3. Let f(x) = x2 and for each real number n 2 1, define the function In (20) = 1 _ _- ac| n (i) Find the area An bounded between f and gn. Your answer should depend on n. (ii) Find the area A bounded between f and the constant function c(x) = 1. (iii) Notice that as n becomes very large, An approaches A. Explain why this is true by referring to the relationship between In and c