Numerical integration

This article continues from a previous article. In this article we shall look at numerical integration. It will be useful to remember the trapezium rule for this article.
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Given the following;
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We can evaluate the integral as;
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We can also use the trapezium rule to estimate the integral. We shall use two strips. It is always useful to start by drawing a table;
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…therefore using the rule above we get;
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Above we have use two methods to evaluate the integral. Note there is a small difference in the results. We’re now going to find the percentage error in the two result estimates. If we decide to use the first result;
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The percentage error in using the second result is;
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The last result is much more accurate since it has a less percentage error.