xcosr(i) Find the Cauchy principal value of the integraldr.2 + 4x + 8(ii) Use Residue theorem and series expansion methods to evaluatedz, where Cis256the ellipse 25.? + 9y? = 225 counterclockwise.

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xcosr (i) Find the Cauchy principal value of the integral dr. ² + 4x + 8

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 45E

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Question

xcosr
(i) Find the Cauchy principal value of the integral
dr.
2 + 4x + 8
(ii) Use Residue theorem and series expansion methods to evaluate
dz, where Cis
256
the ellipse 25.? + 9y? = 225 counterclockwise.

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