Page 243 - Math Grade 12 (Basic)
P. 243

PROEUS DARA





       I.  . n.   =  -7x+4  2'12J       =  -7  =    ,  VxEIR


                                                            ,  VxEIR
                      3
                             o:;::
                                           ~
          2.      = 3x· - 7 x  Sl '\}   =  9x~ -7 =  f(x)  ,  Vx E  IR

                      x2   1   o
                  =  3e   -7 Sl2J       =         =      ,  VxEIR

                                                           ,  VxEIR

                         3x      f11   °:;::     (e3x- x)'  -- 3e3x- l  -- f(x)
          lli.     = ln(e·  -x) + .yll Sl'\j  F                            ,  'VxEIR  '1
                                                   3x
                                                  C    X       -X


       2.  n.


                  = Jf(x)dx  = J5dx  =  5x+c  ,  cE IR  '1
          2.


                  = Jf(x)dx  =  j{-4x+3)dx  =  -2i+3x+c  ,  cE  IR

                                               + 3x + c  ,  c E  1R




                                                        3  2
                  = Jf(x)dx  = J<-i+3x+5       =      +  x  + 5x + c   c E  IR
                                                        2
                                            1  3   3  2
                                        =   3 x  +  x  + 5x + c  ,  c E  IR
                                                 2
                      Q) C»C»   ":)   cl    0    ~  ~   ~   Q1
          m.       ctl1§1'i:H?'HSH~~1:Hl  f(x)  nn.nnsbmmrum~u I  tSlgt~ms
                                2       1
                  = Jf(x)dx  = fxdx  =  2fxdx =  2lnlxl + c  ,  c E  IR
                           r:l   C»  Q)Q}
             i::itHS&  HS~'i:3S'irt'i:Hi11  F(x) = 2lnlx\ + c  ,  c E  IR
              l.l      1    lj
                       e»  C»Q)   '=>   cr   o   t  ~   ,   C$
                    ctl'irt'i:39~tSHS~'i:3s  f(x)  nn.nnshmmrumSlg  1  tSln~ms
                      lj         I                            ~
                                  1       1    1        '      1
                  = Jf(x)dx  =          = 3f x+ (3x+2)  dx  =  Jnl3x+21 +c  ,  cE IR
                                            3    2             3
                                          1
                                        :::::  3ln l3x + 21  + c  ,  c E  IR






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