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(Sqrt[(-a^2 + x^2)^3]*(x*Sqrt[-a^2 + x^2]*(-5*a^2 + 2*x^2) + 3*a^4*Log[2*(x + Sqrt[-a^2 + x^2])]))/(8*(-a^2 + x^2)^(3/2))


Integrate[Sqrt[(-a^2 + x^2)^3], x] ==
(Sqrt[(-a^2 + x^2)^3]*(x*Sqrt[-a^2 + x^2]* (-5*a^2 + 2*x^2) + 3*a^4*Log[2*(x + Sqrt[-a^2 + x^2])]))/ (8*(-a^2 + x^2)^(3/2))



                  2    2 3
Integrate[Sqrt[(-a  + x ) ], x] == 

         2    2 3            2    2       2      2
(Sqrt[(-a  + x ) ] (x Sqrt[-a  + x ] (-5 a  + 2 x ) + 
 
         4                   2    2
      3 a  Log[2 (x + Sqrt[-a  + x ])])) / 
 
        2    2 3/2
  (8 (-a  + x )   )

Time to compute: 0.11 second

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