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

Hi guys ,please look at the integral on the attachement.Does anyone have seen this integral before ?

2. Relevant equations

We have the following two properties :

∫δ'(x-x0)f(x) dx =-f'(x0)

δ(x^2-a^2)= {δ(x-a) +δ(x+a)}/2a

3. The attempt at a solution

Please help ,i have studied all the physics books available and im starting searching for the answer in books of history.Im desperate .I couldn't find this integral nowhere no matter how hard i would search.

~ONE GUESS OF MINE ~

so can one say :∫{f(x){δ'(x-a) +δ'(x+a)}/2a } dx and then split this integral in two :

∫{f(x)δ'(x-a)/2a + f(x)δ'(x+a)}/2a} dx and now we use the first property i gave above

to get:

{-f'(a)-f'(-a)}/2a =-f'(a)/a ~ this just a guess and in the last step i have assumed :

f'(a)=f'(-a) is this last property true ?

This was just a guess ,and i need a definite answer so please don't reply if you are not sure about the answer.

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# Homework Help: Complicated delta function integral

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