Why is it that when we evaluate a surface integral of:(adsbygoogle = window.adsbygoogle || []).push({});

f(x, y ,z) over dS, where

x = x(u, v)

y = y(u, v)

z = z(u, v)

dS is equal to ||r_{u}Xr_{v}|| dA

Why don't we use the jacobian here when we change coordinate systems?

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# Jacobians and Surface integrals

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