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13 Nov 2019
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 approrimating rectangles: 2. Use the definition of area given above to find an expression for the area under the graph of f 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 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 + 23 +3°+ + n3 =[n(n + 1)
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 approrimating rectangles: 2. Use the definition of area given above to find an expression for the area under the graph of f 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 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 + 23 +3°+ + n3 =[n(n + 1)
Nelly StrackeLv2
13 Jul 2019