V9. Surface Integrals - MIT Mathematics
of curved rectangle like the one shown, bounded by two horizontal circles and two vertical lines on the surface. Its area dS is the product of its height and width: (7) dS = dz ·adθ . Having obtained n and dS, the rest of the work is routine. We express the integrand of our surface integral (3) in terms of z and θ: F·ndS = zx+xy a
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