1. The problem statement, all variables and given/known data Evaluate ∫∫∫[W] xz dV, where W is the domain bounded by the elliptic cylinder (x^2)/4 + (y^2)/9 = 1 and the sphere x^2 + y^2 + z^2 = 16 in the first octant x> or = 0, y> or = 0, z> or = 0. 2. Relevant equations First, I tried to find the bounds for z: z = 0 (because z is greater than or equal to zero) to z = sqrt(16 - x^2 - y^2). Then setting z = 0, I tried to find the x bounds: x = sqrt(4 - (4y^2)/9) to x = sqrt(16 - y^2). Finally with both x and z set to 0, I tried to find the y bounds: y = 3 to y = 4. 3. The attempt at a solution ∫3 to 4 ∫sqrt(4 - (4y^2)/9) to sqrt(16 - y^2) ∫0 to sqrt(16 - x^2 - y^2) xz dzdxdy When I tried to solve this, it didn't work. I'm wondering if I have the bounds wrong.