Multiple integral

In <a href="/facts/Mathematics/pxTouaz4">mathematics</a> (specifically <a href="/facts/Multivariable_calculus/PEs5SgUF">multivariable calculus</a>), a multiple integral is a <a href="/facts/Definite_integral/V7lyV997">definite integral</a> of a <a href="/facts/Function_of_several_real_variables/cyujR2q2">function of several real variables</a>, for instance, f(x, y) or f(x, y, z).
Integrals of a function of two variables over a region in 
 
 
 
 
 
 R
 
 
 2
 
 
 
 
 {\displaystyle \mathbb {R} ^{2}}
 
 (the <a href="/facts/Real_line/6eq42xX5">real-number</a> plane) are called double integrals, and integrals of a function of three variables over a region in 
 
 
 
 
 
 R
 
 
 3
 
 
 
 
 {\displaystyle \mathbb {R} ^{3}}
 
 (real-number 3D space) are called triple integrals. For repeated antidifferentiation of a single-variable function, see the <a href="/facts/Cauchy_formula_for_repeated_integration/qwhhgTCN">Cauchy formula for repeated integration</a>.

Multiple integral open-in-new

Multiple integral