1. The problem statement, all variables and given/known data I want to perform the following integration: double integral of [(x^2)-(y^2)+2] dxdy where the function is subjected to the bound (x^2)+(y^2) greater than or equal to 2. I'm trying to find the flux of a surface of a sphere (x^2)+(y^2)+(z^2)=9. 2. Relevant equations Nothing, just rules of integration. 3. The attempt at a solution Using Cartesian coordinates seems far too difficult. I could show you my work, but it's messy and complicated. If I use parametrisation, then I get double integral of [(r^2)cos^2(t)-(r^2)sin^2(t)+2) rdrdt what are the bounds though? t is between 0 and 2pi I'm pretty sure, but what about r? It seems difficult since x^2+y^2 is greater than or equal to 2. This means that r^2 is greater than or equal to 2. Thus, it seems sqrt(2) is a lower bound, but what would the upper bound be? Does this make any sense?