1. The problem statement, all variables and given/known data Trying to evaluate the following line integral: integral F ds where F = (6(x^2)(y^2), 4(x^3)(y) + 5y^4) and the path is the boundary curve of the first quadrant below y = 1-x^2 in a clockwise direction. 2. Relevant equations 3. The attempt at a solution So since the curve is piecewise smooth closed simple and closed curve I can use greens theorem. Simply put I get an answer as 0 since dF1/dy = dF2/dx. Is that right?