5. Use integration by parts to evaluate the following integral: ∫[3x² ln(x³)] dx .
Identify the values needed for u, du, dv, and v as well as the final value for the integral.
All work must be shown.(20 Points)
U = ____________________
du = ____________________
dv = ____________________
v = ____________________
∫[3x² ln(x³)] dx = _______________________________