7-12 FOURIER COSINE INTEGRAL REPRESENTATIONS Represent f(x) as an integral (10). ! if 01
7-12 FOURIER COSINE INTEGRAL REPRESENTATIONS Represent f(x) as an integral (10). ! if 01
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![7-12
FOURIER COSINE INTEGRAL
REPRESENTATIONS
Represent f(x) as an integral (10).
! if 0<x<1
lo if
7. f(x)
x>1
if 0<x<1
8. f(x) = Lo
if
x>1
9. f(x) = 1/(1 + x²) [x>0. Hint. See (13).]
(a² - x2 if 0<x< a
10. f(x) = Lo
if
x> a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f580449-a4bb-450e-aef1-02d0dc9423c7%2F42262197-6694-42e8-9111-7e2825ceb363%2Fj9wd6qm_processed.png&w=3840&q=75)
Transcribed Image Text:7-12
FOURIER COSINE INTEGRAL
REPRESENTATIONS
Represent f(x) as an integral (10).
! if 0<x<1
lo if
7. f(x)
x>1
if 0<x<1
8. f(x) = Lo
if
x>1
9. f(x) = 1/(1 + x²) [x>0. Hint. See (13).]
(a² - x2 if 0<x< a
10. f(x) = Lo
if
x> a
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