Solution 2.9.2.2 f(t)=e ;at [1(t;T);1(t ;2T)] Then F(s) = Lfe ;at [1(t;T)g;1(t; 2T)]g = Lfe ;at 1(t;T)g;Lfe ;at 1(t ;2T)g = Lfe ;aT e ;a(t;T) 1(t; T)g;Lfe ;2Ta e ;a(t;2T) 1(t; 2T)g = e ;aT e ;Ts s + a ; e ;2aT e ;2Ts s + a = e ;aT e ;Ts ;e ;2aT e ;2Ts s + a Check: F(s) = Z 2 T Te ;at e ;st dt = ;1 s + a h e ;(s+a)t i 2T T = ;1 s + a h e ;(a+s)2T ; e ;(s+a)2T i = e ;aT e ;sT ;e ;2aT e ;2Ts s + a 1