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


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



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

       x
ArcTan[-]
       c    Log[-c + x]   Log[c + x]
--------- - ----------- + ----------
     3            3             3
  2 c          4 c           4 c

Time to compute: < 0.01 second

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