Niamh Ryan
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In this our final study note on our series on Differentiation and Integration, we look at definite integrals. Using graphs we demonstrate the key points that you need to understand to master the topic. Sample equation questions are then provided to allow you to check your learning progress.

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Niamh Ryan
Created by Niamh Ryan almost 8 years ago
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What is a definite integral?

So far we have just considered integration as the reverse of differentiation.

However, integration does have uses other than just reversing differentiation.

The integral of a function between two points represents the area enclosed by the x axis, the curve described by the function and the two chosen points.

For example, consider the function drawn below.

Integrating f(x) between a and b will give us the value of the shaded area.