Mathematics, 15.07.2019 17:20 skylarladson2549

(a) use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit. lim n→∞ n i = 1 (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 + + n3 = n(n + 1) 2 2

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(a) use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a li...