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- Using integration, locate the centroid of the area under the n-th 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.Using the method of composite areas, find the dimension h that maximizes the centroid coordinate y of the plane region shown.Use numerical integration to locate the centroid of the symmetric plane
- Use numerical integration to find the centroid of the volume generated by revolving the area shown about the x-axis.Use integration to locate the centroid of the shaded region in terms of R and t. (b) Show that when t0 the result of part (a) agrees with that given in Table 8.2 for a quarter circular arc.