Matched Problem 3 Find the area bounded by x) = x2 1, g(x) = -:';x3, x =1, andx = 2. Example 4 Area Between Two Curves Find the area bounded by_/(x) = 5 x2 and g(x) = 2 2x. Notes from PPT Matched Problem 4 Find the area bounded byx) = 6 x2 and g(x) = x. Matched Problem 5 Find the area bounded by_f(x) = 2x2 andg(x) = 4 2x for2 5x52. Matched Problem 8 The Lorenz curve for the distribution of income in a certain country in 2017 is given by_f(x) = x". Economists predict that the Lorenz curve in the year 2030 is given by g(x) = x3'8. Find the Gini index of income concentration for each curve, and interpret the results