Answered: 6. (The fractional residue theorem)… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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6. (The fractional residue theorem)
Show that
sin(ax)
x(x² +1)
dr = 5(1
(1-e"), a>0.
iaz
[Hint: Integrate
z(z²+1)
around the boundary of a half-disk indented at z = 0.]

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