---
tag: 0WAR4F23B4
kind: concept
name: Double integral
aliases: [double-riemann-integral]
msc: [26B15]
uses: [0JPCHTXWG0]
sources:
  - url: https://en.wikipedia.org/wiki/Multiple_integral
    locator: Introduction
  - url: https://en.wikipedia.org/wiki/Multiple_integral
    locator: Double integral over a rectangle
---

## Summary

The double integral of a function of two variables over a region of the plane is a limit of Riemann sums. The partitions of the region into small rectangles become finer and finer.
For a non-negative function it is the volume of the solid between the region and the graph.