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(x + x^2*ArcCot[x] - ArcTan[x])/2


Integrate[x*ArcCot[x], x] ==
(x + x^2*ArcCot[x] - ArcTan[x])/2



Integrate[x ArcCot[x], x] == 

     2
x + x  ArcCot[x] - ArcTan[x]
----------------------------
             2

Time to compute: < 0.01 second

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