Math Help - integration

{ = integral..

I have to integrate the following question.

{2x ln x dx

I think the answer in x^2 ln x - 1/2x^2 +c..

Can anyone cnfirm this for me please.. Many thanks in advance

Looks good.
I got the same answer using integration by parts technique.

Let u= 2x, dv= ln(x)dx.