10.1.36 Integral of a Complex Variable
Condition: Calculate the integral from the function of the integrated variable according to this curve: \ [\ begin {array} {l} \ int_ {a b} z \ operatorname {Im} z {2}, \ quad a b- {segment straight,} \ \\ \ /\ z_ {a} = 0, \ quad z_ {b} = 1+i. \ end {Array} \]
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.