I'm back, how do I integrate (x^2+2)^2? I need to integrate this to find the volume of a solid. Cheers

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- Jan 23rd 2009, 12:33 AMslaypullingcatsimple integration problem#2
I'm back, how do I integrate (x^2+2)^2? I need to integrate this to find the volume of a solid. Cheers

- Jan 23rd 2009, 12:54 AMMoo
- Jan 23rd 2009, 01:11 AMslaypullingcat
thanks very much. Out of curiosity, is that the normal method of solving a question like that? Expand it then integrate as usual? What happens with higher powers? Is there a rule I should know about?

- Jan 23rd 2009, 01:23 AMMoo
Well, with higher powers you can use the binomial theorem, but it's likely not to give you a nice form.

Otherwise, see if you can have something in the form $\displaystyle u'(x) [u(x)]^n$ which has the following antiderivative : $\displaystyle \frac{[u(x)]^{n+1}}{n+1}+C$ - Jan 23rd 2009, 01:38 AMmr fantastic
- Jan 23rd 2009, 02:17 AMslaypullingcat
Thanks a lot for your help. I appreciate you taking the time. Cheers