I have to the find trigonometric series expansion for a function $g(x)$ defined on $[0, 1)$ by the following formula: $g(x) = x(1 − x)$. I will show you what I have so far. 
I just want to know if the setup I have is correct with the coefficients.
2026-04-04 06:17:30.1775283450
How would I set up the fourier series for this problem shown below?
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