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    Can the Residue Theorem be applied to these contour integrals?

    Hi, first post here. I'm having some trouble with contour integration. Basically here's the question: Contour Integral of ∫ 1+z dz (z-1)(z2+9) There are three cases: l z l = 2 l z+1 l = 1 l z-\iota l = 3 Is each case a straightforward application...
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