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2*(2*x^(1/4) + Sqrt[x] + 2*Log[-1 + x^(1/4)])

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

                 1
Integrate[---------------, x] == 
            1/4
          -x    + Sqrt[x]

      1/4                         1/4
2 (2 x    + Sqrt[x] + 2 Log[-1 + x   ])
Time to compute: 0.01 second
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