10.1.40 Integral of a Complex Variable
Condition: using the integral formula of the Koshi and its generalizations, calculate the integral: \ [\ oint_ {| z-1 | = 2} \ frac {(z+\ pi) d z} {z^{2} \ left (z {2} +4 \ right)} \ 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.