# Darboux integral

1. Jul 13, 2006

### ergonomics

if a function f is not integrable does it imply, that there exists such an epsilon that whichever partition P i choose it will follow this condition
Uf,p-Lf,p>=Epsilon?

Last edited: Jul 13, 2006
2. Jul 13, 2006

### ircdan

Looks ok yea, f:[a,b]->R not integrable implies there exists an e > 0 such that for all partitions P of [a,b], U - L >= e.

Last edited: Jul 13, 2006
3. Jul 13, 2006

Thank you.