For each of the three applications below, calculate the specified integral using both the (1) Trapezoidal Rule and (2) Simpson's Rule. Show ALL work for full credit. 1. A graph of acceleration, a, in m/s', versus time, t, in seconds, for an object moving in a straight line is shown in the graph below. Using the graph to estimate the acceleration at t = 0, 1, 2, ..., 8 seconds, approximate the change in velocity from 0 to 8 seconds. (Change in velocity = So alt ) at 0.8 0.6 0.4 0.2 0 1 2 3 4 5 6 7 8