I was just going over Riemann integrability and how to prove it, and was just wondering is it possible to have a function f that is not Riemann integrable but |f| is Riemann integrable? Say on an interval [0,1] for example. (as that is what most examples I have done are on so easiest for me to compare)(adsbygoogle = window.adsbygoogle || []).push({});

How would this work? Or does it not?

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# A function f that is not Riemann integrable but |f| is Riemann integrable?

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