- #1
helpcometk
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Homework Statement
Hi guys ,please look at the integral on the attachement.Does anyone have seen this integral before ?
Homework 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
The Attempt at a Solution
Please help ,i have studied all the physics books available and I am 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.