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Math Help - Area between two curves

  1. #1
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    Area between two curves

    Find the area of the region bounded by the graph of x=1-y^(2) and x=y^(2)-1.
    Thanks for the help.
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    Quote Originally Posted by nystudent2729 View Post
    Find the area of the region bounded by the graph of x=1-y^(2) and x=y^(2)-1.
    Thanks for the help.
    step 1, find the points of intersection
    step 2, integrate the 2 curves over the two points of intersection
    step 3, subtract the area of the curve on bottom from the area on top

    let me know if you need more help than that. I know its not as easy as 1,2,3 lol.
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  3. #3
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    Quote Originally Posted by nystudent2729 View Post
    Find the area of the region bounded by the graph of x=1-y^(2) and x=y^(2)-1.
    Thanks for the help.
    the graphs are symmetrical to the y-axis, intersecting the y-axis at y = 1 and y = -1 ...

    A = 2\int_{-1}^1 1 - y^2 \, dy
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