I think that this is wrong.
Integrate the formula of sum arctan(x^2) again...
We're asked to show the improper integral
as a power series.
I start with what I know. That is
I'm trying to see the pattern here, in order to put this in sigma notation, however I'm afraid that when I do I still won't grasp what's going on here with series.
Knowing that, it's not hard to integrate the terms and see that
But here's where I get stuck...
Am I going about this the right way?
Thanks in advance.