Trapezoidal Rule

The Trapezoidal Rule is a method for estimating the area under a curve, which can represent things like distance traveled or total accumulated quantity. It works by dividing the area into a series of trapezoids rather than complex shapes. For each trapezoid, it calculates the area using the top and bottom values (like height and width) and sums these areas to get an overall estimate. This approach is straightforward and provides a good approximation when the curve is smooth, with increasing accuracy as more trapezoids are used.