Integrating over area of intersection

*To*: mathgroup at smc.vnet.net*Subject*: [mg44123] Integrating over area of intersection*From*: "Toni Danza" <nospam at yoohoo.com>*Date*: Thu, 23 Oct 2003 07:15:38 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

OK, I have three functions that are defined within their respective circles. I would like to integrate over the intersection of the three circles. Here's what I have done: define region of integration: region = x^2 + y^2 < fJ^2 && (x - f1)^2 + y^2 < fH^2 && (x - f2)^2 + y^2 < fH^2 Then I try to solve for the intersection using Reduce[region,{x,y}] and the result is something like (only works with numerical parameters...) -0.4<x<0.3 && sqrt(....)< y <sqrt(...) || -0.3<x<-0.2 && sqrt(....)< y <sqrt(...) How do I use this result to do integration over the region?