Double integration of a matrix

Can someone help me with double integration of 12*12 matrix (wrt x and wrt y of elements of the matrix).

I have input the element values in a matrix say F.

Answer 1

[Star Strider]

I sould use trapz once in each dimension of the matrix, so something like —

A = rand(12);                               % Create Matrix
Col_int = trapz(A)

Col_int = 1×12

5.3213 4.3935 5.9568 5.1788 5.2908 6.0508 4.8846 5.8156 7.0526 4.7635 3.5491 5.3651

Full_int = trapz(Col_int)

Full_int = 58.2793

[MANJEET YADAV]

The limits for x and y can't be put by Trapz

[MANJEET YADAV]

Suppose A=[x xy; x^3+y^2 x*y^3]

then how we will double integrate with limits in x and y

[Star Strider]

None of that was in the original post!

Assuming that the intent is to do this symbolically —

syms x y x1 x2 y1 y2 
A=[x x*y; x^3+y^2 x*y^3]

A = 

int_x = int(A, x, x1, x2)

int_x = 

intxy = int(int_x, y, y1, y2)

intxy =