What is Multiple integral?
[[File:Volume under surface.png|thumb|Volume under a surface - this is what a multiple integral for a function with two variables typically looks like.]] In [[calculus]] and [[mathematical analysis]], an [[integral]] is a way to calculate the limiting value a function with one variable will tend towards. Graphically, this can then be shown as the [[area]] under the [[graph]] of the [[Function (mathematics)|function]]. In [[Multivariable calculus|multivariate calculus]], It is also possible to calculate integrals for functions with more than one [[variable]]. These integrals are commonly referred to as '''multiple integrals'''. An integral for a function with two variables over a two-dimensional region, called double integral, can be shown as a [[surface]] in three dimensional space. Similarly, an integral for a function with three variables over a three-dimensional region, called triple integral, can be thought of as a [[4D|hypervolume]]. A double integral can also be used to define an integral over an arbitrary surface ([[surface integral]]), just like a triple integral can be used to define an integral over an arbitrary volume ([[volume integral]]).<ref>{{Cite web|date=2020-05-11|title=List of Calculus and Analysis Symbols|url=https://mathvault.ca/hub/higher-math/math-symbols/calculus-analysis-symbols/|access-date=2020-09-18|website=Math Vault|language=en-US}}</ref><ref>{{Cite web|title=Multiple Integral {{!}} Brilliant Math & Science Wiki|url=https://brilliant.org/wiki/multiple-integral/|access-date=2020-09-18|website=brilliant.org|language=en-us}}</ref><ref>{{Cite web|title=Multiple Integrals {{!}} Boundless Calculus|url=https://courses.lumenlearning.com/boundless-calculus/chapter/multiple-integrals/|access-date=2020-09-18|website=courses.lumenlearning.com|archive-date=2020-09-29|archive-url=https://web.archive.org/web/20200929174728/https://courses.lumenlearning.com/boundless-calculus/chapter/multiple-integrals/|url-status=dead}}</ref> == Related pages == * [[Fubini's theorem]] == References == <r