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          E\L-LOVELY-H\math12-1 IInd 21-10-11  IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12


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                                                                                                   uksV
                                           iz'ukoyh 12-2

                fuEufyf[kr dk eku Kkr dhft,µ
                ∫  (e +  x  2 sin x −  3cos ) dx         ∫  (x −  2  cos x +  x  x
                                    x
            1-                                        2-              sec tan ) dx -
                ∫  (7x −  6  8x +  3                     ∫  (x +  2) (2x +
            3-                5) dx -                 4-              6) dx -


                ∫  ax +  3  bx +  c                        (1 +  ) x  3
            5-         x 2    dx -                    6-  ∫   x   dx -

                            
                            
            7-  ∫        1 x  −  x dx -            8-           3x +  2  4x +  x  5    ∫      dx -
                            
                                                                              
                                                                               ∫
                ∫   x                                        1 +   x +  x 2  +  x 3  +  ... dx -
                                                                              
            9-     a +  x  dx -                      10-         2!  3!     
                ∫  (1 −  x 2                             ∫  e log x
           11-          ) xdx -                      12-     x  dx -

                                                            4
                         5    x                    14- ∫  x + 1 dx
           13-       cosx −  +  e   ∫  dx -               2       -
                         x                               x + 1

                                                mÙkj

                                                         x 3
                   2    
   2 ! 
 
   / %                   −  sin x +  sec x +  c

                                                         3
                                                         2

            !      2    /'  / %                       $    x +  3  5x +  2  12x +  c

                                                         3
                 a  2           − c                      2      6x 3/ 2
                             x
            '      x +  b  log | |  +  c 1            *    x 7/ 2  +  +  2x 3/2 /  2 x  / %
                           e
                 2              x                        7        5
                                                               3   4     
            7   2x 1/2  −  2/3 x 3 /2  +  c           8  2 x    x +  5  x +  5 +    c
                                                               5   3     
                                                            x 2  x 3
            9     & @ ,  H & /   H / %                3  x +   +    +  ....
                                                            ∠2   ∠3
                 2      2
                  x 3/ 2  −  x 7 / 2  +  c                 / %
                 3      7

                                                          2

            !   
 
   2 ' @ , H  H )    / %           $  −  cosec x +  sec x +  c
                                                          3
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