http://youtu.be/9ViN3kh_8dY

In this video I go over another example on solving volumes using cylindrical shells. In this example I solve for the volume of the solid formed by rotating the region bounded by y = x - x<sup>2</sup> and y = 0 about the line x = 2.

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# Integrals and Volumes by Cylindrical Shells: Example 4

![Integrals Cylinderical Shells Example 4.jpeg](https://cdn.steemitimages.com/DQmPt6pjC5gKDhCnApdGjG8RxRiDhL7AStUnPvEu2xMmWa2/Integrals%20Cylinderical%20Shells%20Example%204.jpeg)

**Example:** 

Find the volume of the solid obtained by rotating the region bounded by y = x – x<sup>2</sup> and y = 0 about the line x = 2.

**Solution:**

![](https://cdn.steemitimages.com/DQmPzJLsywPDkxXSShkLEtCpNkk7QjYZ7JbYY2xsSEd7U5Y/image.png)