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2*Sqrt[2 + 2*Cos[x]]*Tan[x/2]

Integrate[Sqrt[2 + 2*Cos[x]], x] ==
2*Sqrt[2 + 2*Cos[x]]*Tan[x/2] 

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

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