Evaluate a Definite Integral (a Line) Using Right Riemann Sums and Limits

This example introduces the method of using right Riemann Sums and limits to evaluate a simple integral of 2x+1 from 2 to 5. There are several replacements to make in this kind of exercise. Delta x is replaced with (b-a)/n, x* is replaced with a+k delta x, etc. Additionally, we use formulas for the finite sum of k.

The good news is that there are much easier ways to evaluate the integral, but we first learn the limit method to understand what the integral really means.