-1 < x <0 The Fourier integral of f(x) = 1, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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which one of the choices(from 1 to 7)?

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—1, —1<г <0
1, 0< x <1
0, otherwise
The Fourier integral of f(x) =
00 27
1.
(1 – cos(w)) sin(wx) dw
lw
00 27
(1 — сos(w)) сos(wz) dw
lw
2.
00
-(1 – cos(lw)) cos(wx) dw
3.
00
(1 – cos(2w)) sin(wx) dw
4.
0,
00 27
5.
(1 – cos(1w)) sin(wx) dw
(1 – cos(w)) sin(wx) dx
la
6.
00
7.
(1 – cos(2x)) sin(wx) dx
Transcribed Image Text:—1, —1<г <0 1, 0< x <1 0, otherwise The Fourier integral of f(x) = 00 27 1. (1 – cos(w)) sin(wx) dw lw 00 27 (1 — сos(w)) сos(wz) dw lw 2. 00 -(1 – cos(lw)) cos(wx) dw 3. 00 (1 – cos(2w)) sin(wx) dw 4. 0, 00 27 5. (1 – cos(1w)) sin(wx) dw (1 – cos(w)) sin(wx) dx la 6. 00 7. (1 – cos(2x)) sin(wx) dx
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