The region R is bounded by the curve y=1/(4x-2x^2-1)and the line y=2. Find the volume of the solid of revolution when R is rotated completely about the axis.

Question

experimentx · Answer

use disc method ... to calculate the volume of inner hollow solid .. and subtract it from big cylinder

experimentx · Answer

http://www.wolframalpha.com/input/?i=solve+2%3D1%2F%284x-2x^2-1%29

anonymous · Answer

Thanks but your method is for the volume about the x axis? If i'm supposed to rotate R about y axis how do i go about doing it?

experimentx · Answer

use shell method!!!

experimentx · Answer

find the lower value of x and upper value of x,

the volume  = integration of lower value of y to y=0
$$ \int_{x1}^{x2}2\pi x(2-y)dx $$