I have been trying to solve the following problem:
Consider the solid obtained by rotating the region bounded by the given curves about the line x = 5. The curves are: and . Find the volume V of this solid.
Facts: The only points of interesction are at (0,0) and (1,1).
We need to use the washer method. However, since the region is being rotated around the line , the radius of each circle will be . We also need to integrate from 0 to 1 along y. Therefore, my solution looked something like this:
The problem with my solution is that volume can not be negative. Can some one please explain what is wrong with my solution?