(Solved): Refer to the graph of the curves \( y=-\cos (\pi x)+1 \) (in green) and \( y=2 x \) (in black) bel ...

Refer to the graph of the curves \( y=-\cos (\pi x)+1 \) (in green) and \( y=2 x \) (in black) below. Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the enclosed region bounded by the given curves about the line \( y=-1 \) using either disks or washers (whichever is appropriate for this problem). Include in your work a sketch of the solid and a typical disk or washer.