The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim Rn = lim [f(x,)Ax + f(x2)Ax + . . . + f(x,)Ax] n- co n - co Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = In(x) 6 < xs 11 n A = lim n - c0 i = 1

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