Page 26 - Integration Problems
P. 26

2        1
                               = ∫ (1 − )      

                                    1           

        Performing the integration,

                        2        1
                                                               2
                      ∫ (1 − )       = [   − ln(|  |)]
                                                               1
                       1           
                                                   2
                                  [   − ln(|  |)]
                                                   1
        Substitute back,

                                                   
                                      = 1 +   

                                                          2
                                                       
                                     
                           [1 +    − ln(|1 +    |)]
                                                          1
        This becomes,
                                     2
                                                                      1
                                                    1
                    2
           [1 +    − ln(|1 +    |) − 1 −    + ln(|1 +    |)]
        or

                                               1 +    1
                              2
                                     1
                               −    + ln (              )
                                               1 +     2

        The keystrokes for your fx calculator to perform this
        calculation are,
         qH2$pqH1$+ha1

         +qH1R1+qH2$$)
                                         =


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