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ArcTanh[x/a]/a


Integrate[1/(a^2 - x^2), x] ==
ArcTanh[x/a]/a



             1
Integrate[-------, x] == 
           2    2
          a  - x

        x
ArcTanh[-]
        a
----------
    a

Time to compute: < 0.01 second

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