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]^2