Question

sum_{i=1}^{n} i^3 = ((n(n+1))/2)^2, computer int_{0}^{1} (x^3 + 1)dx by setting up the Riemann sums and then taking the limit.

Answer 1

\[\sum_{i=1}^{n} i^3 = ((n(n+1))/2)^2, compute \int\limits\limits_{0}^{1} (x^3 + 1)dx\]