You can do this by finding the points of intersection of the curve(y1) and the line(y2). Let the intersection points be “[x1,y1]” and “[x2,y2]”. You can find the area using "integral" function.Here is a sample code:
x1 = 1; % Let
x2 = 5; % Let
xmin = min(x1,x2);
xmax = max(x1,x2);
y1 = @(x) (x.^2)+2; % Curve
y2 = @(x) 2*x; % Line
fun = @(x) ((x.^2)+2 - 2*x); % y1-y2
area = integral(fun,xmin,xmax);
