Complex Analysis

Please answer the following questions.Justify your answers.

(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.



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