Page 141 - Math Grade 12 (Basic)
P. 141

PROEUS DARA

               3UJWUm:  tH1.fl m ~ ( 4x- S)dx + t  (5- 6x)dx


                 ~  -5)dx+t(5  6x)dx =  [(4x-5)+(5-6x)]dx

                                                           2  4
                                          =  (-2x)dx=[-x] =  16+4=-12
                                                             2
                                       (5-       = -12  '1














                                                = 3f ~dx +    xdx
                                                   )2 X-





         a.    e;~mme~ei~rufi~ftu:!~w~utu.1~

                                                      :II
                  u  =  g(x)  m·tH'itl'i:f!Sb'i'Jh~nli  [a,  b]  bSlg  f' f[g(x)]g'(x)dx  = fl'(bl f(u)du  '1
                                                           )a                jg(a)

               Mtt:nmuqpfi  :     mtl F  dlLn~9~tSf  £8'1&  F' = f  2tl

                                                           b
              ~f[g(x)]g'(x)dx =     '(g(x))g'(x)dx  =  [F[g(x)]J"
                               =  F[g(b)  -F[g(a)  =   (b)  f(u)du  '1
                                       ]
                                                J  .r; g(a)




                            3
               n.        + 1)  dx



               ~         f   2    3
               n.  ~Hl.SlSl  Jox(x  + 1)  dx


                  mtl  u  =  i  + 1  '  du  = 2xdx  ~ ~du = xdx

                     ""  m x  = o  ~;mg  u  =  1
                     ..,
                    m x  =  2  tm&  u  =  5
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