This paper reviews the Riemanns’ approach of
multiple integrals by considering its basic definitions, results and the
various successive integral evaluations, in doing this, the continuity condition
of R was considered with respect to X as the necessary condition guaranteeing
the existence of the integrals using the analytical Riemanns’ approach. This
involves the use of partitions, to generate continued results to the nth
iterated integral after the nth iteration.
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