Let f be bounded on a nondegenerate interval a, b) Prove that f is integrable on a, b if and only if given 0 there is a partition P of a, b such that P P, implies IU (f P) L(f, P)

Question: Let f be bounded on a nondegenerate interval [a, b). Prove that f is integrable on [a, b] if and only if given >

Let f be bounded on a nondegenerate interval [a, b). Prove that f is integrable on [a, b] if and only if given Îµ > 0 there is a partition PÎµ of [a, b] such that

P P, implies IU (f. P)-L(f, P)| < .

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