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Math Help - Area Between the Curve...

  1. #1
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    Area Between the Curve...

    This is probably simple for you guys, but ive been having problems with this one...

    Y=abs(x) and y=x^2-2

    I can integrate it once i have it set up but im having trouble remembering how to find the limits of integration and set up the basic problem. Can anyone help?
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  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    Quote Originally Posted by Foreman. View Post
    This is probably simple for you guys, but ive been having problems with this one...

    Y=abs(x) and y=x^2-2

    I can integrate it once i have it set up but im having trouble remembering how to find the limits of integration and set up the basic problem. Can anyone help?
    See the graph.

    Area Between the Curve...-capture.jpg

    So the area is

    2\int_{0}^{2}x-(x^2-2)dx
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  3. #3
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    Okay I understand most of it now.

    Just one thing, why do we multiply the entire equation by 2?
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  4. #4
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by Foreman. View Post
    Okay I understand most of it now.

    Just one thing, why do we multiply the entire equation by 2?
    TheEmptySet integrated between 0 and 2. However, there is also a part from -2 to 0. Since this is a reflection of the positive part then it will have the same area so the total area is twice the integral
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