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

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

Integrate[ArcSin[a x], x] == 

          2  2
Sqrt[1 - a  x ]
--------------- + x ArcSin[a x]
       a
Time to compute: 0.02 second
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