Integral and scalar product function handles matlab - matlab

Question

I need to compute this kind of integral
I defined the two f(x,y) and g(x,y) inside a single function
h = {#(x,y) f, #(x,y) g};
where f and g are formulas defined before. In this way I have a 1x2 cell and I want to compute the scalar product as
F = #(x,y) dot(h,E)
where E is a vector 2x1 and then integrate
int = integral2(F,a,b,c,d);
giving me this error
Undefined function 'conj' for input arguments of type 'cell'.
Error in dot (line 37)
c = sum(conj(a).*b);
Error in tm_np>#(R,PHI)dot(e_n_even,E)
Error in integral2Calc>integral2t/tensor (line 228)
Z = FUN(X,Y); NFE = NFE + 1;
Error in integral2Calc>integral2t (line 55)
[Qsub,esub] = tensor(thetaL,thetaR,phiB,phiT);
Error in integral2Calc (line 9)
[q,errbnd] = integral2t(fun,xmin,xmax,ymin,ymax,optionstruct);
Error in integral2 (line 106)
Q = integral2Calc(fun,xmin,xmax,yminfun,ymaxfun,opstruct);
I don't understand why is giving me this error. As result of the integral I should have a 2x1 vector

Answer 1

The problem is the generation of your data. integral2 accepts only functions that get #(x,y) as vector input and return the same size. in your case h is already not that, and F has no #(x,y) inputs (well, it has, but you decided not to pass them to h!!!).
% sample data
f=#(x,y)x.^2+y;
g=#(x,y)y.^2+x+3;
E=[3 1];
% Create auxiliary fucntion
mydot=#(x,y)(f(x,y).*E(1)+g(x,y).*E(2));
% work
int = integral2(mydot,0,3,1,5);