1. The problem statement, all variables and given/known data Compute the surface integral for F = [3x^2, y^22, 0] and S being a portion of the plane r(u,v)=[u,v,2u+3v], 0≤u≤2, −1≤v≤1. 3. The attempt at a solution I managed to get the correct answer, because with some luck I defined the normal in the correct direction. I am just confused on when this answer is negative or positive? Doesn't it really depend only on which of the two possible ways you defined the normal? When I search around the textbook, an "outward pointing" normal will always give you a positive answer. But I think that's referring to a closed surface. For this question this is an open surface. Also, I stumbled across the right hand screw rule idea, but you use this when you are performing the line integral.(Stoke's Theorem) I want to do it with surface integrals.