estimate error of partial sum, terms too complex to integrate

Hi all,

The problem is to calculate this sum to 10 terms and estimate the error:

I summed the first 10 terms, no problem.

If I understand correctly, the error is less than

but I can't figure out how to integrate that. I have the feeling that I can just use

to approximate my error, but it seems like I need to say more to justify this.. Or maybe I'm just missing the integration technique for the more complex form.

Thanks again for any help!

Brian