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(x^5*(-1 + 5*Log[a*x]))/25

Integrate[x^4*Log[a*x], x] ==
(x^5*(-1 + 5*Log[a*x]))/25 

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

 5
x  (-1 + 5 Log[a x])
--------------------
         25
Time to compute: < 0.01 second
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