Let f and g be the functions given by f(x)=2 x(1-x) and g(x)=3(x-1) √x for 0≤ x≤ 1. The graphs of f and g are shown.
Find the volume of the solid whose base is the cross section of the region bounded by the graphs of f and g and is formed by right isosceles triangles that are perpendicular to the x-axis.
