MATLAB: Fourier Series`of an Even function

fourier series

Why is a0 a value if pi when It shouldn't be?
%% Problem 17.5
display('Problem 17.5')
syms n t
Wo = 1;
T = 2*pi;
n = 1:10;
a0 = (1/T)*[int(-14,t,-pi,0) + int(7,t,0,pi)]
an = (2/T)*[int(-14*cos(n*Wo*t),-pi,0) + int(7*cos(n*Wo*t),0,pi)]
bn = (2/T)*[int(-14*sin(n*Wo*t),-pi,0) + int(7*sin(n*Wo*t),0,pi)]

Best Answer

Hello Salik,
You are right, there should be no pi in the DC coefficient and the value should be 3.5. According to me as a0 is a symbolic variable so it has the pi symbol included in it for better precision. I calculated the value of a0 that MATLAB is displaying, and it is coming 3.5. If you want to use the numeric value, then you can do a symbolic to numeric conversion as follows:
A0_numeric = double(a0);
DISCLAIMER: These are my own views and in no way depict those of MathWorks.
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