1. The problem statement, all variables and given/known data The area between the y-axis and the line y = x + 1 from y = 2 to y = 4 is rotated about the x-axis. Use the shell method to find the area of the resulting solid. 2. Relevant equations V = 2pi integral (radius)(height of shell) dx or dy 3. The attempt at a solution Well I am kind of confused with this problem, it says to find the AREA but isn't the shell method suppose to find the VOLUME? Here is my attempt: y= x+1 -----> x=y-1 V = 2pi integral from 2 to 4 y(y-1) dy I then evaluated it to get = (76/3)pi as the volume. What did I do wrong?