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(-2*Sqrt[1 - Cos[a*x]]*Cot[(a*x)/2])/a

Integrate[Sqrt[1 - Cos[a*x]], x] ==
(-2*Sqrt[1 - Cos[a*x]]*Cot[(a*x)/2])/a 

Integrate[Sqrt[1 - Cos[a x]], x] == 

                          a x
-2 Sqrt[1 - Cos[a x]] Cot[---]
                           2
------------------------------
              a
Time to compute: 0.02 second
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