The document discusses the definite integral and how to estimate distances traveled from a velocity-time graph. It includes a table of velocity values and asks the reader to (1) sketch the velocity-time graph, (2) estimate the lower and upper distances traveled in 5 seconds, (3) estimate the actual distance traveled, and (4) represent the lower estimate as a shaded region on the graph. The document also asks why we began by looking at the picture of rectangles.