Let f be bounded on a nondegenerate interval [a, b). Prove that f is integrable on [a,

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