I'm fairly okay with volumes of revolutions in general but what if I have to rotate it about 2 curves?
The question here asks:
"The region bounded by the given curves is rotated about a specific axis. Set up, but do not evaluate, an integral which gives the volume of the resulting solid by any method."
$y=4x-x^2$,$y=8x-2x^2$ about $x=-2$ and then about $y=-5$
If this asked me how to rotate about the line $x=-2$, that would be fine. How about if I am asked to rotate the curve about $x=-2$ and then $y=-5$? How would I go about doing that?