Word Count : 221

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To evaluate the integral \[ \oint_C \frac{dz}{z^2+1} \] where \( C \) is the circle \( |z| = 4 \), we can use the residue theorem from complex analysis. The function to integrate is: \[ f(z) _____ ___ ____ ________ _______ _____ ___ _____.
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