# Math Help - find volume using cylidrical shells

1. ## 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.

2. $V = 2\pi \int_0^1 x(3e^x - 3e^{-x}) \, dx$

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

use integration by parts or tabular integration ...

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