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## What is a double integral?Integrals over rectangles are
almost the same as integrals over intervals, except that now our
density $f(x,y)$ is the amount of stuff per unit
The simplest example of "stuff" is
As with functions of one variable, the limit of this sum is the definition of a (double) integral.
In the following video, we develop the same definition with a slightly different problem, namely computing the total population of the (conveniently rectangular) state of Colorado. |