Hi I just need a check on if the answer I got is correct.

"Find the volume of the solid obtained by rotating the region between , with 1 x , about the y-axis"

y(1) = 1

y(2) =

x =

(from 1 to ) , dy + (from to 0) dy

= +

= [ -1 + 2 + 2]

=

Any help would be great thanks.