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). 13+23+33 + ... + n == n(n + 1) 2 2

13+23+33 + ... + n == n(n + 1) 2 2

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