Hello,

I have been trying to solve the following problem:

Consider the solid obtained by rotating the region bounded by the given curves about the linex= 5. The curves are: and . Find the volumeVof this solid.

Facts: The only points of interesction are at (0,0) and (1,1).

Attempted Solution:

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:

expanding....

simplify...

integrate...

The problem with my solution is that volume can not be negative. Can some one please explain what is wrong with my solution?

Thanks,