MATLAB: Plotting a two dimensional equation with an integral

Question

Hi!

I would like to plot the function

For different values of K. How do I do this?

Thanks in advance

Answer 1

Something like this

K = 1:10;  % or whatever values you want
for i = 1:numel(K)
    I(i) = integral(@(theta) Ifn(theta,K(i)),-pi/2,pi/2);
end
plot(K,I),grid
function kern = Ifn(theta,K)
         r = 2;   % replace with true value
         kern = cos(theta).^2.*exp(-(K*r*sin(theta)).^2/2)/(2*pi);
end