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(a) Using integration, locate the centroid of the area under the nth order parabola in terms of b, h, and n (n is a positive integer)

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(a) Using integration, locate the centroid of the area under the nth order parabola in terms of b, h, and n (n is a positive integer). (b) Check the result of part (a) with Table 8.1 for the case n = 2.