Using Either Stokes' Theorem or the Divergence Theorem (Whichever Is $\dot{\mathrm{Q}}((2 x+\cos y z) \vec{i}+(5 y+\sin 2 z) \vec{j}+(3 z+x) \vec{k}) \times d \vec{A}$

Essay

Using either Stokes' theorem or the Divergence theorem (whichever is appropriate), evaluate $\dot{\mathrm{Q}}((2 x+\cos y z) \vec{i}+(5 y+\sin 2 z) \vec{j}+(3 z+x) \vec{k}) \times d \vec{A}$ where S is the sphere of radius 2 oriented outward and centered at the point $\left( 2 , e ^ { - 25 } , \pi ^ { 2 } \right)$