How much fun can be had in one video? Lots!
This video takes a look at the ways you can use to find the area under a graph. Starting with the basic consideration of finding areas of triangles (for straight line graphs) it then moves on to look at how we might find areas under curves.
It starts by looking at splitting a curve into an equally spaced series of trapeziums before moving swiftly on to look at the left endpoint and right endpoint methods of finding the areas.
Examples are shown and a discussion is had, at the end of the video, about the indefinite integral.