(a) Use Definition 2 to find an expression for the area under the curve y = x' 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 B. Use it to evalu- ate the limit in part (a). п(л + 1) 13 + 23 + 3' + ·.. + n :

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