–2πίαξ e (1+x²)² 50% dx = (1+2π||)e-27§|¸

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I'm trying to use contour integration to solve this problem.  I used the residue theorem and was able to solve most of it, but I don't know how to handle the absolute value portion.  

1000
-2πix
(1+x²)²
e
ㅠ
dx = (1+
(1 + 2π|§|)e¯2π|§|¸
Transcribed Image Text:1000 -2πix (1+x²)² e ㅠ dx = (1+ (1 + 2π|§|)e¯2π|§|¸
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