I have already proved that if f is Riemann integrable then there is a sequence of partitions whose upper and lower sums converge to the integral. I'm unable to produce the same result for an equispaced partition Pn. 
2026-03-25 07:46:23.1774424783
If f is Riemann integrable on [a,b] then prove that there is an equispaced partition Pn such that limU(Pn,f) = limL(Pn,f) = the value of the integral.
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