I have no idea here!!!!! Plz give me a hint!!!!!
What is the area of the part of the $xy$-plane within which $x^3 y^2 - x^2 y^2 - xy^4 + xy^3 \ge 0$ and $0 \le x \le y$?
\($x^3 y^2 - x^2 y^2 - xy^4 + xy^3 \ge 0 and 0 \le x \le y$\)
This area (in the blue) is unbounded
See here : https://www.desmos.com/calculator/hvtmevyg4f