need 8 Evaluate "S 88 I-("S - In (use poles of Z Z = residue formula) Biz ²² +16=0 Res (22 +16 312 2 = 4 1- we eget; 4ie-12 8i зіх xe x² +16 x sin 3x x² +16 Z=4i✓ only above x-axis P (42) V'(4i) ze 2² +16 = ± 41 p(z)= P(4i) q (2) = 2² +16 V'(4i) = 8i £ Je = dx зіг ze 204 ie ³i (41) = 4ie-12 : Im (23Li x kes / _12) Im (2.50 i ㅗ I'm (tie -12 dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 102E
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need
8
Evaluate "S
88
I-("S
- In
(use
poles of
Z
xe
X² +16
residue formula)
Biz
²² + 16 =0
Z
Res (22 +16
312
2 =
=
we
eget; 4ie-12
8i
1-
зіх
ze
2² +16
Z=4i✓ only above x-axis
P (42)
V'(4i)
= ± 41
x sin 3x
x² +16
p(z)=
P(4i)
q (2) = 2² +16
V'(4₁) = 8i
=
=
зіг
ze
204 ie ³i (41) = 4ie-12
dx
£
-12
= I'm (2Jti x kes / _12)
Im (2.50 i
ㅗ
I'm (Jie
Je
dx
Transcribed Image Text:need 8 Evaluate "S 88 I-("S - In (use poles of Z xe X² +16 residue formula) Biz ²² + 16 =0 Z Res (22 +16 312 2 = = we eget; 4ie-12 8i 1- зіх ze 2² +16 Z=4i✓ only above x-axis P (42) V'(4i) = ± 41 x sin 3x x² +16 p(z)= P(4i) q (2) = 2² +16 V'(4₁) = 8i = = зіг ze 204 ie ³i (41) = 4ie-12 dx £ -12 = I'm (2Jti x kes / _12) Im (2.50 i ㅗ I'm (Jie Je dx
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