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(x^5*(2 + 5*Log[x]*(-2 + 5*Log[x])))/125

Integrate[x^4*Log[x]^2, x] ==
(x^5*(2 + 5*Log[x]*(-2 + 5*Log[x])))/125 

           4       2
Integrate[x  Log[x] , x] == 

 5
x  (2 + 5 Log[x] (-2 + 5 Log[x]))
---------------------------------
               125
Time to compute: < 0.01 second
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