My AP Calculus class finished its last unit before our review for the test in May today. The test was on solids of revolution. Personally, while I love calculus, I’m tripped up by the different scenarios like rotating using disks on dy or using a shell on dx. I wrote a little study guide to make things a little easier.
I think about it like this: it switches. For instance, using the washer method, you rotate on the x-axis and you use a dx integral. Conversely, you using the shell method, you rotate the x-axis you will use a dy integral. This method of thinking helps me remember.
If there are any errors in this guide, well, that will explain my dismal test scores on my most recent exam. In the case you find an error, please leave a comment – it would really suck to have erroneousness information in a study guide.