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Integral, an algebra problem actually

  1. Jul 22, 2005 #1
    This one has me baffled.

    [tex]\frac{4}{3}\int_{0}^{1} x^8 \sqrt{1 + 4x^2 + 4x^4}dx[/tex]

    Any ideas would be great, I am thinking maybe a trig substitution, but I have yet to figure out how to simplify this thing first. Thanks.
     
  2. jcsd
  3. Jul 22, 2005 #2

    George Jones

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    Staff Emeritus
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    The stuff under the square root forms a perfect square.

    Regards,
    George
     
  4. Jul 22, 2005 #3
    Pff, duhhh! [tex] (x^2 + \frac{1}{2})^2 [/tex]

    Thanks!
     
  5. Jul 23, 2005 #4
    i did this type of problem before but a multiple choice questions, and there is no matched answer.

    later i discovered they used the negative solution, since square root gives positive and negative. so be careful.
     
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