Question

A solid is formed by rotating the area between the curves u(x)
and v(x) where 0 log 2 e £ x £ , about the x axis.
Show that the volume of the solid generated is 2p RA where A
is the area between the curves.
3
R
y
loge 2
x
A
u(x) = R - 1+ ex
v(x) = R + 1- ex