10.1.52 Integral of a Complex Variable
Condition: Calculate the integral on the closed contour using the main theorem about the deductions: \ [\ oint_ {l} \ frac {e^{z} d z} {z (z+1) {2}} \ Text {,} \ (l- \) a closed contour that covers the point \ (z = -1 \), but not covering the point \ (z = 0 \).
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.