# Volterra's function

Volterra in 1881, proved that there exists a function, $F(x)$whose derivative exists and is bounded for all $x\in [a,b]$, however, the derivative $F'(x)$ is not Riemann integrable. Actually the derivative is discontinuous on a dense set with positive outer content. It is a very complex function and it is not easy to make a representation. Here there is an approach.

Resource Type
Activity
Tags
analysis  calculus  derivative  function  integral  integral-calculus  volterra
Target Group (Age)
13 – 19+
Language
English (Australia)

GeoGebra version
4.2
Views
2116

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