Use Stokes Theorem to evaluate S curl F dS. F(x, y, z) = x 2

Use Stokes’ Theorem to evaluate ʃʃ_S curl F • dS.

F(x, y, z) = x² sin z i + y² j + xy k, S is the part of the paraboloid z = 1 - x² - y² that lies above the xy-lane, oriented upward