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] \"ace name Use this definition to find an expression for the area under the graph of fas a limit. Do not evaluate the limit. r(x)='\")((),45xs 13 . n A = n'm. 2 i=1