# Multiple integral

The multiple integral is a definite integral of a function of more than one real variable, for example,
or
.

Integrals of a function of two variables over a region in
are called double integrals, and integrals of a function of three variables over a region of
are called triple integrals.

Here we only talk about `double integrals`.

1. Thinking an object which upper body is an wave, and its lower body is an squre. The x axis face you. The wave function is
2. Now put your knife down right through its center, what you will get is a slice of bread
3. We should calculates the area of that slice:
   , undefined(so many) lines come together `with y direction` to a slice
4. Then undefined(so many) slices come together `with x direction` to an complete object:

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