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hi /sci/ i have to study for a test tommorow...
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hi /sci/ i have to study for a test tommorow about residue theorem. Id like to have some exemples .
Can you pls solve me these exercises .
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>>7810206
The first one is trivial. The next two are also pretty easy.

You suck op.
>>
If you want to study, imo, do lots of problems. The more you do, the more you get a feel of what to look for on each one.

Some general ones:
1. Draw the region described.
2. Find the number of poles, if any, and the order of each.
3. Compare them to the given region. Which ones lie in it? Which ones don't?
4. Then just apply Cauchy Residue Theorem.

Anything else, and it gets problem-specific.

I hope this helps a little.
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>>7810206

Those are pretty easy OP, just use the cauchy integral formula

https://en.wikipedia.org/wiki/Cauchy%27s_integral_formula