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-Log[c^2 - x^2]/2

Integrate[x/(c^2 - x^2), x] ==
-Log[c^2 - x^2]/2 

             x
Integrate[-------, x] == 
           2    2
          c  - x

      2    2
-Log[c  - x ]
-------------
      2
Time to compute: < 0.01 second
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