Question

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.

Answer 1

\[y= 1+\sec(x) , y=3\] about y=1

Answer 2

this is what i did

Answer 3

so then i set up my equation like this

\[a= \pi \int\limits_{-\pi/3}^{\pi/3} (3-1)^2 - ( 1 - \sec(x))^2\]

Answer 4

@Loser66 @zepdrix

Answer 5

\[a= \pi \int\limits_{-\pi/3}^{\pi/3} (3-1)^2-(1-1+\sec(x))^2\]

Answer 6

sorry this the equation that i think it is ^

Answer 7

How can you get the limits from -pi/3 to pi/3?

Answer 8

hmm becuse its goin from -pi/ to pi/3 ?

Answer 9

since it looks like this