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## Homework Statement

Let X be uniformly distributed over the unit interval (0,1). Determine the moment generating function of X, and using this, determine all moments around the origin.

## Homework Equations

## The Attempt at a Solution

I know that the MGT is M(x) = E[e

^{xt}]

I'm just not sure how to start this problem. Could someone give me a hint, or point me in the right direction?