Explore BrainMass

Explore BrainMass

    Real Analysis: Criteria for Integrability

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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.

    © BrainMass Inc. brainmass.com December 24, 2021, 4:49 pm ad1c9bdddf

    Solution Summary

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