Solution 2.9.3.4 F(s) = Z 1 0 sinh(t)e ;st dt = Z 1 0 e t ;e ;t 2 e ;st dt = Z 1 0 e ;(s;1)t 2 dt; Z 1 0 e ;(s+1)t 2 dt = ;1 2(s;1) h e ;(s;1)t i 1 0 ; ;1 2(s+1) h e ;(s+1)t i 1 0 = 1 2(s;1) ; 1 2(s +1) ;; Re (s) > 1;; = 1 (s;1)(s+1) ;; Re (s) > 1;; 1