4. (a) Let El C E be Jordan regions in Rn. If f : E --+ R...

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4.

(a) Let El C E be Jordan regions in Rn. If f : E --+ R is integrable on E, prove that f is integrable on E1 .

(b) If f is uniformly continuous on a Jordan region E, prove that f is integrable on E.

(c) If f : R n --+ R is continuous on R n, prove that f is integrable on any Jordan region in R n .

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