Line integral across a vector field

1. Oct 31, 2012

clandarkfire

I've attached the problem as a picture.

Generally, this would be a simple problem if I were to apply Green's theorem. But I can't use Green because D would not be a simply connected closed region; the vector field isn't defined at the origin.
Could someone please give me an idea of where to start?

2. Oct 31, 2012

Dustinsfl

Break it up into two integrals and evaluate each path separately and then add them together.