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Math Help - integrate in terms of area

  1. #1
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    integrate in terms of area

    integrate from -2 to 2 sqrt(4-x^4) in terms of an area.

    i dont even know what it means to integrate in terms of an area, please help!
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  2. #2
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    Re: integrate in terms of area

    I think it means you need to use a Riemann Sum, since at face value I can't see a way to integrate this...
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    Re: integrate in terms of area

    how many rectangles should i do so i dont get negatives under the square root?
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    Re: integrate in terms of area

    Quote Originally Posted by pnfuller View Post
    integrate from -2 to 2 sqrt(4-x^4) in terms of an area.

    i dont even know what it means to integrate in terms of an area, please help!
    you sure the integrand isn't \color{red}\sqrt{4 - x^2} ? the function you posted is undefined at the limits of integration ... \sqrt{4 - 2^4} = \sqrt{-12} ... ???


    btw ... y = \sqrt{4-x^2} is a semicircle
    Last edited by skeeter; December 11th 2012 at 03:46 PM.
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