Question: Solving badly behaved integrals

I am having problems replicating the results from a theoretical physics paper from 1968. The paper deals with how lasers behave in certain material types, in this case nonlinear optical materials. But on to the maths, I'm trying to solve a couple of integrals but it would appear that they are very badly behaved with quite horrid results when i compare the plots to the plots in the paper. I have resorted to using Int to try and solve them numerically which sort of works, but using either numerical or analytic methods maple cannot give an answer for some values of parameters and just sits there for hours trying to solve it. I have included a rather detailed maple file which should hopefully explain in more detail the problem i am having. Thanks for taking the time. Huw. View 3282_Boyd and Kleinman.mw on MapleNet or Download 3282_Boyd and Kleinman.mw
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