First, I must disclose that this is a homework problem.

Here is the integral exactly as stated:

Evaluate

$\displaystyle

\int\limits_0^1 {\ln x} dx

$

So this is what I did:

$\displaystyle

\int\limits_0^1 {\ln x} dx = x\ln x - x|_0^1

$

However, ln 0 is undefined. So how do I proceed? Or, is it possible to proceed?

Any help is greatly appreciated.