© Philip Joyce 2019
P. JoyceNumerical Chttps://doi.org/10.1007/978-1-4842-5064-8_3

3. Numerical Integration

Philip Joyce1 
(1)
Goostrey, UK
 
In calculus if we want to find the area under a curve, there is often a simple technique of calculus for us to use. Consider the curve in Figure 3-1. This is the curve of y = 2x – x2.
../images/480762_1_En_3_Chapter/480762_1_En_3_Fig1_HTML.png
Figure 3-1

Finding the area between a curve and x-axis

The technique involves adding one to the power and bringing the power down to divide.

This is specified by
$$ \underset{0.4}{\overset{1.6}{\int }}2x-{x}^2\kern0.125em dx $$
In this case we have chosen to find the area between 0.4 and 1.6 on the x-axis. ...

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