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x*ArcCot[x] + Log[1 + x^2]/2

Integrate[ArcCot[x], x] ==
x*ArcCot[x] + Log[1 + x^2]/2 

Integrate[ArcCot[x], x] == 

                       2
              Log[1 + x ]
x ArcCot[x] + -----------
                   2
Time to compute: < 0.01 second
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