# find volume using cylidrical shells

• February 12th 2009, 03:24 PM
limegreen1545
find volume using cylidrical shells
if someone could please explain how to do this problem, that would be great! thank you!

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis.
http://www.webassign.net/www28/symIm...be1f95ea8a.gif
• February 12th 2009, 03:39 PM
skeeter
$V = 2\pi \int_0^1 x(3e^x - 3e^{-x}) \, dx$

$V = 6\pi \int_0^1 x(e^x - e^{-x})\, dx$

use integration by parts or tabular integration ...

$u = x$ ... $dv = (e^x - e^{-x})dx$