---
tag: 0KABP2HWMQ
kind: concept
name: Upper and lower Darboux integrals
msc: [26A42]
sources:
  - url: https://en.wikipedia.org/wiki/Darboux_integral
    locator: Darboux integrals
---

## Summary

The upper Darboux integral of a bounded function is the infimum of its upper Darboux sums. The lower one is the supremum of its lower Darboux sums. A function is integrable when the two agree. The node [[upper and lower Darboux integrals|09FQT057T7]] gives the precise definition.