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2/(1 + Cot[x/2])


Integrate[1/(1 + Sin[x]), x] ==
2/(1 + Cot[x/2])



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

    2
----------
        x
1 + Cot[-]
        2

Time to compute: 0.02 second

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