another integral

From: sokol <mirek.hyza@xxxxxxxxx>
Date: Fri, 16 Nov 2007 15:36:52 EST

Integrate[ArcTan[ix]/x,{x,0,1}]=i*pi^2/8

Hello,

is it possible to prove equation above without a series expansion? More precisely spoken, is there way how to solve integral "Integrate[ArcTan[ix]/x,{x,0,1}]" without knowledge of sum Sum[1/(2k+1)^2,{k,0,inf}]=pi^2/8?

Any hints are welcome.
Thanks
.

Follow-Ups:
- Re: another integral
  - From: OPPT
- Re: another integral
  - From: tommy1729

Prev by Date: Multilateration with 3 receivers
Next by Date: Re: Set Packing question
Previous by thread: Multilateration with 3 receivers
Next by thread: Re: another integral
Index(es):
- Date
- Thread