https://youtu.be/Ps1IPP4O_Lo

In this video I go over an example on solving for the average value of a function and solve the average value of the function y = 1 + x<sup>2</sup> from x = - 1 and x = 2.

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#  Integrals and Average Value: Example 1

![Integrals and Average Value Example 1.jpeg](https://cdn.steemitimages.com/DQmb9QuqymZ4WUSxmWEdkmpTqDnykEXFGcYMJMkZJLF7qdH/Integrals%20and%20Average%20Value%20Example%201.jpeg)

**Example:** 

Find the average value of the function f(x) = 1 + x<sup>2</sup> on the interval [-1, 2].

**Solution:**

![](https://cdn.steemitimages.com/DQmeFYYcfJv1SuXux29MTmYLUfbqoMnCFABd7zyoPzSeLo4/image.png)