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-Cos[x]^2/2


Integrate[Tan[x]/(1 + Tan[x]^2), x] ==
-Cos[x]^2/2



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

       2
-Cos[x]
--------
   2

Time to compute: < 0.01 second

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