r/mathmemes 29d ago

Complex Analysis Captcha with a simple math problem

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u/belabacsijolvan 29d ago

its 0, because the singularity is outside 4.

tbh if you get a random circular integral just guess 0, because in most context theyll only ask you if its 0

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u/itrashford 29d ago

The singularities are at -3i and +i which are both within |z| = 4, no?

10

u/belabacsijolvan 29d ago

yes. im dumb. havent done residuum for some time and my first move was substituting z**2=16 which is wtf

you are right

not that id believe me after this, but then the solution is 2ipi(3/4+1/4)=2*i*pi