use the integration to the find the area bounded by the two curves at the computed boundary. in matlab

main.m
% Define the two curves
f = @(x) x.^2;        % y = x^2
g = @(x) x.^3 - 2*x;  % y = x^3 - 2x

% Define the boundaries of the region of interest
a = 0;
b = 1;

% Compute the intersection point of the two curves
x_intersect = fzero(@(x) f(x) - g(x), 0.5);  % Find the root of f(x) - g(x) = 0

% Compute the area between the curves using integration
area = abs(integral(f, a, x_intersect) - integral(g, x_intersect, b));

% Display the result
fprintf('The area between the curves is: %f\n', area);
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