MATLAB: Integrating array of functions

arrayarray of functions;functionsintegrationMATLAB

Hi people,

I have an array of functions, something like func(x,y)=[func1(x,y) func2(x,y) … funcN(x,y)]

Now I want to integrate func(x,y). I.e., I want to integrate each component of func(x,y). How can I do that?

All information I could find are about function of arrays, instead of array of functions.

Thanks in advance.

Best Answer

In this calculation i have assumed that you are doing double integration first w.r.t y then x. First define symbolic matrix. Then perform double integration.

>> syms x y
>> a=[x.^2+y x+y];
>> int(int(a,y, 0, sin(x)), 0, pi)

In this calculation y limit is from 0 to sin(x) and x limit is from 0 to pi.

Related Solutions

MATLAB: Dear Reserach Team! I need to calculate numerically definite integral of a function g(y), where g(y) is a numerical integral of f(x,y). Please advise how to do it (the details are shown below). Many thanks in advance!.

function main
  g = @(y) integral(@(x)f(x,y),0,1);
  s = integral(g,0,2,'ArrayValued',true)
end
function fun_f = f(x,y)
  if y==0
    fun_f = x.^2;
  else
    fun_f = x.*sin(x.*y)./y;
  end
end

MATLAB: Double & Triple Integration with tabular data

You can use Matlab's 'trapz' successively for this purpose. The easiest case is integrating over a rectangular region in (x,y) - that is, where the tabular data, T(x,y), is defined over a rectangular mesh of (x,y) values. Let x and y be vectors of the (x,y) values along the two edges of the rectangular table.

   [X,Y] = meshgrid(x,y);
   T = (The array of tabular values corresponding to X and Y)
   I = trapz(y,trapz(x,T,2));  % <-- The double integral

You should realize that the accuracy of this method is limited by how closely-spaced the x and y values are in the rectangle. For higher order integration than the trapezoidal method there are some algorithms given in the MatLab File Exchange.

Best Answer

Related Solutions

MATLAB: Dear Reserach Team! I need to calculate numerically definite integral of a function g(y), where g(y) is a numerical integral of f(x,y). Please advise how to do it (the details are shown below). Many thanks in advance!.

MATLAB: Double & Triple Integration with tabular data

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