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-(Log[x + Sqrt[-a^2 + x^2]]/x) - (I*Log[((-2*I)*a)/x + (2*Sqrt[-a^2 + x^2])/x])/a

Integrate[Log[x + Sqrt[-a^2 + x^2]]/x^2, x] ==
-(Log[x + Sqrt[-a^2 + x^2]]/x) - (I*Log[((-2*I)*a)/x + (2*Sqrt[-a^2 + x^2])/x])/a 

                         2    2
          Log[x + Sqrt[-a  + x ]]
Integrate[-----------------------, x] == 
                     2
                    x

                 2    2
  Log[x + Sqrt[-a  + x ]]
-(-----------------------) - 
             x
 
                            2    2
        (-2 I) a   2 Sqrt[-a  + x ]
  I Log[-------- + ----------------]
           x              x
  ----------------------------------
                  a
Time to compute: 0.05 second
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