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

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

             2
            x
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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