Please answer it full if possible, I will thumbs up.
Use the following definition for area to answer Problems 2 and 3: Definition: The area A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approzimating rectangles as a limit. Do not evaluate the limit. 3. (a) Use the definition of area given above to find an expression for the area under the curve y-3 from 0 to 1 as a limit. (b) The following formula for the sum of the cubes of the first n integers is proved in Appendix F of your textbook. Use it to evaluate the limit in part (a). 13+2+3 + 2 + 1 03 2