Page 19 - BUKU KALIN (bismillah Fix)_Bab 6
P. 19

1     1 +   
                         −1
                 .  tanh    =        ln
                                  2     1 −   

                  Jelas,

                                              1     1 +   
                     (tanh  −1    )          ( ln   1 −    )
                                              2
                                    = (                      )
                                                      



                    (tanh   −1    )    1   |ln (1 +   )|         |ln (1 −   )|
                                   =  [                     −                   ]
                                       2                                  


                    (tanh   −1    )

                            

                                    1   |ln(1 +   )|   (1 +   )
                                 =  [                    .
                                    2       (1 +   )               

                                      |ln(1 −   )|   (1 −   )
                                 −                   .            ]
                                                              

                    (tanh   −1    )    1      1          1
                                   =  [            +         ]
                                       2 1 +          1 −   

                    (tanh   −1    )    1 1 −    + 1 +   
                                   =  [                      ]
                                       2        1 +    2

                    (tanh   −1    )    1      2            1
                                   =     .          =
                                       2 1 −      2    1 −     2






                                    1
                 .   coth −1     =  ln   1+  
                                    2    1−  
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