1. The problem statement, all variables and given/known data Evaluate the triple integral of function 14xz bounded between z=y^2 and z=8-2x^2-y^2 in the first octant. 3. The attempt at a solution So the first octant would mean the bottom parameter on all my integral will be zero since (x,y,z)>0. Then I set the equations equal to each other and got 4=x^2+y^2. It appears they intersect in a circle of radius two. I'm having a bit of trouble applying this knowledge to set up the limits of integration. Do I integrate with respect to Z first between 0 and x^2+y^2 and then evaluate dy and dx between zero and tw0?