1. ## Improper Integrals

$\int\limits^{2}_{0} 8z^2 ln(z) dz$

I used integration by parts. Is that what I need to do to start this? Don't want the answer, just want to verify if my technique is correct.

Thanks!!

2. Originally Posted by mollymcf2009
$\int\limits^{2}_{0} 8z^2 ln(z) dz$

I used integration by parts. Is that what I need to do to start this? Don't want the answer, just want to verify if my technique is correct.

Thanks!!
I would try parts ...

$u = \ln{z}$

$dv = z^2 \, dz$