Math Problem Solver

Use Stokes' theorem, evaluate the surface integral, \( \iint(\nabla \times \bar{F}) \cdot \bar{n} \, dS \) where \( \bar{F}=x y \bar{i}-z^{2} \bar{j}+y \bar{k} \). Let the triangular surface be formed by \( (1,0,0),(0,2,0) \) and \( (0,0,1) \); consider just one side of the triangular surface.