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Math Help - simple integration problem#2

  1. #1
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    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
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    Moo
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    Hello,
    Quote Originally Posted by slaypullingcat View Post
    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
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    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?
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    Moo
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    Quote Originally Posted by slaypullingcat View Post
    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
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    Quote Originally Posted by slaypullingcat View Post
    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).
    Last edited by mr fantastic; January 23rd 2009 at 01:56 AM. Reason: Moved from a double post. Kept the first bit. Deleted the bit already given by moo.
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    Thanks a lot for your help. I appreciate you taking the time. Cheers
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