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(x*Sqrt[1 - a*x^2])/2 + ArcSin[Sqrt[a]*x]/(2*Sqrt[a])


Integrate[Sqrt[1 - a*x^2], x] ==
(x*Sqrt[1 - a*x^2])/2 + ArcSin[Sqrt[a]*x]/(2*Sqrt[a])



                      2
Integrate[Sqrt[1 - a x ], x] == 

              2
x Sqrt[1 - a x ]   ArcSin[Sqrt[a] x]
---------------- + -----------------
       2               2 Sqrt[a]

Time to compute: 0.04 second

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