10.1.47 Integral of a Complex Variable
Condition: Calculate the integral with a comprehensive variable: \ [\ int_ {l} \ left (z^{2}+z \ cdot \ bar {z} \ right) d z, \ quad l- \ Text {border of the region} \] \ [[ D = \ Left \ {z: | z-1 | <1.0 <\ arg z <\ frac {\ pi} {2} \ Right \} \]
Calculation of Integrals from Functions of a Complex Variable. Sub-Integral Functions Can beer Analytic or Singular Points. Application of the Main Residue Theorem, As Well as the Cauchy Formulas for Calculanting Integrals of Function with Poles in a Simply Connected Domain.