Determine the centroid (x, y) of the shaded area analytically (by integration).

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Determine the centroid (x, y) of the shaded area analytically (by integration). Approximate the shaded area using a series of rectangles, each of width a land of the form bcc0b0, and then use computational software to calculate the coordinates (x, y) of the centroid of the shaded area. Locate the centroid when(i) m = 2, a = 4 in., h = 4 in.; (ii) m = 2, a = 4 in., h = 25 in.; (iii) m = 5, a = 4in., h = 4 in.; (iv) m = 5, a = 4 in., h = 25 in. In each case, compare the answers obtained tithe exact values of x and y (from analytical solution, in Part (a)) and determine the percentage error.

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