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    Integration of the product of sine and the first Bessel function

    Homework Statement I'm supposed to prove that: \int_0^∞sin(ka)J0(kp)dk = (a2 - p2)1/2 if p < a and = 0 if p > a J0 being the first Bessel function. Homework Equations The Attempt at a Solution I've tried to inverse the order of integration and then make the integral form...
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