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

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

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

-2 ArcTan[x] + Log[-1 + x] - Log[1 + x]
---------------------------------------
                   4
Time to compute: < 0.01 second
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