Integral of an Infinite Product of Binomials?

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ecpietscheck
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Hello there,
I posted the very same question before, nonetheless received no answers since -i presume- new posts arose and mine went on to the back of the data registry.
I know many of you are math and physics experts, that's why I want you to please help me find out the integral of a product of binomials, as n tends to infinity.
I kind of need urgently, so have any of you got any ideas regarding this topic?
Any help will be greatly appreciated
Cheers.
 
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