13. (a) Use Example 1 to show that 6.00 sinw cos w لا dw = kit π 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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13. (a) Use Example 1 to show that
6.
Where example 1 is:
1.
f(x) = { 0
where a > 0.
1 if -a < x < a,
otherwise,
F(x) = { !
if -a<x<a
otherwise
sin w cos w
A(w) = (a f(x) coswx dx
a
Jº
Icoswxdx =
F(x) = ((SIANG)
Sinwa
TT
W
Sinwx
dw
=
a
Coswx dw
K|4
ㅠ
f(x)
=
However, I do not understand what I need to do in question 13. Please help, thank you.
Sinwa
f(x) Deven
X
Transcribed Image Text:13. (a) Use Example 1 to show that 6. Where example 1 is: 1. f(x) = { 0 where a > 0. 1 if -a < x < a, otherwise, F(x) = { ! if -a<x<a otherwise sin w cos w A(w) = (a f(x) coswx dx a Jº Icoswxdx = F(x) = ((SIANG) Sinwa TT W Sinwx dw = a Coswx dw K|4 ㅠ f(x) = However, I do not understand what I need to do in question 13. Please help, thank you. Sinwa f(x) Deven X
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