@article {MATHEDUC.06286519,
author = {Hauchecorne, Bertrand},
title = {Integrable functions from Cauchy to Riemann and Darboux. (Fonctions int\'egrables de Cauchy \`a Riemann et Darboux.)},
year = {2013},
journal = {Quadrature},
volume = {90},
issn = {1142-2785},
pages = {15-17},
publisher = {Quadrature, Revigny-sur-Ornain},
abstract = {Summary: The article gives a survey of integrability. The author considers the different types of integrals. First, he explains Cauchy's work at the polytechnic school in 1823. Then he exposes Riemann's attempt for integrating non-continuous functions, without anti-derivative. The author details Riemann's example, consisting in the function $x\to f(x)=\sum\frac{(nx)}{n^2}$ where $(x)=x-p_x$, where $p_x$ denotes the integer closest to $x$.},
msc2010 = {A30xx (I55xx)},
identifier = {2014c.00039},
}