8.) Consider the contour C in the complex plane consisting of the portion from z = 1 to z = 2+ i. of the unit circle from z = -i to z = 1 followed by the line segment iR 2+i -2 R 1 Compute the following contour integrals directly by the definition. Then verify your answer by finding an appropriate anti-derivative and eval- uating at the endpoints of the countour. a.) Se b.) C - C2 2 dz dz (Your final answer should involve Arctan(1/2) which is equivalent to the usual real-valued version of arctangent.)

8.) Consider the contour C in the complex plane consisting of the portion from z = 1 to z = 2+ i. of the unit circle from z = -i to z = 1 followed by the line segment iR 2+i -2 R 1 Compute the following contour integrals directly by the definition. Then verify your answer by finding an appropriate anti-derivative and eval- uating at the endpoints of the countour. a.) Se b.) C - C2 2 dz dz (Your final answer should involve Arctan(1/2) which is equivalent to the usual real-valued version of arctangent.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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