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Math Help - coordinates of centroid

  1. #1
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    Question coordinates of centroid

    Let R be the region in the plane bounded by the y-axis , y=x, and y= 2/(x^2 + 1)

    determine the coorrdinates of the centroid of R ??

    i did draw the graph but (dont know how to post it )

    pls tell me if im doing it right i so confused

    first i set both equations equal to each other and got : x^3+x-2=0 ; solve it and got x=1

    i found these formulas in the text book and want to set them up

    Mx= 1/2 integral [a-b] g^2(x) - f^2(x) dx

    My = integral [a-b] x(g(x)-f(x)) dx

    M=integral [a-b] g(x)-f(x)

    then set X=My/M and Y=Mx/M

    is it right to use these in this problem ??
    what should the integral limits[a-b] be ?? should it be [0-1]??/
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