Let S be a piecewise smooth surface of the sphere x2 + y2 + z2 = 16, z> 0, bounded by a simple closed curve C. Let \(\overrightarrow V= (3x-y)\hat{i}-2yz^2\hat{j}-2y^2z\hat{k}\) be a vector field which is continuous and has continuous first order partial derivatives in a domain which contains S. Then the value of \(\int\int(\nabla\times\overrightarrow V).\hat{n}dA\), where \(\hat{n}\) the unit normal vector to S is: