I have a contour in the complex plane it is not simply connected, because it looks like two figure eights that overlap and intersect eachother. Now how do i evaluate an integral for such a contour?
The question asks to evalute the contour shown for ∫dz/z-1.
But the contour is not simply connected and we are not given a function for the contour only a picture. In addition the discontinuity at z=1 is inside the contour. So how can i evaluate it?
Is this a trick question or something?
I thought we could only evaluate integrals when the contour is simply connected and we use a contour that does not contain the discontinuity?