1. The problem statement, all variables and given/known data Let C be a differentiable curve contained in the portion 0 ≤ x ≤ 2 of the first quadrant, starting somewhere on the positive x-axis and ending somewhere on the line x = 2. Show that the flux of the vector field F = (8xy − x^4y)i + (2x^3y^2 − 4y^2 − 3x^2 )j across C is always equal to 8. Let P be a point on the x-axis, Q a point on the line x=2. 2. Relevant equations Div F = Mx + Ny = 0 3. The attempt at a solution Using Green's Theorem, the double integral vanishes (Curl F = 0) leaving us with -[intC = - int p to 2 (3x^2)dx - int 0 to Q (0dy)] = 8 - p^3 ..... how can we eliminate the p^3 term?