Show where is Catalan's constant.

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- August 11th 2010, 05:56 PMchiph588@Catalan's Constant
Show where is Catalan's constant.

- August 11th 2010, 08:16 PMchisigma
Setting the integral becomes...

(1)

Now with a little of patience You can demonstrated that in general is...

(2)

... so that, tacking into account that for is...

(3)

is...

(4)

This integral is very similar to the integral resolved here...

http://www.mathhelpforum.com/math-he...ls-151443.html

Kind regards