- #1
Saladsamurai
- 3,020
- 7
I need to find the volume of the solid generated by rotating the region bounded by [tex]y=x^2[/tex] [tex]y=2-x[/tex] and the y-axis around the y-axis by shells.
Does this sound correct? When I "open" a small shell up to reveal a small rectangle, the rectangle's height[tex]=dx[/tex], length[tex]=2\pi(x)[/tex] and width[tex]=y[/tex]
So I will integrate wrt x and break the integral into two parts at x=1?
I am learning this from the text after missing a class, so any insight is appreciated,
Casey
Does this sound correct? When I "open" a small shell up to reveal a small rectangle, the rectangle's height[tex]=dx[/tex], length[tex]=2\pi(x)[/tex] and width[tex]=y[/tex]
So I will integrate wrt x and break the integral into two parts at x=1?
I am learning this from the text after missing a class, so any insight is appreciated,
Casey