Integral rotation

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  • #1
iRaid
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Homework Statement


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.

[tex]y=1+sec x[/tex] [tex]y=3[/tex] about [tex]y=1[/tex]

Homework Equations





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.
 

Answers and Replies

  • #2
36,334
8,293

Homework Statement


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.

[tex]y=1+sec x[/tex] [tex]y=3[/tex] about [tex]y=1[/tex]

Homework Equations





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.

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.
 

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