Hi guys,

Integrate:

t^4*ln(4t)dt on the interval [2,7]

I'm using substitution by parts so,

u = t^4

u' = 4t^3

v = tln(4t) - t (i think so?!)

v' = ln(4t)

∫t^4*ln(4t)dt = t^4(tln(4t) - t) - ∫(tln(4t) - t)4t^3

and I don't know how to integrate the second term....Am I doing this right?

Thank you!