Solving a integral with summation

I'm trying to solve this equation which has summation inside the integral

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What have you done so far? Your need to describe each of the variables (i.e., constant, array length,...) and provide the code that you have tried, and then ask a specific question.
Hi PS,
Since you are integrating w/r/t epsilon, the first thing to do is program this expression up as a function of a vector of epsilion values, only without the summation on n. Say, just for n = 1, Then see how it behaves. There is a 1/epsilon^3 term in front, and when Omega and Omega' are different it appears like the expression might blow up like 1/epsilon as epsilon --> 0. Then you can't even integrate it, so that's one of the first things to check.

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