10.1.39 Integral of a Complex Variable
Condition: Calculate the integral according to the complex variable function by this curve: \ [\ bein {array} {l} \ int_ {a b c} z \ vec {z} d z; \ quad a b: \ {| z | = 1, \ Operatorname {re} z \ geq 0, \ Operatorname {lm} z \ geq 0 \}. \\ b C- \ Text {segment,} z_ {b} = 1, z_ {c} = 0. \ 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.