In this exercise we want to approximate a definite integral through numerical integration. To illustrate this, let's focus on the integral 2 1 dx (1.1) 1x Our aim is to approximate this integral by computing the left and right endpoint approximations, denoted as Ln and Rn, respectively. Numerical integration becomes imperative when an integral cannot be solved algebraically or when the function is only given via data points. The integral in this example, however, can be solved algebraically using the Fundamental Theorem of Calculus (see Chapter 5.3)