x for -100 sxs100 5. J(x)3D for |x] > 100

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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44 4G lI.
طرق رياضية هندسة الجديدة 2020.pdf
312 jo 108
468
CHAPTER 14 The Fourier Integral und Transforms
sin(x) for-4<x<0
4. f(x)= {cos(x) for 0<x<4
for |x|> 4
x2 for -100 <x<100
5.S(x)=
10
for [x]> 100
11
|x| for -Sx< 2n
6. f(x) =
for x < -r and for x> 2n
sin(x) for-3T <xS
7. S(x)=
for x< -37 and for x>A
14.2
Fourier Cosine and Sine Intega
We can define Fourier cosine and sine integra
in a manner completely analogous to Fourier
a half interval.
Suppose f(x) is defined for x20. Exten
f.(x)=
fe
This reflects the graph of f(x) for x 0 back
the entire line. Because f, is an even function
Transcribed Image Text:44 4G lI. طرق رياضية هندسة الجديدة 2020.pdf 312 jo 108 468 CHAPTER 14 The Fourier Integral und Transforms sin(x) for-4<x<0 4. f(x)= {cos(x) for 0<x<4 for |x|> 4 x2 for -100 <x<100 5.S(x)= 10 for [x]> 100 11 |x| for -Sx< 2n 6. f(x) = for x < -r and for x> 2n sin(x) for-3T <xS 7. S(x)= for x< -37 and for x>A 14.2 Fourier Cosine and Sine Intega We can define Fourier cosine and sine integra in a manner completely analogous to Fourier a half interval. Suppose f(x) is defined for x20. Exten f.(x)= fe This reflects the graph of f(x) for x 0 back the entire line. Because f, is an even function
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