Fourier series with MATLAB

Hello everybody,

I have a little trouble here, I'm working with Fourier series, I already calcule Ao, An and Bn these is the following code:

Ao = 0;
for i=1:length(f)
   Ao = Ao +int(f(i),'t', inter(i), inter(i+1));
end
Ao = simplify(Ao/T);

An = 0;
wo = 2*pi/T;
for i=1:length(f)
   An = An +int(f(i)*cos(n*wo*t), inter(i), inter(i+1));
end
An = simplify(2*An/T);

Bn = 0;
for i=1:length(f)
   Bn = Bn +int(f(i)*sin(n*wo*t), inter(i), inter(i+1));
end
Bn = simplify(2*Bn/T);

But now I want to express like this form:

This is the following formula:

Thank you for your help

[Akira Agata]

I'm not sure what you want to do, but I guess you are trying to do the following. The following code calculates the first equation of your post up to Nterm th terms.

 t = linspace(0, 4*pi, 1000);

 Nterm = 5;

 ft = zeros(size(t));

 for kk = 1:Nterm
    ft = ft + sin((2*kk-1)*t)/(2*kk-1);
 end

 ft = ft*(4/pi);

 figure
 plot(t,ft);