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

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

Integrate[x ArcSech[x], x] == 

       1 - x              2
-(Sqrt[-----] (1 + x)) + x  ArcSech[x]
       1 + x
--------------------------------------
                  2
Time to compute: 0.05 second
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