The first one is:

$\displaystyle \int x^5 ln(1+x^3) dx $

The second is:

$\displaystyle \int_0^1 \frac {1}{(16+x^2)^2}dx $

For both problems I used parts but the problems got quite ugly so I stopped. I was wondering if there are any rules or methods I am missing that would make these problems easier