MATLAB: How to put an integral inside a for loop when the bounds depend on the loop’s variable

for loopintegration

Hi, I would like to do this integration where the j of cj is the loop variable.
I tried this but when I calculate Phi_ij1(1,1) for example, Matlab says "unrecognized function or variable 'y' ". Can you help me?
for j=1:13
             x_max1 = @(y,j) (-sqrt(3)/3).*y + c(j);
             y_min1 = @(j) (sqrt(3)/2)*c(j);
             y_max1 = @(j) c(j)*sqrt(3);
             Phi_ij1 = @(i,j) integral2(B_zi(i,x,y), 0, x_max1(y,j),0,y_max1(j)) - integral2(B_zi(i,x,y),0, x_max1(y,j),y_min1(j),y_max1(j)) ;
end

Best Answer

Here is an example for integral3
According to this integration is done from z to x
You have only y. Looks like x=x(y) in your case
So you have to integrate by x first
Try to replace limits of integration
Phi_ij1 = @(i,j) integral2(@(x,y)B_zi(i,x,y), 0, y_max1(j)), 0, @(y)x_max1(y,j) - ...
                 integral2(@(x,y)B_zi(i,x,y), y_min1(j),y_max1(j), 0, @(y)x_max1(y,j)) ;
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