Once again, I'm very new to Mathematica and winging it as I go. I probably don't have the math education at this point to even justify buying it in the first place, but that's off topic.
I wanted to model a simple curve by rotating it around the x axis, and then actually use it as a function and take its integral, etc.
To be more specific, all I want to do is rotate the area enclosed by
y == 10 - 6 x + x^2 and
y == x around the x axis to get a 3D model and calculate its volume. However I either can't find the related Help topic, or did find it but found that it so quickly jumped from the basic explanation to complicated examples that I couldn't understand it, something I'm finding more common. Does anyone have any advice?
Sorry if this question is too obvious or dumb.
EDIT: Oops, my mistake, the function I was trying to plot was
10 - 6 x + x^2 with a negative 6x. This way y=x intersects it and what's being plotted, assuming the bounds are 2 to 5, is just the area in between the curves. I haven't yet been able to figure out how to do this. Everything just seems to plot both functions on top of each other.