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-(2*ArcTan[5^(1/4)*x] - Log[-1 + 5^(1/4)*x] + Log[1 + 5^(1/4)*x])/(4*5^(1/4))

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

              1
Integrate[---------, x] == 
                  4
          -1 + 5 x

            1/4                1/4
-(2 ArcTan[5    x] - Log[-1 + 5    x] + 
 
              1/4           1/4
     Log[1 + 5    x]) / (4 5   )
Time to compute: 0.04 second
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