Let $\Gamma$ be a circumference with center $3i$ and radius $5$ oriented counter-clockwise. Calculate: $\displaystyle\oint_{\Gamma} \frac{z}{(z^2 -2z)(z^2 - 4z + 13)} dz$
At a first glance I thought it was a line integral but then I realized the function $f(z)$ has only one unknown ($z$), while it should have 2 such that I can parameterized it. Any hint is appreciated.
Thanks,
rubik
P.S. Sorry for the english: the problem is a translation from another language and I don't know whether I used the correct terms.