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A) use definition 2 to find an expression for the area under the curve y=x^3 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. useit to evaluate the limit in part (a).1^3 + 2^3 +3^3+ = [n(n+1)/2]^2definition 2: 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 approximating.
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A) use definition 2 to find an expression for the area under the curve y=x^3 from 0 to 1 as a limit....
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