This should be a pretty simple question. I've just started learning about principal value integrals. But, I'm a little confused about poles.
There is an identity for the cauchy principal value integral. There are two actually, one is for a single pole in the interval of integration, and the other is for a double pole in the interval of integration. I can't seem to find any useful information on poles by searching google. Can someone please explain what a pole in the interval of integration is, and explain how to determine if an equation has a single or double pole?
Thank you to anyone that replies.