10.1.55 Integral of a Complex Variable
Condition: Calculate the integral from the complex variable by a given curve: \ (\ oint_ {c} \ sin 2 z d z, \ quad \) where \ (c- \) broken \ (a b c \): \ [z_ {a} = 1, z_ {b} = 2+i, i, z_ {c} = 3-i \]
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.