Let S be the region in the first quadrant bounded by the graphs of and Region S is the base of a solid whose cross sections perpendicular to the x-axis are squares. Find the volume of the solid.
This is not a revolution problem. The cross sections are perp. to the x-axis, so it looks like we integrate wrt x by using the area of the squares.
Since the cross-sections are perp. to the x-axis, then the squares will have base width y and area y^2.
But
So, we need