# Integral rotation

1. Sep 11, 2012

### iRaid

1. The problem statement, all variables and given/known data
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

$$y=1+sec x$$ $$y=3$$ about $$y=1$$

2. Relevant equations

3. The attempt at a solution
I don't understand how to do this since y=3 crosses at infinite points. I know that is crosses at -∏/3 and ∏/3.

2. Sep 11, 2012

### Staff: Mentor

My guess is that the region to be rotated around the line y = 1 is just a single arch of the graph of y = 1 + sec(x), up to the line y = 3. The problem should have been more specific in describing the region, IMO.