let-x-gt-1-find-the-value-of-F-x-0-ln-1-xt-2-dt-2-calculate-0-ln-1-3t-2-dt-

Question Number 38460 by maxmathsup by imad last updated on 25/Jun/18

l e t ∣ x ∣> 1 f i n d t h e v a l u e o f

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

2) c a l c u l a t e \int_{0}^{\infty} l n (1 + 3 t^{2}) d t .

Commented by abdo mathsup 649 cc last updated on 05/Jul/18

t h e Q i s f i n d F (x) = \int_{0}^{1} l n (1 + {x t}^{2}) d t w i t h ∣ x ∣> 1

2) c a l c u l a t e \int_{0}^{1} l n (1 + 3 t^{2}) d t .