MathProblemsBank

10.1.42 Integral of a complex variable

condition: Calculate the integral over \( (2,3) \) \( \int_{(0,1)}(z+\operatorname{Re} z) d z \) along a straight line connecting the points.

Calculation of integrals from functions of a complex variable. Sub-integral functions can be either analytic or with singular points. Application of the main residue theorem, as well as the Cauchy formulas for calculating integrals of functions with poles in a simply connected domain.

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