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find-C-n-1-cos-nx-n-2-dx-and-S-n-1-sin-nx-n-2-




Question Number 38107 by maxmathsup by imad last updated on 21/Jun/18
find C = Σ_(n=1) ^∞    ((cos(nx))/n^2 )dx  and S=Σ_(n=1) ^∞   ((sin(nx))/n^2 )
$${find}\:{C}\:=\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\frac{{cos}\left({nx}\right)}{{n}^{\mathrm{2}} }{dx}\:\:{and}\:{S}=\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{{sin}\left({nx}\right)}{{n}^{\mathrm{2}} } \\ $$

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