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


Integrate[1/(x*Sqrt[a^2 + x^2]), x] ==
(Log[a*x] - Log[2*a*(a + Sqrt[a^2 + x^2])])/a



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

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

Time to compute: 0.01 second

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