---
tag: 0W29TBTY12
kind: concept
name: Riemann integral
msc: [26A42]
sources:
  - url: https://en.wikipedia.org/wiki/Riemann_integral
    locator: lead section
same_as:
  wikidata: Q697181
  wikipedia: Riemann integral
---

## Summary

The Riemann integral of a function on a closed bounded interval is the limit of its Riemann sums as the partitions get finer. For a nonnegative function, it is the area under the graph. The node [[Riemann integral|0QM4TXT3DR]] gives the precise definition.