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-ArcTan[2*Cot[x/2]]/2


Integrate[1/(5 + 3*Cos[x]), x] ==
-ArcTan[2*Cot[x/2]]/2



               1
Integrate[------------, x] == 
          5 + 3 Cos[x]

              x
-ArcTan[2 Cot[-]]
              2
-----------------
        2

Time to compute: 0.02 second

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