10.1.44 Integral of a Complex Variable
Condition: Calculate the integral. \ [\ OINT_ {Z | = 3} \ LEFT (z \ cos \ frac {1} {z}+\ frac {\ sin \ frac {\ pi z} {2}} {(z-2) {2}} \ RIGHT) D Z z z z z \ Text {. } \]
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.