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-(x*Sqrt[4 - x^2]*(-10 + x^2))/4 + 6*ArcSin[x/2]

Integrate[(4 - x^2)^(3/2), x] ==
-(x*Sqrt[4 - x^2]*(-10 + x^2))/4 + 6*ArcSin[x/2] 

                2 3/2
Integrate[(4 - x )   , x] == 

              2          2
-(x Sqrt[4 - x ] (-10 + x ))            x
---------------------------- + 6 ArcSin[-]
             4                          2
Time to compute: 0.03 second
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