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-(2*ArcTan[x/2^(1/4)] - Log[-2 + 2^(3/4)*x] + Log[2 + 2^(3/4)*x])/(4*2^(3/4))


Integrate[1/(-2 + x^4), x] ==
-(2*ArcTan[x/2^(1/4)] - Log[-2 + 2^(3/4)*x] + Log[2 + 2^(3/4)*x])/(4*2^(3/4))



             1
Integrate[-------, x] == 
                4
          -2 + x

            x                3/4
-(2 ArcTan[----] - Log[-2 + 2    x] + 
            1/4
           2
 
              3/4           3/4
     Log[2 + 2    x]) / (4 2   )

Time to compute: 0.04 second

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