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Integrate[1/(2 - x^2 + x^4), x] ==
((-I)*ArcTan[x/Sqrt[(-1 - I*Sqrt[7])/2]])/ Sqrt[(7*(-1 - I*Sqrt[7]))/2] + (I*ArcTan[x/Sqrt[(-1 + I*Sqrt[7])/2]])/ Sqrt[(7*(-1 + I*Sqrt[7]))/2]



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

                   x
-I ArcTan[--------------------]
               -1 - I Sqrt[7]
          Sqrt[--------------]
                     2
------------------------------- + 
        7 (-1 - I Sqrt[7])
   Sqrt[------------------]
                2
 
                    x
  I ArcTan[--------------------]
                -1 + I Sqrt[7]
           Sqrt[--------------]
                      2
  ------------------------------
          7 (-1 + I Sqrt[7])
     Sqrt[------------------]
                  2

Time to compute: 0.64 second

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