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Sqrt[9 - 4*x^2] + 3*Log[9*x] - 3*Log[2*(3 + Sqrt[9 - 4*x^2])]

Integrate[Sqrt[9 - 4*x^2]/x, x] ==
Sqrt[9 - 4*x^2] + 3*Log[9*x] - 3*Log[2*(3 + Sqrt[9 - 4*x^2])] 

                      2
          Sqrt[9 - 4 x ]
Integrate[--------------, x] == 
                x

            2
Sqrt[9 - 4 x ] + 3 Log[9 x] - 
 
                           2
  3 Log[2 (3 + Sqrt[9 - 4 x ])]
Time to compute: 0.02 second
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