18.8. (a). Let y be the contour z = ete, - T<0< T traversed in the positive direction. Show that, for any real constant a, eaz dz = 2ni. (b). Deduce that cos(a sin 0)d0 = T. ea cos 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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18.8. (a). Let y be the contour z = e", - TOST traversed in the
%3D
positive direction. Show that, for any real constant a,
eaz
dz.
2ni.
%3D
(b). Deduce that
cos 0
cos(a sin 0)d0 = .
ea co
Transcribed Image Text:18.8. (a). Let y be the contour z = e", - TOST traversed in the %3D positive direction. Show that, for any real constant a, eaz dz. 2ni. %3D (b). Deduce that cos 0 cos(a sin 0)d0 = . ea co
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