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(x^2*(-1 + 2*Log[x]))/4


Integrate[x*Log[x], x] ==
(x^2*(-1 + 2*Log[x]))/4



Integrate[x Log[x], x] == 

 2
x  (-1 + 2 Log[x])
------------------
        4

Time to compute: < 0.01 second

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