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VED1
          E\L-LOVELY-H\math13-1 IInd 21-10-11  IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12


                                                                                     bdkbZ     lekdyu dh fof/;k¡





                      2
                ∫ x  x − 1  !                             ∫ x  tan − x 1 4 x 2  dx                 uksV
                                                            1 +
                      1
                ∫  x  [ x + 1]  !


                                                mÙkj
                    1                                    1   3
                        2
                 &   sin x +  c                       '   sin x +  c
                    2                                    3
                     1   3                                1   3
                 %   −  cos x +  c                    !  −  cot x +  c
                     3                                    3

                   1    p
                      sec x + c
                    p
                    1
                            3
                                                                  )
                 &    (log x ) +  c                   '  sin (log x + c
                         e
                    3                                          e
                   1
                 %    (1 +  log x ) +  2  c           !  tan (log x +  c
                                                                  )
                   2        e                                   e
                                                            1          xn + 1

                 &  
 
   / %                         '   bn  1)  (a +  be  )  +  c
                                                          ( +
                    1     − 1
                 %    e m sin  x  +  c                !  e tan x  + c
                   m
                   1 +  x tan − 1  x                     1
                 &              +  c                  '   (tan − 1  ) x  2  +  c
                       1 +  x 2                          2

                   1
                 %    (sin − 1  ) x  3  +  c
                   3
                  2
                 (x − 1) 3/ 2                         *  (  1        2
                          + c                                  − 1  x 2 ) tan  + c
                     3                                   4
                             +
                2log|1 +   x | c


          13-5 ,slh fHkUu dk lekdy ftldk va'k            +	gj              	dk
                vody&xq.kkad gks  
   %           $           !$ 
  ,     -
                     
 
   %  &                 $


                      ′(
                    ∫ f x)
          eku yks gesa   f x   !  dk eku Kkr djuk gS tgk¡   ′   .      dk vody&xq.kkad gSA
                       ()
                                      - # j[kus ij]   ′     !  - !#
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