
TL;DR
This paper presents a novel example of a function that is Lebesgue integrable but not Riemann integrable, highlighting differences between these integration theories.
Contribution
It introduces a new function demonstrating the distinction between Lebesgue and Riemann integrability, providing insights into measure-theoretic integration.
Findings
The function is Lebesgue integrable.
The function is not Riemann integrable.
Illustrates key differences between integration methods.
Abstract
We explore the properties of an interesting new example of a function which is Lebesgue integrable but not Riemann integrable.
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