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