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2. The time differentiation theorem du(t) s(s)-b(0-) d u(t) dt dt 2 冷→s(s)-sb(0-)-U(0-) 3. Time integration theorem (s) D(x)d分> 4. The sinusoidal function Jat-e-jot Rsin@ tu(t)=L 2j j's-jo S+j@ S+O LcoS otu(o)=L3 lejot +e-jot 2 2 S-jo S+jo S+O d sinat Lcos o tu(t)9=L o dt S"+ s+O2. The time differentiation theorem sV(s) ( ) dt d (t )  − 0−  s V(s) s ( ) ( ) dt d (t ) '  − 0− − 0− 2 2 2    3. Time integration theorem  −  t s V s x dx 0 ( ) ( ) 4. The sinusoidal function           − = − j e e L t u t L j t j t 2 sin ( )              + = − 2 cos ( ) j t j t e e L t u t L            = dt d t L t u t L    sin cos ( ) 2 2 1 1 2 1     + = + − − = s ) s j s j ( j 2 2 1 1 2 1   + = + + − = s s ) s j s j ( 2 2 2 2 1     + = + = s s s s
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