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x*ArcCot[a*x] + Log[1 + a^2*x^2]/(2*a)


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



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

                         2  2
                Log[1 + a  x ]
x ArcCot[a x] + --------------
                     2 a

Time to compute: < 0.01 second

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