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A double integral operator used to calculate integrals over two-dimensional regions or surfaces in multivariable calculus.

\iint image

Examples

Double integral over a rectangular region

[0,1]×[0,1]x2ydxdy\iint_{[0,1]\times[0,1]} x^2y \,dx\,dy
\iint_{[0,1]\times[0,1]} x^2y \,dx\,dy

Double integral over a general region D

D(x2+y2)dA\iint_D \left(x^2 + y^2\right) \,dA
\iint_D \left(x^2 + y^2\right) \,dA

Double integral in polar coordinates

Rrer2drdθ\iint_R r e^{-r^2} \,dr\,d\theta
\iint_R r e^{-r^2} \,dr\,d\theta
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