Example I 4s+5 If F(s) ,Find∫(t) s2+5s+6 Solution: N(s)=45+5 and D()=s2+55+6=(5+2)(5+3) e have p 4s+5 4s+5 k1=(s+2) 3 (+2)+3)s=-2L(s+3)s=-2 4s+5 4s+5 k2=(s+3) 7 (s+2s+3)s=-3L(+2)s=-3 f()=(-3e2+7e1)u()Example 1: , ( ). 5 6 4 5 ( ) 2 Find f t s s s If F s + + + = Solution: N(s)=4s+5 and D(s)=s2+5s+6=(s+2)(s+3) We have p1= -2,p2= -3 3 ( 3) 2 4 5 ( 2)( 3) 2 4 5 ( 2) 1 = − = −       + + = = −       + + + = + s s s s s s s k s 7 ( 2) 3 4 5 ( 2)( 3) 3 4 5 ( 3) 2 = = −       + + = = −       + + + = + s s s s s s s k s ( ) ( 3 7 ) ( ) 2 3 f t e e u t − t − t  = − +