Ok so this is the problem:

Integral from 1 to e of (ln(x))/x) dx (sorry don't know how to put the intergral symbol in)

I set u= lnx and du= 1/x and changed the limits to 0 to 1

When i solve though, I get 1, and my book says the answer is 1/2. I've tried this a bunch of times but can't get their answer. Any explanation?