I'm having trouble on computing $\int_\gamma \frac{dz}{(z^2-4)(z-2)}$, where $\gamma$ is the positively oriented circle centered at 2 of radius 1.
Any help on this will be very appreciated.
2026-04-01 17:45:11.1775065511
Laurent Series / Residue Theorem
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Hint: $z=2$ is a pole of order $2$.