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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.
This video takes a look at the basics for integration (or antidifferentiation). It starts by looking considering differentiation and how we do it in reverse to integrate. It looks at a basic quadratic function and shows why we need to have the constant (c) added when integrating. It looks at how we use the indefinite integral and uses lots of examples to show how to do basic integration.
Having more fun than you can imagine?! Me too! This video looks at how we can use integration by substitution to take some of the more complex examples of integration and making them simpler. It looks at how the method of substitution is used and how this might be easier than remembering lots of formulae.
This video builds on the work we have been doing on anti-differentiation by looking specifically at the case of the exponential function with numerical powers. There are a number of examples given.
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These are the videos which are available in each chapter. You will notice that some are free and some are for subscribers only. Making and hosting these videos costs a little bit of money. To help pay for the hosting fees I have no choice but to hide some of the videos and make them for subscribers only.