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


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



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

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

Time to compute: < 0.01 second

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