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Math Help - area between 2 curves

  1. #1
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    area between 2 curves

    (1 pt) Find the area between the curves:
    y1 = x^3 - 11 x^2 + 28 x
    and
    y2 = -x^3 + 11 x^2 - 28 x

    so x = 0, 4, 7

    y1 is the larger function i think but im not sure how to do the the integral when i have 3 points
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  2. #2
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    Quote Originally Posted by dat1611 View Post
    (1 pt) Find the area between the curves:
    y1 = x^3 - 11 x^2 + 28 x
    and
    y2 = -x^3 + 11 x^2 - 28 x

    so x = 0, 4, 7

    y1 is the larger function i think but im not sure how to do the the integral when i have 3 points
    sketch or draw the graph on your calculator ...

    y1 > y2 on (0,4)

    y2 > y1 0n (4,7)

    set up the two integrals to find the area.
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  3. #3
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    so its

    |4
    | y1-y2
    |0
    +
    |7
    | y2-y1
    |4
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  4. #4
    Senior Member DeMath's Avatar
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    (1 pt) Find the area between the curves:
    y1 = x^3 - 11 x^2 + 28 x
    and
    y2 = -x^3 + 11 x^2 - 28 x

    so x = 0, 4, 7

    y1 is the larger function i think but im not sure how to do the the integral when i have 3 points
    See this picture

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