Solving this integral using Gamma Function! [edited]

[ChileanBLU]

Hi I have a question, really need to know if you can help me i would be so gratefulk (sorry my english i am non native speaker)

I am asked to solve


?(x·l·g·x)^3 dx Using the gamma function ??

I tried to use the following variable change

(l·g) = t
therefore


t
e^3·l·g·x = e^t


and then x = e^(t/3)

and dx= (1/3) e ^(t/3) dt


obtaining (1/3) ? e^(4t/3) t dt

Is there right what i've done? if so,
Here i have a question, HOW TO SOLVE IT... was the sustitution i made in the begining right?
THANK YOU!!

 

[galactus]

l and g constants, I assume?. Is that the precise problem statement?. Are there limits of integration?. Perhaps 0 to infinity or something like that?.

If not, please post it exactly as it was presented. Easier to help that way.