On a graph, draw the horizontal line at y=2, and shade everything below it.
Next, draw the vertical line at x=0 and shade everything to right (positive).
Next, draw the line y=2x and shade everything above it. This triangular region that results from the overlap of all three shaddings is the region we are rotating.
Hopefully that gets you started. I think if you figure out the correct region you'll probably be able to get going from there. If not, let me know.