Question

Given that (equation below) by setting up the Riemann sums and then taking the limit.

Answer 1

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

Answer 2

where are you stuck?

Answer 3

I don't get what the sigma notation part means. Other than that I can do intergration and Riemann sums fairly well.

Answer 4

the sigma notation is just shorthand for adding things

\[\sum_{i=1}^{n} i^3=1^3+2^3+\cdots +n^3\]

Answer 5

Then the equation after it?