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Math Help - find area bounded by graph

  1. #1
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    find area bounded by graph

    x=y2 + 4y and x=0

    someone help plz
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  2. #2
    Senior Member mollymcf2009's Avatar
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    Quote Originally Posted by emory View Post
    x=y2 + 4y and x=0

    someone help plz
    This is a graph of a parabola turned on its right side. It intersects the y axis at y=0 & y=-4 (find this by solving for y in: y^2+4y = 0)

    The area you are concerned with is the area of the parabola "cut off" by the y-axis (aka x=0).

    Since you are dealing with functions in terms of y, your integral will be:

    \int_{c}^{d} (h(y) - k(y)) dy

    Where c & d are your limits of integration (on the y axis), h(y) is the "most positive" function and k(y) is the less positive function. By "positive" I mean the function that is furthest to the the right side of the graph

    Can you try it from here?
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