Cauchy’s integral theorem and residue theorem, what’s the difference

  • #1
GGGGc
TL;DR Summary
when to use residue theorem and when to use Cauchy’s integral theorem?
May I ask when we should use Cauchy’s integral theorem and when to use residue theorem? It seems for integral 1/z, we can use both of them. What are the conditions for each of them?
Thanks in advance!
 
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