Can the Integral of a Difficult Series be Simplified?

[Kruger]

What I'm trying is to rewrite this as on this webpage http://en.wikipedia.org/wiki/Series_(mathematics) under the topic "Some types of infinite series".

It would not be difficult if the square rood weren't there. Can somebody help. Thanks for any help.

 

[Kruger]

Can we solve this or is this just unsolvable? Or can one only find something by applying the Euler-Mclaurian formula?

 

[arildno]

You haven't stated what you are after exactly.