What is a double integral?

1 Answer
Mar 4, 2015

The easiest way to think of a double integral is as the volume under a surface in 3-dimensional space. This is analogous to thinking of a normal integral as being the area under a curve.

If $z = f \left(x , y\right)$
then
${\int}_{y} {\int}_{x} \left(z\right)$ $\mathrm{dx} \mathrm{dy}$ would be the volume under those points, $z$, for the domains specified by $y$ and $x$.