(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The problem is to integrate:

[tex]\oint_{C}\frac{dz}{z^{2}-1}[/tex]

C is a C.C.W circle |z| = 2.

2. Relevant equations

3. The attempt at a solution

I used theCauchy integral formula:

[tex]\oint_{C}\frac{f(z)}{(z-z_{0})^{n+1}}dz = \frac{2 \pi i}{n!}f^{n}(z_{0})[/tex]

Which gives an answer of [tex]2 \pi i[/tex] since there is a singularity inside of the contour C...

Does this look right?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Complex Analysis - Contour Intergral

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