Integral between 0 and infty of {1- (1/pi) [arctan(4/x)-arctan(-4/x)] } *(1/x) dx?

Integral between 0 and infty of {1- (1/pi) [arctan(4/x)-arctan(-4/x)] } *(1/x) dx? [closed]

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Hello,

I would need to calculate the integral between 0 and +infty of {1- (1/pi) [arctan(4/x)-arctan(-4/x)]}*(1/x) dx.

Could you please let me know how to do that and what's the correct answer?

Thanks loads in advance for your help;

All the best, Elise

flag	asked Apr 2 2011 at 11:41 Payze 11●2

	Probably this is not a research-level math question? If not, then it goes in another web site, instead. For example: artofproblemsolving.com – Gerald Edgar Apr 2 2011 at 13:18
	The integral diverges at infinity. – Michael Renardy Apr 2 2011 at 15:11