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Integrate[x^2/Sqrt[25 - 4*x^2], x] ==
-(x*Sqrt[25 - 4*x^2])/8 + (25*ArcSin[(2*x)/5])/16

                 2
                x
Integrate[---------------, x] == 
                       2
          Sqrt[25 - 4 x ]

                                 2 x
                 2     25 ArcSin[---]
-(x Sqrt[25 - 4 x ])              5
-------------------- + --------------
         8                   16