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

See http://mathworld.wolfram.com/DeltaFunction.html

I want to show (6) on that page. I can show it using (7), but we aren't supposed to do that. I already proved (5), and my prof says to use the fact that (5) is true to get the answer.

2. Relevant equations

3. The attempt at a solution

Here's what I tried:

δ(x^{2}- a^{2}) = δ((x-a)(x+a))

I'm not sure how to use (5), because here a is not multiplying x. I'm not sure where to go from here.

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# Dirac Delta Function Proof

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