You can do it with shells or disks. But don't forget to add on the rectangular region from 0 to 1. See it?. It is
This is one way to go about it.
How do you SET UP this question? I can probably do it if I set it up, but I just don't know how to set it up. Also, please EXPLAIN how to set it up so I can set up other problems like this.
Let V be the region bounded by the , , , and . Find the exact volume by rotating V around the y-axis.
Thanks for clearing that up. It makes a lot more sense now.
One more question though...
Let's say that you had , but this time the region is bounded by the the and the lines and . Of course you still rotate the region around the y-axis, but how would the problem change when you set it up?