I'm trying to integrate, but I get an "undefined function" error.

This is my code:

syms ao an bn t
t = 0 : 0.1 : 2*pi;

x = sin(pi*t);
T = 2;
n = -10 : 1 : 10;
wo = (2*pi)/T;

ao = (1/T)*int(x, t)
an = (2/T)*int((x*cos(n*wo*t)), t)
bn = (2/T)*int((x*sin(n*wo*t)), t)

plot(ao, t, an, t, bn, t)

grid on
xaxis('t')
yaxis('x(t)')
Title('Coefficients of CTFS')

And this is the error I'm getting:

[KSSV]

Copy paste the code here.......don't attach an image snippet.

[Muhammad Faizan Asif]

Okay

[Muhammad Faizan Asif]

Okay. Is it possible to tell MATLAB about which variable I want to use to integrate my function with respect to?

[Mohammad Sami]

My apologies, the function int is only available in symbolic toolbox.

You can refer to the documentations here.

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

Answer 1

[Stephan]

int does not accept numerical inputs, because it performs symbolic integration - so you have to define a numerical vector for t also - here t_num. This has to be the same size like an, and bn are to plot the results:

syms ao an bn t

x = sin(pi*t);
T = 2;
n = -10 : 1 : 10;
t_num = linspace(0,2*pi,numel(n));
wo = (2*pi)/T;

ao = (1/T)*int(x, 0, 2*pi)
an = (2/T)*int((x*cos(n*wo*t)), 0, 2*pi)
bn = (2/T)*int((x*sin(n*wo*t)), 0, 2*pi)

plot(ao, t_num, an, t_num, bn, t_num)

grid on
xlabel('t')
ylabel('x(t)')
title('Coefficients of CTFS')