1. The problem statement, all variables and given/known data It asks to find the volume of the solid given these planes: z = x y = x x + y = 2 z = 0 It also asks to find the volume using 2 iterated integrals with different orders of x and y integration. 2. Relevant equations 3. The attempt at a solution I found the volume of the solid which is 1/3 by setting up the volume as ∫(x=1 --> x=0) ∫(y=2-x -->y=0) [x]dydx which then gave me 1/3. However, when I tried to do it by integrating with respect to x first, I get a different answer with variables of y. ∫(y=2-x -->y=0)∫(x=1 --> x=0) [x]dxdy first integration wrt 'x': (x^2)/2 from (x=1 --> x=0) = 1/2 This would leave ∫(y=2-x -->y=0) [1/2]dy = y/2 (y=2-x -->y=0) => This gives simply variables. What am I doing wrong?