1. The problem statement, all variables and given/known data Find integral I = ∫∫xz^2 dydz + (x^2y − z^3) dzdx + (2xy + y^2z) dxdy (Integrate over A) if A is half a sphere(radius is a). Sphere is given with equation z=(a-x^2-y^2)^1/2 and z=0. 2. Relevant equations The excercise is in 2 parts , find it with just integrating and b) applying gauss's law. 3. The attempt at a solution I just cant understand how i get it ... Every way i can think of , gives me wrong answer, I have to find scalar. If i substitute x from the sphere equation , then in integration bounds it still remains ? I know this aint much to go on but help me. Just tell me what i can substitute so i can find this ingtegral or is it even possible ? I dont need whole excercise, i can integrate myself. sorry for bad english.