Hey I was recently introduced to the disc, cylindrical shell, and washer methods and I don't understand them fully mostly because it's difficult for me to imagine the shapes created when rotating curves and i dont know which method to use. Here is the problem:
Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.
Find the volume V of this solid.
I decided to use the disc method and set up my integral like so:
With -2 and 2 for the limits of integration...solving this yields 64 but i cant get the correct volume.