Argument principle — integrating $P'/P$ around all the roots

If all roots of the polynomial $1+z+z^2+\dots+z^{10}$ are in the disk $B(0,R)$, then:

$$\oint_{|z|=R}\frac{1+2z+3z^2+\dots+10z^9}{1+z+z^2+\dots+z^{10}}\,dz = ?$$