The area under a graph
Integration
Mathematical Methods: Units 3 and 4
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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.
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area under the curve maths methods area under the curve integration area under the curve using rectangles maths methods unit 3 and 4 left endpoint approximation right endpoint approximation trapezium rule integration how do I find the area under a curve what is the indefinite integral definite integral definite integral area under curve calculus