I calculated a joint density function of two non uniformly distributed variables.
$$ f_{x,y}(x,y) = \frac{1}{2\pi}\cdot{1 \over \sqrt(x^2+y^2)}$$
I want to "integrate out" one of the variables to get the single variable's PDF. The variables should be located in a circle around the center with a radius of one. I don't get how to define the integral boundaries (if the joint pdf is correct).
The picture below is a histogram that I created numerically.
I really appreciate any help you can provide.