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Calculus

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Find the centroid of the region bounded by the curve sin x on the interval (0, pi) and the x-axis.

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  • Calculus -

    Let C(x,y)-centroid. Obviously, x=pi/2
    The area of the region=2
    y=(1/2)(1/2)(integral from 0 to pi) sin^2(x)dx=pi/8

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