1. The Trapezoidal Rule Evaluating definite integrals by counting squares can be a rather tedious and inexact process. There is a more exact way to estimate the value, using the area of trapezoids. We will use the trapezoidal rule to evaluate the definite integral of with respect to x , from x = 0 to x = 6

2. x y 0 1 2 3 4 5 6 To find the area of the trapezoids, we need to find the lengths of their bases. We can make a chart: Trapezoid 1: Trapezoid 2: Trapezoid 3: Trapezoid 4: Trapezoid 5: Trapezoid 6: