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(-a^2 + x^2)^(3/2)/(3*a^2*x^3)

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

                 2    2
          Sqrt[-a  + x ]
Integrate[--------------, x] == 
                 4
                x

   2    2 3/2
(-a  + x )
-------------
      2  3
   3 a  x
Time to compute: 0.02 second
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