handling variables symbolically, passing function handles

Hello,

I am writing code to solve a double integral numerically.

the outer integral solves using gauss quadrature, and I have a completely separate function for that. The problem I am having is that the integration limits of the inner integral are in terms of "x". I have attached a picture of the integral.

now I understand how function handles so im not entirely clueless, here is what I have done.

upper=@(x) 1+x^2;  //upper integration limit
lower=@(x) 2*x^2   //lower integration limit  both in terms of "x"
f=@(x,y) 2*x + y - x*y^2   // the function to be integrated

now the integral will have to be solved in terms of x first, in other words, x will have to remain SYMBOLIC, but when I try to pass the integration limits into f(x,y) it gets mad that x has not been defined. furthermore I will have to pass the function that I get from this numerical integration to another kind of numerical integration. So again I will have to pass an Anonymous Function. Does anyone have any ideas as to how I can go about doing this? I have been researching it for a while and I cant find many topics like this one.

Answer 1

[Walter Roberson]

http://www.mathworks.com/help/matlab/ref/integral2.html

http://www.mathworks.com/matlabcentral/answers/14514

http://www.mathworks.com/matlabcentral/answers/102635-is-it-possible-to-perform-double-integration-where-the-inner-variable-limits-are-a-function-of-the-v