# Math Help - simple integration problem#2

1. ## simple 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

2. Hello,
Originally Posted by slaypullingcat
I'm back, how do I integrate (x^2+2)^2? I need to integrate this to find the volume of a solid. Cheers
$(x^2+2)^2=x^4+4x^2+4$

I'm sure you can handle it from here

3. 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?

4. Originally Posted by slaypullingcat
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?
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 $u'(x) [u(x)]^n$ which has the following antiderivative : $\frac{[u(x)]^{n+1}}{n+1}+C$

5. Originally Posted by slaypullingcat
I'm back, how do I integrate (x^2+2)^2? I need to integrate this to find the volume of a solid.
It probably would be better if you posted the whole question and then showed your working up to this stage (just in case this is the wrong integral).

6. Thanks a lot for your help. I appreciate you taking the time. Cheers