Evaluate a definite integral using limit of a Riemann Sum as n goes to infinity.

Question: It can be shown that ∑_(i=1)^n i^3 =(n^2 (n+1)^2)/4. Use this fact along with the limit of Riemann sums (∑_(i=1)^n f(xi
It can be shown that ∑ni=1 i3=(n2 (n+1)2)/4. Use this fact along with the limit of Riemann sums (∑ni=1 f(xi* )∆xi ) using a regular partition of the interval [0,b] (b›0) and the right endpoints of the subintervals to find ∫b0 x3 dx . Show the detail of your work.

------------------------

Answered By:

Doug C.
Math Tutor with Reputation to make difficult concepts understandable

------------------------

------------------------

About: Wyzant Ask an Expert offers free answers to your toughest academic and professional questions from over 65,000 verified experts. It’s trusted by millions of students each month with the majority of questions receiving an answer within 1 hour of being asked. If you ever need more than just an answer, Wyzant also offers personalized 1-on-1 sessions with experts that will work with you to help you understand whatever you’re trying to learn.