Evaluate integral using contour integral

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I have some troubles in solving integral $\int_{0}^{+\infty}\frac{dz}{z^2+2z+b}$. The tip is to use integral $\int_{C}\frac{\ln{z} dz}{z^2+2z+b}$. Can't understand, why we have $\ln{z}$ in nominator. Can someone explain this move? Thanks in advance.