Question

using cylindrical shell method, find the volume generated by rotating the region bounded by \( y = x^4\), \(y=0\), and \(x=1\) about the line x = 2

the radius for this is x - 2 correct?

Answer 1

this is the equation i used

\[2\pi \int_0^1 (x-2)(1 - x^4) dx\]

is that right??

Answer 2

the radius should be 2-x

Answer 3

WHAATT?!! phooey =_=

Answer 4

lemme make sure...

Answer 5

please do

Answer 6

is that the region/picture?