This problem is concerned with finding the centroid

) of the planar region in the first quadrant bounded by the curves

This problem la concerned with nding the centroid [p = l] of the planar region In the rat quadrant bounded by the curves )5 = x3 and y = {I}. We solve this preblen'l by finding the mass m, and the moments Mr and My . Then we obtain 31 (A) The fun'nula fur the maaa can be wrttlen as / H(J:) d: where B a = b = Ht) = Evaluating the Integral we find in = b (B)Theforrnulatoer can bewritten aa/ K(x)dxwhere K(x) = Evaluating the Integral we find M: = b (C) The fun'nula for M). can be written as/ L(x)dx where r