Let , and let D be the unit disk in the uv plane. Find the area of
I've parametrized u and v but i dont see how to put the angles in since it's asking for the area of the sphere.
You said "I've parametrized u and v" so I assume you have , . Put those in for u and v and integrate with r going from 0 to 1 and from 0 to in order to cover the unit circle.
(No, it's not "asking for the area of the sphere". It is asking for the area of a region on the given plane.)