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-(x*Sqrt[a - b*x^2])/(2*b) + (a*ArcTan[(Sqrt[b]*x)/Sqrt[a - b*x^2]])/(2*b^(3/2))

Integrate[x^2/Sqrt[a - b*x^2], x] ==
-(x*Sqrt[a - b*x^2])/(2*b) + (a*ArcTan[(Sqrt[b]*x)/Sqrt[a - b*x^2]])/(2*b^(3/2)) 

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

                                 Sqrt[b] x
                      a ArcTan[--------------]
                2                          2
-(x Sqrt[a - b x ])            Sqrt[a - b x ]
------------------- + ------------------------
        2 b                       3/2
                               2 b
Time to compute: 0.07 second
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