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Multivariable CalculusEasySurface Integrals, Stokes & Divergence

Surface Integrals, Stokes & Divergence · Easy problem

Find the upward flux ∬SF⋅dS\iint_S \mathbf F\cdot d\mathbf S of the constant field F=(0,0,3)\mathbf F = (0, 0, 3) through the horizontal disk SS: z=1z = 1, x2+y2≤4x^2 + y^2 \le 4. Give an exact answer in terms of π\pi.