10.1.55 Integral of a complex variable
condition: Calculate the integral of a function of a complex variable along a given curve: \( \oint_{C} \sin 2 z d z, \quad \) where \( C- \) broken line \( A B C \) : \[ z_{A}=1, z_{B}=2+i, z_{C}=3-i \]
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.