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

Question

It can be shown that ∑ⁿ_i=1 i³=(n² (n+1)²)/4. Use this fact along with the limit of Riemann sums (∑ⁿ_i=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.

Answer 1