Integrals and Volumes: Example 4 Walled Cylinder Volume

in mathematics •  20 days ago  (edited)

In this video I go over another example on finding the volume of a shape using integrals. This example involves finding the volume formed by rotating the region between the functions y = x and y = x2 about the x-axis. The volume formed by rotating this region is a walled cylinder with a varying wall thickness.


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Integrals and Volumes: Example 4 Walled Cylinder Volume

Integrals and Volumes Example 4.jpeg

Example:

The region R enclosed by the curves y = x and x2 is rotated about the x-axis. Find the volume of the resulting solid.

Solution:

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very helpful and useful sharing. good work ;)

Nice... remember my University times :)

Good friends

which book for analysis do You use?

I mainly follow my calculus book which can download here:

Math education solution easy to study