analysis

(a) Calculate the improper integral

\int_{0}^{\infty} e^{-11 x} d x

(b) How can the result of Part (a) beinterpreted in terms of areas?

(c) Let k be any constant. Find a function f(x)such that the area between the graph of f(x)and the x-axis for 0 <x < o is equal to k.