How to calculate these exercises from the theory of complex variable functions.

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Yhhpll

Mathematics

Avila University

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(The problems are seen in the picture)

So in the 1st problem I have to calculate the given integral as a line integral.

In the 2nd problem: I have to calculate the given integral using the Cauchy integral formula.

And in the 3rd problem: calculate the given integral with the help of residue theorem.


Unfortunately, I only understood the simple questions in my homework, however, these were a bit too challenging.

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1. (22 +1)ādz, L: 121=1. L 2. COSAZ dk L: 12–2 = 2. -4 z*-1 L dz 3. L: x2 + y2 – 2x – 2y = 0. (2-1) -1)(22 +1)
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