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-2*Sqrt[2 - 2*Cos[x]]*Cot[x/2]

Integrate[Sqrt[2 - 2*Cos[x]], x] ==
-2*Sqrt[2 - 2*Cos[x]]*Cot[x/2] 

Integrate[Sqrt[2 - 2 Cos[x]], x] == 

                          x
-2 Sqrt[2 - 2 Cos[x]] Cot[-]
                          2
Time to compute: 0.02 second
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