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Question: Evaluate definite integral with infinite sum

Question:Evaluate definite integral with infinite sum

s144117 5 Maple 2018
integration sum cdf
October 22 2018
1

Hi

I am trying to evaluate a function that contains an infinite sum. I need to evaluate the integral to determine a CDF, and from that hopefully the inverse CDF in order to sample the corresponding PDF.

The sum comes from a 2F1 hypergeometric function, which I have written manually in the attached file.

Can anyone tell me if and how it is possible to evaluate this integral, with respect to x?

I have inserted an image below, but also the entire file :) Marginal2.mw

Thanks in advance.

 
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