Question

Would someone mind checking my work?

Answer 1

The question asks "Does the following series converge or Diverge?:

\[\sum_{}^{}\frac{ \arctan(x) }{ x^2+1 }\]

Answer 2

You got a little sloppy on your first step,
leaving half of the integral in terms of k, the other half in terms of x,
and I don't see a differential anywhere.

Answer 3

yaaaa, seems good besides that though.

Answer 4

whoops, thanks I didnt catch that. Ill clean it up a bit. Thanks!