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, \( z = i \) and \( z = -i \), _______ ___ ___ ____ ___.
__________ _____ __________ __________ ____ ______.
________ _______ ______ _________ ______ _____ _____.
__________ __________ ______ _________ ___ ____ ___ _______ __________.
_____ __________ ________ ___ _______ ________ ________.
___ ______ _____ _____ _______ ___ ______ ____ _____ _________ ____.
____ __________ ______ _________ ______ _________ ______ _________ ___ _________ ___.
____ ________ ______ _______ _________ ______.
_______ ____ _____ _____ ____ _______ _____ ____ __________ ____.
______ ___ _______ _____ _______.
__________ ____ ____ _______ ___ __________ ___ ____ _________ ____.
__________ ________ _______ ________ ___ _____ _____ _________ ____ _______ ___.
__________ __________ __________ ______ __________.
_____ ___ _______ ___ _________ _____ ____ _____ _________ _______ _________ _______.
________ ________ _______ _____ __________ ________ ________ ______.
________ ______ ______ ______ __________ _______ ____ ______ ____ _____ ________ __________.
______ _____ __________ __________ _______ ____ ____ ______.
_________ _____ ________ ___ ___ ________ ______ ________.
________ ___ ____ ____ ______ _________ _________ _____ _________ __________ _______.
__________ ____ __________ ____ ___ ______ _______.
___ ____ ________ ______ _____ ______ __________ _____ ____ ______.
__________ ________ _______ ________ __________ ______ _________ ___ __________.
__________ ________ _____ ______ _________ ___ __________ __________ _____ ____ ________ _______.
___ ______ _________ __________ ____ ______ _________ ____ ____ __________ ___ ________.
_______ ______ _____ _____ _____ ________ ___ _____ ____ _____ _________ ___.
_________ ________ __________ ___ _________ ____ ________ __________ ________ ___ _________ __________.
Get Full Answer on WhatsApp