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    Real Analysis on Integration Problem

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    I need a correct and concise solution. If the answer is not 100% correct, I will ask for my money back!

    We just finished integration and are done
    with a first course in analysis, i.e. chapters 1-6 of
    Rudin. We are also using the Ross and the Morrey/Protter
    book.

    The Problem:

    f : R --> R , f ' ' ' ' continous.

    FIND ALL FUNCTIONS THAT SATISFY THE FOLLOWING:

    S (from a to b) f (t) dt = [(b - a) / 6] ( f(a) + f(b) + 4 f( (a+b) / 2) )

    for all a, b in R.

    f ' ' ' ' means four times differentiable.
    S means the integral

    © BrainMass Inc. brainmass.com February 24, 2021, 2:08 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/real-analysis-integration-problem-3605

    Solution Summary

    A Real Analysis Problem is solved. A course analysis for integration is given.

    $2.19

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