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


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



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

                         2    2
Log[a x]   Log[x + Sqrt[a  + x ]]
-------- - ---------------------- - 
   a                 x
 
          2           2    2
  Log[2 (a  + a Sqrt[a  + x ])]
  -----------------------------
                a

Time to compute: 0.03 second

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