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x*ArcSech[x] - (2*Sqrt[(1 - x)/(1 + x)]*Sqrt[1 - x^2]*ArcSin[Sqrt[1 + x]/Sqrt[2]])/(-1 + x)


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



Integrate[ArcSech[x], x] == 

x ArcSech[x] - 
 
          1 - x            2         Sqrt[1 + x]
   2 Sqrt[-----] Sqrt[1 - x ] ArcSin[-----------]
          1 + x                        Sqrt[2]
   ----------------------------------------------
                       -1 + x

Time to compute: 0.10 second

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