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Math Help - finding the area

  1. #1
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    finding the area

    I am not sure what to do here for this problem.

    Sketch the region enclosed by x+ y^2= 42 and x+y = 0. Decide whether to integrate with respect to x or y. Then find the area of the region.

    Any help would be great
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  2. #2
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by mbrez88 View Post
    I am not sure what to do here for this problem.

    Sketch the region enclosed by x+ y^2= 42 and x+y = 0. Decide whether to integrate with respect to x or y. Then find the area of the region.

    Any help would be great
    First thing I would do is look at the graph and notice that it will be easier to do horizontal slicing.

    Next find your points of intersection

    42-y^2 = -y

    after set up your integral with your points of intersection

    \int (42 -y^2 + y)dy
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