Okay, so I got du = 1/xdx, and v = x^3/3
Then, I did: lnx * x^3/3 - [integral]x^3/3 * 1/xdx
then: lnx * 1/3*x^3 - 1/3[integral]x^3/xdx
which simplifies to: lnx * 1/3 * x^3 - 1/3[integral]x^2dx
which is: lnx * 1/3 * x^3 - 1/3[integral]x^3/3 + C
final answer: ln(x) * 1/3 * x^3 - 1/9...