MATLAB: Function of a variable obtained from integrating a two variable function

function from integrationmultiple variablesnumerical integration

I have a function that depends on two variables, say x and y; f(x,y). I want to integrate with respect to x only and get a new function that depends only on y; i.e., g(y) = @(y) integral(@(y)f(x,y),lim1,lim2), where lim1 and lim2 are the limits for for x. I want to use g(y) later to carry out other operations. I cannot find a way around this problem.

Best Answer

I think you've answered your own question. Why can't you create an anonymous function for g() just as you did in your post

    g = @(y) integral(@(x)f(x,y),lim1,lim2)

and carry that around for reuse?

Related Solutions

MATLAB: Integral2 Error message

F = @(x,y) x./y + y./x
F = function_handle with value:
    @(x,y)x./y+y./x
q = integral2(F,1,2,1,4)
q = 7.2780

MATLAB: Error when trying to integrate over step function

integral() passes in a vector of values and expects one result for each element of the vector. You need to vectorize:

function y = step_fun(t)
  y = zeros(size(t));
  y(t>=0) = 1;

Or more compactly,

function y = step_fun(t)
   y = t >= 0;

which can be done as

step_fun = @(t) t >= 0;

Best Answer

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MATLAB: Integral2 Error message

MATLAB: Error when trying to integrate over step function

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