Riemann-Integrable Function
A function is Riemann integrable when its generalized Riemann sums have the same limit as all rectangle widths tend to zero.
Definition 2.2 (Riemann Integrable)
Following Definition 2.1, a function is Riemann integrable if the generalized Riemann sum does not depend on exactly how we choose the rectangles in the limit that all .
[This includes the cases where is non-uniform, or we cannot evaluate on the LHS, etc.]
Related
Stated in
- Definition 2.2 (Riemann Integrable)§2.1 Integrals as Riemann Sums