(a) Use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit. n lim n→∞ Σ (?) 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

(a) Use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit. n lim n→∞ Σ (?) 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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.2: The Law Of Cosines

Problem 40E

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