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Hi sci how to i know when to use the residual theorem or the

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Hi sci how to i know when to use the residual theorem or the integral cauchy theorem ?..
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When you are to calculate a complex integral.
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>>7811831
See
>>7810206
>>
>>7811831
You're integrating over a circle. If your fucking function is discontinuous in the circle, you use the residue theorem. If it is continuous over and in the whole circle, the answer is zero. Fucking open your book for once.
>>
>>7812301
i dont get it ..a more detailed explanation pls
>>
He means that if a function is holomorphic except for singularities at isolated points, and you integrate over a rectifiable path, then the answer to the integral is 2πi•sum of residues at each pole
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>>7811831
Fix your integral signs
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