Find the centroid of the region bounded below by the x axis and above by the curve y 1 x n , n an even positive integer What is the limiting position of the centroid as n

Question: Find the centroid of the region bounded below by the x-axis and above by the curve y = 1 - x n , n an

Find the centroid of the region bounded below by the x-axis and above by the curve y = 1 - xⁿ, n an even positive integer. What is the limiting position of the centroid as n→ ∞?

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