Using Integration to evaluate the Bernoulli Polynomials

I'm given the following information:

Bo(x) = 1

& for n greater than or equal to one:

B'n(x) = nBn-1(x)

The integral from 0 to 1 of Bn(x) = 1

I'm asked to find Bn(x) for n = 1,2,3, and 4 and express the coefficients as fractions...

I've tired everything that I can think of, I have a whole page worth of "notes" for this problem and I think that I'm way over thinking it...

Any suggestions on where I can start (I just need that first shove in the right direction...)

-Ben