find the solid of revolution of the function lnx when it's rotated about the x-axis from 1 to e.
here you are trying to use the shell method. in this case you need to change the function from a function of x to a function of y, and change the limits as well. by the way, the lnx should not be squared when using this method, and you have to multiply by the radius instead. personally, i think this is more work than its worth. use the disk method