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

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- Sep 18th 2010, 08:46 AMflybynightSome Integration Problems
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 - Sep 18th 2010, 08:57 AMUnknown008
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,

$\displaystyle 7z = tan u$

$\displaystyle 7dz = sec^2u\ du$