Show where is Catalan's constant.
Show where is Catalan's constant.
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