Can I integrate using nested functions using quad?

Hello,

What I'm trying to do is the following. Using a function

f (x) = x + alpha

where alpha=x^2, I'm trying to use the function quad to integrate f(x). The obvious way to do it is

quad(@(x)(x+x.^2),a,b).

Is there a way to integrate only writting alpha, instead of x^2, namely

quad(@(x)(x+alpha),a,b)

Apparently I can't do that, is there any other function that would allow me to do this, or how can I do this? It would be useful for me to do this, because the function I want to integrate is way more complicated than the one described above.

Thank you for your response.

Answer 1

[Star Strider]

You can do that!

You need to define ‘alpha’ as an anonymous function and refer to it as such in your code for ‘f’:

alpha = @(x) x.^2;
f = @(x) x + alpha(x);

a = 0; 
b = 2;
int_f = quad(f, a, b);

Answer 2

[Francisco Hernandez]

Thank you! This was very useful :)

[Star Strider]

My pleasure!