Bounded Function Which is Not Riemann Integrable

This trouble is extracted from Problem 2.4.31 (web page 84) from Problems in Mathematical Analysis: Integration by W. J. Kaczor, Wiesława J. Kaczor and also Maria T. Nowak.


Offer an instance of a bounded function $f:[0,1] \to \mathbb{R}$ which is not Riemann Integrable, yet is a by-product of some function $g$ on $[0,1]$.

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2019-05-09 11:23:58
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Answers: 1

I offered a response to this inquiry on Math Overflow some months ago :

https://mathoverflow.net/questions/6711/integrability-of-derivatives/6716#6716

See, specifically, the adhering to paper :

http://math.uga.edu/~pete/Goffman77.pdf

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2019-05-10 06:24:08
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