find the area bounded by the curves f(x)=9-x.^2 and g(x)=x-3 in matlab

main.m
% Define the functions f and g
f = @(x) 9 - x.^2;
g = @(x) x - 3;

% Plot the curves
x = linspace(-4,4,100); % Create a vector of 100 equally spaced points from -4 to 4
plot(x,f(x),'b',x,g(x),'r')
legend('f(x)','g(x)')
xlabel('x')
ylabel('y')
title('Intersection of f(x) and g(x)')

% Find the intersection points
fminusg = @(x) f(x) - g(x); % Define the function f(x) - g(x)
x_intersect = fzero(fminusg,1); % Use fzero to find the intersection point
y_intersect = f(x_intersect);

% Calculate the area between the curves using definite integral
area = integral(fminusg,x_intersect,4); % Integrate f(x) - g(x) from the intersection point to x = 4

% Print the result
fprintf('The area bounded by the curves f(x) and g(x) is %.2f.\n', area)
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