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Math Help - Area Between Two Curves

  1. #1
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    Area Between Two Curves

    Hi guys,

    I have a problem that I have failed solve and it involves finding the area of the region enclosed by the two curves: x^4 and 2x^2 + 1

    I do know that I need to integrate these two functions, however I am unable to find the bounds.

    I know that you must set them equal to each other, but I can't seem to find a value.

    Thanks in advance!

    -Christian
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  2. #2
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    May 2009
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    Are you sure those are the functions?
    It seems odd that you'd be given functions so messy.

    Anyways. You have;

    x^4-2x^2-1=0

    The use the quadratic formula of the form
    x^2=-b+-...etc... you know thw rest

    And you should end up with 4 solutions, however two of them are not real.
    Then you have:

    x=sqrt(1+sqrt(2)) and x=-sqrt(1+sqrt(2))
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  3. #3
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    May 2009
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    Ya, this professor likes to make your life hard!

    That makes sense...you should get two values, because they are both parabolas.

    Thanks a bunch for clearing this up!

    -Christian
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