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(Log[x] - Log[2*(5 + Sqrt[25 - 4*x^2])])/5


Integrate[1/(x*Sqrt[25 - 4*x^2]), x] ==
(Log[x] - Log[2*(5 + Sqrt[25 - 4*x^2])])/5



                  1
Integrate[-----------------, x] == 
                         2
          x Sqrt[25 - 4 x ]

                                 2
Log[x] - Log[2 (5 + Sqrt[25 - 4 x ])]
-------------------------------------
                  5

Time to compute: 0.02 second

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