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-((a*Sqrt[1 - 1/(a^2*x^2)]*x + ArcCsc[a*x])/x)


Integrate[ArcCsc[a*x]/x^2, x] ==
-((a*Sqrt[1 - 1/(a^2*x^2)]*x + ArcCsc[a*x])/x)



          ArcCsc[a x]
Integrate[-----------, x] == 
               2
              x

               1
  a Sqrt[1 - -----] x + ArcCsc[a x]
              2  2
             a  x
-(---------------------------------)
                  x

Time to compute: 0.05 second

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