I'm doing some work - yes, on Thanksgiving
- and I've been doing good, but the paper reversed things on me! lol... I have to BUILD an integral, not solve it! Anywho, please check my work!
The problem(s) state(s):
Set up, but do not evaluate, for the volume of the solid obtained by rotating the region bounded by the given curves around the specified axis.
1)
,
,
,
; about the y-axis
2)
,
,
; about
Okay, so for the first problem:
Looking at the graph and rotating it, I get a nice little donut. Since I need my approximating squares to touch BOTH functions, I have to use the Shell Method......right?
So, I would take my
and my
, giving me:
Right?