I need a little help with the following question:
find the region , bounded by the ellipse in the first quadrant.
I drew out the bounds which gave me a function where and .
now if I let and I would get:
and
so my value associated to the Jacobian transformation would be:
the bounds associated with both and are and
so putting everything together yields:
now this is the part that I get stuck on since doesn't integrate nicely, and checking out my work on maple gives me a bizarre result.