ABSTRACT
The Fourier coefficients a0, an and bn all require functions to be integrated, i.e.,
a0 D 12 ∫
fxdx D 1
fx dx
D mean value of fx in the range to or 0 to 2
an D 1
∫ fx cosnx dx D 1
fx cosnx dx
D twice the mean value of fx cosnx in the range 0 to 2
bn D 1
∫ fx sinnx dx D 1
fx sinnx dx
expressions and thus the Fourier coefficients cannot be determined by using calculus. In these cases, approximate methods, such as the trapezoidal rule, can be used to evaluate the Fourier coefficients.
