Homework Statement
I'm trying to find the center of mass of the region (x²+y²)² =2xy in the first quadrant, but I got stuck.
The Attempt at a Solution
What I did is make the substitution x = r cos(t), y = r sin(t), which gives the equation r^{4}=2r²cos(t) sin(t), so r² = sin(2t)...