Posted by Michael on .
Find the mass of the triangular region with vertices (0, 0), (2, 0), and (0, 1), with density function p( x, y ) = x^2 + y^2.
Im having trouble setting up this integral. This is what i came up with:
2 .5x+1
S S (x^2 + y^2) dydx
0 0
Not sure if that's right tho, It would prob be better to use polar coordinates so i would be integrating:
2pi ?
S S (r^2)rdrd(theta)
0 0
Im just not sure if the bounds are right.

Calc 
drwls,
I think it is easier to proceed with the dx dy integration that you wrote first. I got the same answer. I did not go as far as to evalauate it, however.