# Application of Complex Inversion Integral Formula.

Laplace Transform

Application of Complex Inversion Integral Formula

(Bromwich's Integral Formula)

Problem:- Find the Laplace Transform of the function F(t) = (1 - e^(-at))/a.

Prove by the method of contour integration that F(t) is itself the Laplace Transform of the function arrived at.

https://brainmass.com/math/integrals/13670

#### Solution Summary

This solution is comprised of a detailed explanation for finding the Laplace Transform of the function F(t) = (1 - e^(-at))/a by using complex inversion integral formula or, Bromwich's integral formula. It contains step-by-step explanation to apply the complex inversion integral formula for finding the Laplace Transform of the function F(t) = (1 - e^(-at))/a. Solution also contains detailed step-by-step explanation for using the method of contour integration.