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(x + Log[-Cos[x] - Sin[x]])/2

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

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

x + Log[-Cos[x] - Sin[x]]
-------------------------
            2
Time to compute: 0.03 second
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