
10.1.50 Integral of a Complex Variable
Condition: Calculate the integral with a complex variable. \ [\ oint_ {z+3 I | = 2} \ left (\ frac {4} {(z-1+3 i)^{2} (z-3+3 i)} \ right) d z \]
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.