find-f-x-0-arctan-xt-2-dt-with-x-fromR-

Question Number 41273 by prof Abdo imad last updated on 04/Aug/18

f i n d f (x) = \int_{0}^{+ \infty} a r c t a n ({x t}^{2}) d t w i t h x f r o m R .

Commented by MJS last updated on 04/Aug/18

I think this integral is divergent

x < 0 \Rightarrow f (x) = - \infty

x = 0 \Rightarrow f (x) = 0

x > 0 \Rightarrow f (x) = + \infty

Commented by math khazana by abdo last updated on 04/Aug/18

y e s s i r i w i l l c h a n g e t h e q u e s t i o n t h a n k s