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∫

_{R3}d

^{3}x

_{1}∫

_{R3}d

^{3}x

_{2}∫

_{R3}d

^{3}x

_{3}∫

_{R3}d

^{3}x

_{4}P(|x

_{1}|)P(|x

_{3}|)δ(x

_{1}+x

_{2})δ(x

_{3}+x

_{4})W(|x

_{1}+x

_{2}|)W(|x

_{3}+x

_{4}|)

x

_{i}is a vector

The "δ" is the Dirac delta.

P(|x|

_{i}) & W(|x

_{i}+x

_{j}|) are some functions

I would like to make it looks a bit simpler---I mean get rid of deltas and two integrals. How can I make it?

Thanks for help and sorry for spelling mistakes!