Because is an 'even function' we can swap x with -x and obtain...
(1)
Because for , integer is...
(2)
... is...
(3)
... so that the integral (1) converges. Its value can be computed in 'standard form'...
(4)
Kind regards
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "divergent."
I don't get what to do next, but turns out the integral is
arctan(x) I don't know where to continue from there.