(a) Use the definition given below with right endpoints to express the area under the curve y = x3 from 0 to 1 as a limit. The area A of the region S that is bounded above by the graph of a continuous function y = f(x), below by the x-axis, and on the sides by the lines x = a and x = b is the limit of the sum of the areas of approximationg rectangles. n - 0 n - oo A = lim R = lim [f ( x, ) Ax + f (x2 ) Ax + . .. + f(x )Ax] = lim > f(x, )Ax 1=1 lim (b) Use the following formula for the sum of cubes of the first n integers to evaluate the limit in part (a). 13 + 23 + 3 3 + .. . + n 3 = n ( n + 1) ] 2