Page 94 - 6637
P. 94

i             iπ     ax
                            Z
                                sech(ax) dx =       log tanh        +
                                                  a              4      2
                            Z
                                                  1
                                coth(ax) dx =       log sinh(ax)
                                                  a


                            Z
                                                 1            x
                                x sin ax dx =       sin ax −     cos ax
                                                a 2            a

                                                                 2 2
                            Z                     2x            a x − 2
                                 2
                                x sin ax dx =        sin ax −              cos ax
                                                  a 2               a 3
                            Z
                                                 1             x
                                x cos ax dx =       cos ax +     sin ax
                                                 a 2           a


                                                                  2 2
                            Z                     2x cos ax      a x − 2
                                 2
                                x cos ax dx =                +             sin ax
                                                      a 2           a 3
























































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