- #1
gysush
- 26
- 0
A question about an integral encountered in a paper I am reading about Green's Functions of the acoustic wave equation ...
The integral encountered:
Im{Integrate[ exp((i*y-a)*k), dk, 0, Infinity]} = Re{1/(y+ i*a)}
where i = sqrt(-1) and a,y,k elements of R. Been a while since I've calculated residues and what not, not sure if that is even the right procedure. Any help with how to calculate the integral?
The integral encountered:
Im{Integrate[ exp((i*y-a)*k), dk, 0, Infinity]} = Re{1/(y+ i*a)}
where i = sqrt(-1) and a,y,k elements of R. Been a while since I've calculated residues and what not, not sure if that is even the right procedure. Any help with how to calculate the integral?