---
tag: 0F2QCWVFT7
kind: concept
name: Riemann integrable function
msc: [26A42]
sources:
  - url: https://en.wikipedia.org/wiki/Riemann_integral
    locator: Integrability
---

## Summary

A function on a closed bounded interval is Riemann integrable when its Riemann sums converge to one number as the mesh tends to zero. Continuous functions and monotone functions are Riemann integrable. The node [[Riemann integrable function|0N1JQXZXHC]] gives the precise definition.