Verified answer

u=ln(x), du=1/x dx

ʃ 1/x ln(x)^4 dx

ʃ u^4 du

1/5 u^5 + C

1/5 ln(x)^5 + C

You have made a mistake. instead let u=Inx, so that du=1/x dx

No integral sign on my keyboard,

Replace 1/x dx with du then the expression becomes

integral of u^4 du

= 1/5 u^5 + C

since u = Inx

= (1/5)(Inx)^5 + C

http://www.wolframalpha.com/input/?i=%CA%83+1%2Fx%...

Or

http://www.wolframalpha.com/input/?i=%CA%83+1%2F%2...