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Math Help - Centroid of a Region

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    Centroid of a Region

    Consider the region bounded x=1, x=10, y=1/x, y=1/2x

    How do I find the centroid of this region?

    Area = integral from [1,10] of (1/x - 1/2x)dx

    x(bar) = 1/A integral from [1,10] (x(1/x-1/2x))dx?
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    Quote Originally Posted by khuezy View Post
    Consider the region bounded x=1, x=10, y=1/x, y=1/2x

    How do I find the centroid of this region?

    Area = integral from [1,10] of (1/x - 1/2x)dx

    x(bar) = 1/A integral from [1,10] (x(1/x-1/2x))dx?
    Yes.

    Do you know how to get y(bar)?
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