Let f be a bounded Riemann integrable function on [a, b] and let P be a partition of [a, b]. Then prove that (b-a) inf{ f(x) : x € [a,b]} ≤ L(S.P) ≤ [" f(t) dt s U(f,P) ≤ (b-a) sup{ f(x) : x € [a,b]}.

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