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).
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?
Hello, kashmoneyrecord3!
I don't understand your game plan,
but "just sub in 3" sounds like a bad idea . . .
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.
. .
Did you make a sketch?
Code:| | : ..*.. | :.*:::::::*. 3+ *- - - - - -* | *: :* | : : |* : : * | : : | : : ----*--+-----------+--*---- | 1 3 4 |
Formula: .
We have: .
Hence: .