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

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

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

             1      ArcSec[a x]
a Sqrt[1 - -----] - -----------
            2  2         x
           a  x
Time to compute: 0.05 second
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