1. The problem statement, all variables and given/known data Find the region bounded by the two functions from y=0 to y=2 equations given: x=(y-1)2 -1 x=(y-1)2 +1 express x as a function of y and integrate it with respect to y 2. Relevant equations equations given: x=(y-1)2 -1 x=(y-1)2 +1 3. The attempt at a solution Set x as a function of y sqrt(x+1) + 1 =y sqrt(x-1 ) + 1 = y 4. The confusion The second equation doesn't actually exist until x =1...does that mean I have to just integrate from 1 to 2? But.... It says from y=0 to y=2... I am confused about this. I am told to express x as a function of y and integrate it with respect to y.... I am unclear as to the meaning of this. It would make more sense if this was x=0 to x=2... please help!