10.1.46 Integral of a complex variable
Condition: Calculate the integral using the residue theorem. \[ \oint_{C} \frac{\ln (z+1)}{\left(z^{2}-1\right)^{2}} d z, \quad \text { contour } C:|z-1|=1 \]
Calculation of integrals from functions of a complex variable. Sub-integral functions can be either analytic or with singular points. Application of the main residue theorem, as well as the Cauchy formulas for calculating integrals of functions with poles in a simply connected domain.