algebra precalculus - Summation of natural number set with power of $m$

Who knows about the summation of this series:

$$\sum\limits_{i=1}^{n}i^m$$ where $m$ is constant and $m\in \mathbb{N}$?

thanks

Answer

Look up Faulhaber's formula. See for example http://en.wikipedia.org/wiki/Faulhaber%27s_formula.