let-f-t-0-e-arctsn-1-tx-2-dx-with-t-from-R-1-calculate-f-t-2-find-a-simple-form-of-f-t-

Question Number 35982 by abdo mathsup 649 cc last updated on 26/May/18

l e t f (t) = \int_{0}^{\infty} e^{- a r c t s n (1 + {t x}^{2})} d x w i t h t f r o m R

1) c a l c u l a t e f^{^{'}} (t)

2) f i n d a s i m p l e f o r m o f f (t) .