- #1

NT123

- 28

- 0

## Homework Statement

Calculate the inverse Laplace transform of exp(-as)/s (a is a constant).## Homework Equations

## The Attempt at a Solution

I need to calculate the integral (1/2*pi*i)int(c-i(inf), c+i(inf))(exp(s(t-a))/s).I'm guessing I need to integrate around a circular contour centred at c, with a sufficiently large radius to contain zero.

The pole is at zero so I guess the residue is just exp(s(t-a))(0) = 1. I'm not sure how to show the rest of the integral ---> 0. Any help would be appreciated.