MATLAB: Parameter vectors outside integration function

double integralintegral2integrationvectors in integrals

I am trying to calculate a double integral with three varibales in the form of a vector AB and another scalar B also as a paremeter. If I write the routine so that AB and B are inside the integration fucntion:
Inty3=integral2(@Func3,0,1,0,@(y) y)
function fy3 = Func3(z,y)
              AB=[1 2 3];
              BB=1;
              fy0=sqrt((AB(1)*z+AB(2)).^2+(BB*z+AB(3)).^2); 
              fyy=((1+fy0).^2)./(1-fy0); % F(y) in Eq.17  

              fAy=(AB(1)*z+AB(2))./(1-fy0);   
              fy3=fyy.*fAy;                  
end
the integral is clauclated without a problem, but if AB and B are moved outside of Fun3, i.e.,
AB=[1 2 3];
  BB=1;
    Inty3=integral2(@Func3,0,1,0,@(y) y)
      function fy3 = Func3(z,y)
                    fy0=sqrt((AB(1)*z+AB(2)).^2+(BB*z+AB(3)).^2); 
                    fyy=((1+fy0).^2)./(1-fy0); % F(y) in Eq.17  
                    fAy=(AB(1)*z+AB(2))./(1-fy0);   
                    fy3=fyy.*fAy;                  
      end
then I receive the following error message:
Not enough input arguments.
Error in DoubleInt>Func3 (line 15)
              fy0=sqrt((AB(1)*z+AB(2)).^2+(BB*z+AB(3)).^2);
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);
Error in DoubleInt (line 10)
Inty3=integral2(@Func3,0,1,0,@(y) y)

Best Answer

You need to change your call to ‘Func3’ in the second example:
Inty3=integral2(@(z,y) Func3(z,y,BB,AB),0,1,0,@(y) y)
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