Difficult integral
- From: Anders <anders@xxxxxxxxxxxxxxxx>
- Date: Mon, 19 May 2008 21:49:52 +0200
I have encountered an integral that i cannot solve.
The integral is
int_0^{k_f} int_0^{k_f} log(|k-q|/(k+q)) kq dk dq
(see <http://www.zaim.dk/integral.jpg> )
it should give -1/2*k_f^4.
I have tried this: Split the inner integral up in integrals over [0;q] and [q;k_f], in order to get rid of the numerical sign. I used partial integration, but I just get some new integrals which I cannot solve.
Any ideas on how to progress?
Anders
.
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