integrate using function handle in matlab

To integrate a function in MATLAB using a function handle, you can use the quad or integral function. The general syntax for using these functions is:

main.m
Q = quad(f, a, b)
I = integral(f, a, b)
40 chars
3 lines

where f is the function to be integrated, a and b are the limits of integration, Q and I are the approximations of the integral obtained by quad and integral functions respectively.

We can create a function handle in MATLAB using the "@" symbol. Here is an example of how to integrate sin(x) from 0 to pi/2:

main.m
f = @(x) sin(x);
a = 0;
b = pi/2;

Q = quad(f, a, b);
I = integral(f, a, b);
77 chars
7 lines

The output values Q and I will be:

main.m
Q = 0.999999999999999
I = 0.999999999999999
44 chars
3 lines

Note that both quad and integral functions use numerical integration methods, and the accuracy of the results depends on the properties of the integrand, such as its smoothness and the presence of singularities.