Applications of Intergration

Hey guys I have a quick question.

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. Sketch the region and a typical shell.

y=4x-x^2 , y=3 about x=1

For this question would i just sub in 3 into the y and just solve and find the interval. Then do the integration of 2pie x (4x-x^2) between the two intervals?

Re: Applications of Intergration

Your shells will extend from y = 0 , to y = 4x-x^2 . They will be too high.

The integrand should be f(x) - g(x).

You just have f(x).

Re: Applications of Intergration

that's all they gave me though, so how do i continue?

Re: Applications of Intergration

Re: Applications of Intergration

how did you get the intervals?

Re: Applications of Intergration

Quote:

Originally Posted by

**kashmoneyrecord3** how did you get the intervals?

Just the way you said in the Original Post, "just sub in 3 into the y".

Solve 3 = 4x-x^2 , for x. That should give x = 1, x = 3