Word Count : 295

---

To evaluate the contour integral \[ \int_{C} \frac{e^{iz}}{z^2+1} \, dz \] where \( C \) is the contour \(|z| < 4\), we use the residue theorem. ### Step 1: Identify Singularities The denominator is \[ z^2 + 1 = 0 \Rightarrow z = \pm i. \] These points, \( _____ _______ ____ ___ _______ ___ _____ ________ _________ ________ _________ ________.
_______ ____ _________ ______ _______.
__________ ________ ________ ____ ____ _____ __________ ____ _______ ________ _____.
_______ ____ ________ ____ ________ ________.
_____ ________ _______ ___ _________ _________ _________ ____ _____ _______ __________ ____.
_________ _____ ____ ______ _______ _________ ____ _____ _______.
____ ___ ______ ________ _____ ___ ________ __________ ____ _______ ____ _________.
______ _________ ______ ____ ____ ___ __________.
_______ ______ _____ _________ __________.
________ ______ _____ ________ _______ ________ __________ ______.
_____ _________ _____ __________ _________ ______.
__________ _______ _______ _______ __________ _________ _________ __________ ____ ____.
___ _______ ______ ______ _________.
________ ______ ______ _________ __________ ______ __________.
____ ____ ________ __________ ___.
________ _____ _____ ________ ____ __________ ______ _________ ___ _________.
_____ _________ __________ ____ ____.
_______ ________ _____ _____ __________ ________ _____ _______ ____ _______ ___ ___.
________ ______ _________ _______ _____ _________ _____ __________ ________ __________ _____ ______.
__________ ___ ________ _______ ______ ________.
___ ______ _______ ________ __________ _____ ___.
_____ _______ _______ ___ _______ __________.
_____ ___ ____ ________ __________ __________ __________.
_______ _________ ____ ______ _________ ____ ______ ____ _________ __________ ____.
____ ____ ________ ______ _________ _____ ______ ______ _________.
_______ _______ _______ ___ ______ ___ ________ _________ __________ __________ ____ _________.
____ ________ ________ ________ ______ _______ ______ ______ ________ _________ ______ __________.
_____ _________ ______ _________ _________ ________.
______ ____ ___ ________ _____ ______ _______ _____.
__________ __________ ______.
Get Full Answer on WhatsApp