Riemann sum?

Question

given f(x)=X^3 for X inside [0, 5]

Riemann Sum Rn=summation of f(Xi)deltaXi

is my f(Xi) = (5i/n)^3??

Answer 1

Yes, if you're using intervals of equal size then X_i is 5i/n, so f(X_i) = (5i/n)^3. Delta X_i is 5/n.

Answer 2

For a left-sum from i = 0 to i = (n - 1), yes.
For a right-sum use (i + 1) for i