---
tag: 0K0A06X2MQ
kind: concept
name: Upper and lower Darboux sums
msc: [26A42]
sources:
  - url: https://en.wikipedia.org/wiki/Darboux_integral
    locator: Darboux sums
---

## Summary

The upper and lower Darboux sums of a bounded function for a partition use the supremum and the infimum of the function on each subinterval. They bound the area under the graph from above and from below. The node [[upper and lower Darboux sums|0QRQVH0CRW]] gives the precise definition.