Function of function in Symbolic Math Toolbox

How could I define a functional in Symbolic Math Toolbox , eg . I wish a generic definition that allows to choose several functions for f.

Answer 1

[Jayanti]

Hi,

You can define a functional using symbolic variables and functions by first creating a placeholder for any function of (x) using “syms”. Then set up a generic integral functional that can accept any function as input. To evaluate it, assign a specific function and use the “subs” function:

You can refer to the following code for your reference:

syms f(x); 
F = int(f, x, 0, 1); 
%Give desired function definition
f(x)=x^2; 
F1 = subs(F); 

I am also attaching official MathWorks documentation link on “syms” and “subs” for your reference:

https://www.mathworks.com/help/symbolic/syms.html

https://www.mathworks.com/help/symbolic/sym.subs.html

Hope this will be helpful!