Page 147 - Math Grade 12 (Basic)
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PROEUS DARA

        4.  tf:l'i:ll2f  sh h  t:hH~fi'l:3SrtrcitUiru   f(x)dx  =  -1  ,  }t(x)dx =  s  , th(x)dx =  4  '1


           f:lMSl
           n.   [ -2f(x)]dx                ::3.   [f(x)- h(x)]dx


           R.   f(x)dx                    lil}[f(x) + h(x)]dx


                     0   Q         e)   0      '
        5.  n.  f:lMSl11~21:HiA,  B  tr:HlimmgLfili  xEIR-{-1,-2}
                    X      =   A  +  B   '1
               (x+l)(x+2)    x+     x+
                                :  f'    x      dx  '1
                                  J3(x+l)(x+2)
                                                                  2
                                                                 x + 3x            C
                                  C  ttlruthmg~ti xE IR-{-2}  , ---     =  Ax+B+-,..,  '1
                                                                  x+  2           x+ .:-

                                                                             f
                      eto   ,   CO$
        7.  f  t:h~Hjf:l'i:32nn.fHHilliR  tr:J!ru:   = l(x  l)(x-2)1  '1  fiMSl  J  = Jof(x)dx  '1
                                                               4
        8.  t  t:hH2fi'i:3SRM~tru (2,  +oo)  nllru  :  J(x)  =   - x+  4   '1
                  1
                                                         (2x-
                           v
           n.  fiMSl  a,  b  ttlill  f(x)  =   a   +   b   '1
                                        (x- 1       3
                                                           1
                                                             3
                                                  h(x)  = ~ '1
                                                         -X


                                                                   I
                                                              + 1 )e  X  '1  'i.Hrl mm h  mucm9l
                                                                         tJ1   "'-.J)



                                                              n
                     C»   0            e)   C»                  2
        to.  n.  n:llruttu-nht61'ifnrnttilrutdnmtlh   fiMSl  )ox cos2xdx  '1
                      &      ~          ~
                           rr                   rr
                                                  2
                                 2
            2.  tfiti5n  l  = fiicos xdx  stl  J  = fix sin2xdx  '1
                    .  fiMSll+J               .  fiMSl  I-J.  9lm~ni  shJ  '1
                                                                 "'-.J)

        11.  2li'i:llGl  /of(x)dx  =  3  '1  ROil Sl   f(x)dx












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