Question: Verify Stokess Theorem by evaluating as a line integral and as a double integral. F(x, y, z) = (cos y + y cos x)i +

Verify Stokes’s Theorem by evaluating

JC F. dr

as a line integral and as a double integral.

F(x, y, z) = (cos y + y cos x)i + (sin x - x sin y)j + xyzk

S: portion of z = y2 over the square in the xy-plane with vertices (0, 0), (a, 0), (a, a), and (0, a)

N is the upward unit normal vector to the surface.

JC F. dr

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