Question: (a) Use Definition 2 to find an expression for the area under the curve y = x3 from 0 to 1 as a limit. (b)

(a) Use Definition 2 to find an expression for the area under the curve y = x3 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 E. Use it to evaluate the limit in part (a).

n(n + 1) 1' + 2 + 3 + . + n

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