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    Integrable functions

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    Let f: [a,b] be mapped onto the Reals be a function that is integrable over [a,b] and let g: [a,b] be mapped onto the Reals be a function that agrees with f except at finitely many points. Is g integrable over [a,b]? Why or why not?

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    Solution Preview

    Solution. We just consider Riemman integral. In this case, the answer is that g may be integral or may not integral. Let's analyse as ...

    Solution Summary

    This describes a function integrable over a given interval in the real numbers, and asks if a related function is also integrable over the same interval.