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Integration using Spherical Bessel Function

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Given a spherical Bessel function J1(w) = (1/w^2)*(Sin(w)-w*Cos(w))

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(pi)*x/2, -1<x<1
integral of J1(w)*Sin(wx)dw from 0 to infinity =
0, |x|>1

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Integration using Spherical Bessel Function is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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Here is the solution in two formats as usual. I also used ...

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