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

[tex]\int^{A}_{-A}[/tex][tex]\int^{Bx}_{-Bx}c\delta(xcos\varphi+ysin\varphi-d)dydx[/tex]

where A, B, c, d are constant

2. Relevant equations

3. The attempt at a solution

I have tried a few different ways to integrate this, but am completely confused with what happens to this kind of delta function when you integrate it. I know integrating a delta function usually gives you 1 but I don't think this can work in this case. The answer has A,B,c and d in it, so the limits must be used somewhere. This is one step in a much longer problem, but it is frustrating to get close to the end and get stuck because I can't find anything anywhere about delta functions of 2 variables. Some help would really be appreciated.

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# 2 variable delta function integration

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