Evaluate (showing the details and using

Chapter 14, Problem 14.1.62

(choose chapter or problem)

Evaluate (showing the details and using partial fractions if necessary)

\(\oint_{C} \frac{d z}{z^{2}+1}, C\):

(a) \(|z|=\frac{1}{2}\),

(b) \(|z-i|=\frac{3}{2}\) (counterclockwise)

Text Transcription:

oint_C dz / z^2 + 1, C

|z| = 1 / 2

|z-i| = 3 / 2

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