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(x₁)Ax + f(x₂)Ax + . . . + f(x„)Ax] n → [infinity] n → [infinity] Use this definition with right endpoints to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. In(x) f(x) 7 ≤ x ≤ 15 X n A lim n→ [infinity] i = 1 = =