(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm looking to determine the Fourier sine transfom of 1.

2. Relevant equations

One this site http://mechse.illinois.edu/research/dstn/teaching_files2/fouriertransforms.pdf [Broken] (page 2) it gives the sine transform as

[tex]\frac{2}{\pi \omega}[/tex]

3. 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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# Homework Help: Fourier sine transform of 1

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