10.1.49 Integral of a complex variable
Condition: Calculate the integral of a function of a complex variable over a given curve. \[ \int_{L} z \operatorname{Re} z^{2} d z, \quad L:\{|z|=1, \operatorname{lm} z \geq 0\} \]
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.