Is there a simple rule for double and multiple integration?

[JizzaDaMan]

Hi, I have a very limited knowledge of calculus, and even less of integration. However I know that the general rule for integration is
x^{n} integrates as \frac{x^{n+1}}{n+1}

Is there a similar rule for double integration and is there a rule that can be extended to multiple integrals beyond double?

 

[SteamKing]

The rules of integration are developed assuming a single integral. Double integrals and other iterated integrals can be evaluated by means of a series of single integrals.

In other words, there are no special rules of integration for double integrals,etc.

 

[Vargo]

First, you are confusing antiderivatives with integrals. See http://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus

Second, as Steamking says, if you want to analytically evaluate a double integral, you need to use iterated integrals (usually). See
http://en.wikipedia.org/wiki/Iterated_integral