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    Real Analysis: Criteria for Integrability

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    Define f(x) = x^2 for all x in [0,1]. For each natural number n, compute L(f,Pn) and U(f,Pn), where Pn is the regular partition of [0,1] into n subintervals.Then use the Integrability Criterion to show that the function f:[0,1]->R is integrable.

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    Solution Summary

    The integrability criterion is used to show a function is integrable. The subinterval functions are given.