I need some help with a particular question that i can't seem to figure out no matter how much time i've spent on it this evening..
My first way of thinking led me to a dead end. I used integration by parts with and and and
This led me to the following
and this is where i'm stuck.. can't seem to figure out the integration for the second integral here.
I think my line of thinking is wrong.. is my assumption that and incorrect?
using integration by parts on that guy directly is overkill. (that is, if you know the integral of ln(x) by heart--which you should).
Let , this substitution yields
which we know is ...
see post #7 here for how to integrate ln(x) using integration by parts. note that you could also figure out the integral by contemplating the derivative of xln(x)