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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: 0.15 second

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