Let C denote a circle that does not pass through the points 0, 1, and -1, traversed in the anti-clockwise direction. Find the possible values (depending of course on the position of the circle relative to the 3 points) of the integral dz z (z² – 1)* Sc z C

Let C denote a circle that does not pass through the points 0, 1, and -1, traversed in the anti-clockwise direction. Find the possible values (depending of course on the position of the circle relative to the 3 points) of the integral dz z (z² – 1)* Sc z C

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 35E: Determine the area of ABC if A=2,1,B=5,3,andC is the reflection of the B across the x-axis.

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Question

Do not use the Residue Theorem. Thank you.

Let C denote a circle that does not pass through the points 0, 1, and
-1, traversed in the anti-clockwise direction. Find the possible values (depending of course on the
position of the circle relative to the 3 points) of the integral
dz
z (z² – 1)*
Sc z C

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