Hey everyone, I have a couple of questions on integration:
1. $\displaystyle \int x(lnx)^4dx$
2. $\displaystyle \int arctan(7z)dz$
Thanks for any help you can give me.
Peter
For the first one, use integration by parts,
$\displaystyle u = (lnx)^4$
$\displaystyle dv = x$
For the second one, I think a substitution is required... *checking*
EDIT: Yes take $\displaystyle atan(7z) = u$
Then,
$\displaystyle 7z = tan u$
$\displaystyle 7dz = sec^2u\ du$