Creating a horizotal region

I don't really understand how to create a horizontal region between two functions in a graph.

I did this to get the vertical region can you please help to get the horzontal region

f = @(x) x.^3;

g = @(x) x-x;

fplot(f, [-3, 3]), hold on

fplot(g, [-3, 3], 'LineWidth',2)

x1 = 0;

x3 = 1;

xcoord = linspace(x1, x3, 100);

ycoord = [f(xcoord); g(xcoord)];

plot([xcoord;xcoord], ycoord),

plot(xline(1))

hold off

It would be nice if you could use a function of y instead of x (f(x) x^3 = f(y) y^1/3)

I am trying to get the region bounded by y = and y- 1 and x = y^1/3 and x =1 in type 1 and type 2 region (calculus)

Thanks.