Question: If M is an -dimensional manifold (or manifold-with-boundary) in R n, with the usual orientation, show that fdx1 ^ . ^ dx n, as defined

If M is an -dimensional manifold (or manifold-with-boundary) in R n, with the usual orientation, show that ∫ fdx1 ^ . ^ dx n, as defined in this section, is the same as ∫ M f, as defined in Chapter 3.

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