How to apply numerical integration on a symbolic matrix?

Can I use integral2 to calculate the matrix below on the domain[0,1]*[0,1];

My matrix is much more complicated than this one, and I do not want to calculate the symbolic expression one by one~

Answer 1

[Andrei Bobrov]

Please try this is code:

fun = {@(x,y)x+y,@(x,y)x.^2+y.^2;@(x,y)x-y,@(x,y)x.^2-y.^2}

q = cellfun(@(z)integral2(z,0,1,0,1),fun);

or let fs - a your symbolic matrix, then

fun = zeros(size(fs));
for jj = 1:numel(fs)
    fun = matlab2Function(fs(jj));
    out(jj) = integral2(fun, 0, 1, 0, 1);
end

[Ali SeyedKavoosi]

my Matlab does not recognize matlab2Function. Is it in any update or app?

[Hadi alimohammadi]

i have same problem!!!

Matlab2Function is not known function for matlab.

Answer 2

[KSSV]

   syms x y
   A = [x+y x^2+y^2 ; x-y x^2-y^2] ;
   X = int(A,x,0,1);    % integrate w.r.t x between limits 0 and 1 
   Y = int(A,y,0,1) ;    % integrate w.r.t y between limits 0 and 1

[Shican Liu]

Thank you