1. The problem statement, all variables and given/known data Calculate the area of the figure given by these lines. ;x=y ;x=2y ;x+3y=1 ;x+3y=2 2. Relevant equations This is the intersection. http://www.wolframalpha.com/input/?i=x=y;x=2y+;x+3y=1+;x+3y=2 http://www4a.wolframalpha.com/Calculate/MSP/MSP27191hcd6420385b0fg300000fg719cb88h13c52?MSPStoreType=image/gif&s=45&w=386.&h=166.&cdf=RangeControl [Broken] and i calculate the intesections even tough idk if it's necessary x+3y=1 (2/5 ; 1/5) x=2y x+3y=1 (1/4 ; 1/4) x=y x+3y=2 (4/5 ; 2/5) x=2y x+3y=2 (1/2 ; 1/2) x=y 3. The attempt at a solution Ii's a simple problem i believe but i'm very new to this subject and could'nt get my head around the domain i should integrate. ∫∫dxdy = What is the domain to find the area inside the intersection of these lines.