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(2*x^5)/125 - (2*x^5*Log[2*x])/25 + (x^5*Log[2*x]^2)/5


Integrate[x^4*Log[2*x]^2, x] ==
(2*x^5)/125 - (2*x^5*Log[2*x])/25 + (x^5*Log[2*x]^2)/5



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

   5      5             5         2
2 x    2 x  Log[2 x]   x  Log[2 x]
---- - ------------- + ------------
125         25              5

Time to compute: < 0.01 second

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