Q32] evaluate the Cauchy principal value of the given improper integral. roo 1 dx 6x + 25

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q32] evaluate the Cauchy principal value of the given improper integral.
roo
1
dx
х2 — бх + 25
x?
(x² + 1)? dx
roo
dx
-o∞ (x² + 4)³
dx
roo
(x² + 1)²(x² + 9)
1
dx
+ 1
cos 2x
dx
x2 + 1
COS X
(x² + 4)² dx
sin x
roo
dx
x² + 4x + 5
roo
xsin x
x* + 1
Transcribed Image Text:Q32] evaluate the Cauchy principal value of the given improper integral. roo 1 dx х2 — бх + 25 x? (x² + 1)? dx roo dx -o∞ (x² + 4)³ dx roo (x² + 1)²(x² + 9) 1 dx + 1 cos 2x dx x2 + 1 COS X (x² + 4)² dx sin x roo dx x² + 4x + 5 roo xsin x x* + 1
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