A lamina.
defined by y>=0 with edges y=0, y=3/2(1-x^2) and x=-y+2y^2, for which the density is given by p(x,y)=y.
a) define domain as union of type 1 and type 2 region.
b) Calculate mass of lamina.
Consider the mass as a bunch of horizontal strips, each with area
(x2 - x1) dy
and thus mass
(x2-x1)y dy
= y(√(1+2y/3) - (2y^2-y)) dy
Now just integrate from 0 to 1.0989