let-F-x-0-x-ln-1-t-2-t-2-dt-1-calculate-F-x-2-find-the-value-of-0-ln-1-t-2-t-2-dt-

Question Number 34253 by math khazana by abdo last updated on 03/May/18

l e t F (x) = \int_{0}^{x} \frac{l n (1 + t^{2})}{t^{2}} d t

1) c a l c u l a t e F (x)

2) f i n d t h e v a l u e o f \int_{0}^{\infty} \frac{l n (1 + t^{2})}{t^{2}} d t