9. /1 points SCalc8 4.1.502.XP 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 Use this definition to find an expression for the area under the graph of fas a limit. Do not evaluate the limit. A= lim 10. -/2 points SCalc8 4.1.026 (a) Use the definition to find an expression for the area under the curve yx3 from 0 to 1 as a limit. lim (b) The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit in part (a)