Expand $f(x)=x(\pi-x)$ into a Fourier cosine series on $(0;\pi)$
My idea is to expand the function into an even function on $[-\pi;\pi]$ so that the $b_n=0$ and we'll get a Fourier cosine series. But I don't know how. Any one help me please?
2026-04-06 17:49:54.1775497794
Expand $f(x)$ into a Fourier cosine series
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