hmmm...I have been studying some of the internet sites on this subject and now I think I have confused myself even more...this is an independent study class and the textbook shows very few examples...
integral (y^2)/(y^3+5)^2 dy
u=y^3 +5
du = 3y^2
dx = y^2?
y/u integral du/3y^2 dx
y/3y^2 ln[u] +c
y/3y^2 ln [y^3+5] + C