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According to Wolfram alpha, the answer is
Is there a way of arriving at this result without using dilogarithms? I've tried using integration by parts and logarithmic series, but to no avail.
As in...
http://www.mathhelpforum.com/math-he...te-159304.html
...You start with the general formula...
(1)
... and because for ...
(2)
... combining (1) and (2) You have...
(3)
Kind regards