Page 130 - Math Grade 12 (Basic)
P. 130

PROEUS DARA



                                                         2B


                  ~S'Utt:iQlS  2x+4  =

                                     jC=2
                    A+C=O
                  -2A+B=2  iJ~  A=-2  ~mg
                  j
                   -2B = 4            B  = -2


                           2   4         2   2
                  tt:iQlS  J x +   dx  = J[- + -  + _3_Jdx = -2J!dx
                          X3 + 2x2      X        X- 2         X




                                                2
                                    = -2    lxl  +- + 2   !x- 21  + c  ,  c E IR
                                                X
                             2x+4   dx=-2~nlxl+-+2t-nlx  2l+c      ,  cEIR  '1
                                                 2
                                           fl
                                                      fl
                             3    2
                          f  X  +2x              X
                                  t:irulSl  J(  2    )dx
                                            x  + 2x + 1
                             3               3x + 2  = x _  +  3x + 2
                  tt:i'i:flS   X   =  X   2 +             2          =X
                         i  + 2x+ 1          + 2x +I         (x +  1
                                          B
                                  A
                        3x + 2
                       ----:: = --+----:: =      Ax+ A + B
                       (x + 1)2   x + l
                  tt:iQlS  3x+2  = Ax+A+B  ttilttiO'i:Hill~t:irul  tt:iQ12  A=  3  ,  B  = -1  tmg
                                                 <I      1
                      3
                     x               3
                 -::----=X  2+--
                 i  + 2x +  1       x +  1
                       3                          l  J
                                           3
                                                                             1
                      x     dx  = f[x  2 + --          dx  = Jxdx- 2fdx + 3J--dx
                    2                                2
                 f  X  .+ 2x + 1         X+  1   (x + l)                   X+  1
                                   2
                                                       l
                                =  ~-2x+3     lx+ll+-·-+c,  cEIR
                                  2                  x+I
                                                                1
                               x  3   )  dx  =-  2x+ 3 fn lx+ II +-- +c  ,  cEIR  '1
                         J(  2                                x+l
                           x + 2x +I       2
                  t.,uRuH  : t:1 ru1 m ffitl t 61L ff1 ru & s ~ ~ t:i1H1 M 2 91 s ~{Hun~
                  ~ f     1    d  x     ~-
                  n.
                       2
                      x  + 3x-4                                      R.  J(i -2x+ Jdx  '1
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