How to apply numerical integration on a symbolic matrix?

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Shican Liu
Shican Liu 2016-9-26
评论： Hadi alimohammadi 2021-11-4
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~

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采纳的回答

Andrei Bobrov
Andrei Bobrov 2016-9-26
编辑：Andrei Bobrov 2016-9-26
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

更多回答（1 个）

KSSV
KSSV 2016-9-26
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

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