Question

Fourier Series: Expand the function f(x) = x^2 in a Fourier sine series on the interval 0 <= x <= 1.

Is it correct to say that the expansion just evaluates to 0 since only cosine terms should appear when Fourier series expansion is done to even functions (like x^2)?

Answer 1

yes, by assuming that it is periodic and the first cycle from -1 <= x <= 1 is like this