I have some question about the property of the delta function: $$ \int g(x)\delta(f(x))dx=\frac{g(0)}{|f'(0)|}. $$ I know how to derive this identity, but what I am not so sure is why there is the absolute value in the denominator. Can someone explain it to me?
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1Would [math.se] be a better home for this question? – Qmechanic Oct 22 '23 at 08:09