2. There are many applications where numerical integration is required in aerospace engineering. Examples include integrating a pressure distribution about an airfoil to find lift and drag, integrating a time-dependent drag profile on a rocket to determine time of flight and burnout altitude, and integrating a probability distribution function to find the average fuel drop diameter in an aircraft engine. In many instances, the function to be integrated may be a set of discrete data points rather than being analytical, but the technique is similar. Integrate the following function both analytically (you may want to use an online integral calculator) and numerically: 1()=lo in Use both the trapezoidal and Simpson's 1/3 rules to numerically integrate the function out to exactly seven decimal points. For both cases, start with n= 1. then double the number of segments until your last computation includes 512 segments. Compute the percent relative errors, out to exactly four decimal points, for the numerical results (as compared to the analytic answer). % Error = Numerical Answer - Analytic Answer Analytic Answer For each numerical method, provide a formatted table showing the value of the integration and its error for each value of n