Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves y = 3 + 2x - x^(2) and y + x = 3 about the y-axis. Below is a graph of the bounded region.
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves
about the specified axis. Sketch the curves including all relevant points, and shade the area being rotated. If graphing is
not sufficient, no credit. Graphing is more important than the answer. Exact answer.
y=\sqrt(x),x=2y, about x=6
x=2y^(2),x=y^(2)+1, about y=-2