1. The problem statement, all variables and given/known data Evaluate the flux where F = <(e^z^2,2y+sin(x^2z),4z+(x^2+9y^2)^(1/2)> in the boundary of the region x^2 + y^2 < z < 8-x^2-y^2 2. Relevant equations 3. The attempt at a solution So using the divergence Theorem, ∇ dot F = 6 ∫∫∫6r dzdrdθ where z is bounded between r^2 and 8-r^2 and r is bounded between 0 and 8^(1/2) and θ is bounded between 0 and 2∏ is this correct? I'm mainly worried about my limits of integration for r and z are incorrect, can anyone verify?