Page 128 - Math Grade 12 (Basic)
P. 128

PROEUS DARA







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                   3 fntn UIJJ 1  :  f:Hl.Jl 2l
                   _2 _  + _3_  =  2 ( x - 3 ) + 3 ( x +  I )  =  2x   =  -:----::-c-;-----::-:-
                   x+ 1  x-3       (x+  l)(x-3)       +

                   t til rutHi'i'li.fflf:l 1:24 ~b ~l:Hj;jb  tf:llilS'i'li.fflf:lt 24 ~b ~b nil  <J  HfHu't3n1 m~ nthud1 li'i
                         U  Li        A     /J       Li         A    n    Li       ""'-'   tJ
                                             3
             r:o~  A  2b s  r:mrutlbm                -=L +  s
                                                     x+ 1  x-
                      5x  3        A     B
                   -------,- = -- +
                   (x+ l)(x-3)    X+  I   X-
                   l:f:llilS  5x-3  =(A+

                      A+B=5
                   {  -3A+B =  -3
                                                                 2     3
                   l:f:llllS  A=  2  ,                              +
                                                                      X-











                   !JfntniM 3  :  fJHuHM~Lti.fflf:l   6 x +  7   ttnj ill\jntSLli.fflf:lbl ru  ~uf:lM 21


               6x + 7?dx
             f  (x+2t

                   l:f:l'i:flS  6x + 7  =  A  +   B
                          (x+2)2   x+
                                                                                  6
                   r;mg  6x+7  = Ax+2A+B  ttilt15tl't3i:ill2b't3f:lM  tf:llil2  {   A=
                                                  ~         I            2A + B  =  7
                   l:f:llll2  A  =  6  ,  B  =  -5

                     6x+ 7 d  f[  6                =
                   f  (x+2)2  x  =   x+2

                                       2            2                   5
                              =  6f!,x+ )'dx  5J(x+ )'dx  =  6   lx+21 +--+c  ,  cEIR  '1
                                 J  x+2         (x+2)  2               x+2
                   m~wi tf:lffiuUttinLti.fflf:l  ~~:~  ctlLti.fflf:lbltiHil1:3nH1Jl  Q(x)  ~u~btLfil1:3

                   fi.  nSM                   +     +
                          ""  Q(x)  =(ax+
                       P(x)  =  A(x) +  AI               + ...
                       Q(x)         ax+

                      UiJRM~ '1
                       u
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