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Hoplite
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Homework Statement
I'm looking to determine the Fourier sine transfom of 1.
Homework Equations
One this site http://mechse.illinois.edu/research/dstn/teaching_files2/fouriertransforms.pdf (page 2) it gives the sine transform as
[tex]\frac{2}{\pi \omega}[/tex]
The Attempt at a Solution
However, since the Fourier sine fransform of 1 is defined via,
[tex]\frac{2}{\pi} \int_0^\infty \sin (\omega x) dx ,[/tex]
I figure that its value should be,
[tex] \frac{2}{\pi \omega} -\lim_{L\rightarrow \infty } \frac{2}{\pi \omega} \cos (r L) .[/tex]
It seems like they've just thrown the cosine term away, but is this legal? If so why?
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