# Integral with complications

1. Dec 19, 2008

### rman144

I've looked everywhere for a method or approach to break down this integral, but so far, nothing. If anyone has any ideas or answers, I would be incredibly thankful:

∫ {[ln(v)]^(s-1) - [ln(v)]^(-s)}/(v-1) dv, with limits from v=1 to v=e, and 0<Re(s)<1

I've tried breaking it down to the real and imaginary parts, but even then I was back to the problem of trying to integrate with cos(u)+isin(u) issues.

2. Dec 20, 2008