I have a question about complex analysis.
Let C be the unit circle z = ejθ described from θ = -π to θ = π where α is a real constant. I need to prove this equation:
I thought that somehow I should rearrange the integrant to apply cauchy integral theorem. Thus I need singularity offspring of it.
Then I made variable displacement like this:
Now, I have the singularity but I'am stuck. How to go on with that?