how to draw surface

how do I write the program that draws the two-dimensional integral surface of the function in Matlab ?

Answer 1

[Ameer Hamza]

You can draw it using meshgrid and surf

[X, Y] = meshgrid(linspace(-3,3));
Z = exp(-X.^2-Y.^2);

surf(X,Y,Z)
shading interp

[Beyza Taka]

Thank You but I need the surface of the function's integral.

[Ameer Hamza]

But the limits on the integral are constant. They need to be variable to plot a surface. Can you show which limits of the integral are varying?

[Beyza Taka]

limits given from 0 to 2

[Ameer Hamza]

I guess you want something like this

[X, Y] = meshgrid(linspace(0,2));
fun = @(X,Y) integral2(@(x,y) exp(-x.^2-y.^2), 0, X, 0, Y);
Z = arrayfun(fun, X, Y);
surf(X,Y,Z)
shading interp

[Beyza Taka]

yes but gives error on Line 3.

[Ameer Hamza]

There was a typo. Try again.

[Beyza Taka]

Thank you very much, it works.

[Ameer Hamza]

I am glad to be of help.

[Ameer Hamza]

FYI, this is a faster version of the previous code in the comment

syms x y X Y
fun = matlabFunction(int(int(z,x,0,X),y,0,Y), 'Var', {X, Y});

[Xg, Yg] = meshgrid(linspace(0,2));
Z = arrayfun(fun, Xg, Yg);
surf(Xg,Yg,Z)
shading interp