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(x*Sqrt[a - b*x^2])/2 + (a*ArcTan[(Sqrt[b]*x)/Sqrt[a - b*x^2]])/(2*Sqrt[b])

Integrate[Sqrt[a - b*x^2], x] ==
(x*Sqrt[a - b*x^2])/2 + (a*ArcTan[(Sqrt[b]*x)/Sqrt[a - b*x^2]])/(2*Sqrt[b]) 

                      2
Integrate[Sqrt[a - b x ], x] == 

                              Sqrt[b] x
                   a ArcTan[--------------]
              2                         2
x Sqrt[a - b x ]            Sqrt[a - b x ]
---------------- + ------------------------
       2                  2 Sqrt[b]
Time to compute: 0.05 second
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