While I was trying to find out the mass moment of inertia of an elliptical ring I got struck and could not think about as to what I must do. I tried integrating but the radius keeps changing from semi major to semi minor. I have also tried using the perpendicular axis theorem but again the maths is starting to go over my head. and despite all of this I haven't come any closer to anything that remotely looks like a solution to my problem.
I am also unable to guess as for what kind of piece of the ellipse shaped ring I should take so as to integrate them to find out the moment of inertia