Here is what I have so far:

I am stuck after this though...

- Sep 7th 2008, 07:54 PMredman223[SOLVED] Integration by parts with a polynomial fraction inside?
Here is what I have so far:

I am stuck after this though... - Sep 7th 2008, 08:04 PM11rdc11
long division of the polynomial

- Sep 7th 2008, 08:12 PMredman223
How would this divide out? We have not really covered long division inside an integral in class yet. I know it splits into two integrals though right?

- Sep 7th 2008, 08:21 PM11rdc11

I would like to show you how to do the long divison but not sure how to display it on latex. - Sep 7th 2008, 08:46 PMShyam
- Sep 8th 2008, 12:26 AMchoovuck
there is a mistake in the first line written by redman: the numerator of the last integral should be , not

then and so on... - Sep 8th 2008, 12:39 AM11rdc11
You could also use partial fractions or trig substitution, whatever you feel more comfortable with.

- Jan 10th 2010, 03:15 PMJhevon
actually, i'd approach it this way

Now in light of the fact that we know (we can get this via integration by parts, but you really should know this by heart), each of those two integrals are really easy with a simple linear substitution

Haha, I just realized the date on this thing. really late, but it might help someone anyway....