Hi Aashay,
After commenting out the code for pos and negArea that wouldn't run because y is not defined (and even if was defined, it's not clear what the trapz() commands are trying to do by indexing into an sym variable), we get that area between the curves is 2.
clear all
clc
syms x
f=sin(x);
g=sin(2*x);
L=[0 sym(pi)];
%gt0 = y>0;
%posArea = trapz(x(gt0), y(gt0));
%negArea = trapz(x(~gt0), y(~gt0));
a=L(1);b=L(2);
area1=int(f-g,x,a,b);
disp(['area bounded by the curves f(x) and g(x) is:',char(area1)]);
But because the curves cross, isn't the formula supposed to be:
area1=int(abs(f-g),x,a,b);
disp(['area bounded by the curves f(x) and g(x) is:',char(area1)]);
% x1=linspace(a,b,20);y1=subs(f,x,x1);
% x2=x1;y2=subs(g,x,x1);
% plot(x1,y1);hold on;plot(x2,y2);hold off;
% xlabel('x-axis');ylabel('y-axis');
fplot([f g],double(L))
legend ('f(x)','g(x)');grid on;
