1. Let R be a region bounded by the by the curves: y=x' and y=2x-x and x and y non- negative. Calculate the following quantity a. The volume obtained by rotating R about the line x=1 : 1. Let R be a region bounded by the by the curves: y=x' and y=2x-x' and x and y non- negative. Calculate the following quantity a. The volume obtained by rotating R about the line x=1