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Category: Relation and Functions

let-f-x-n-1-sin-nx-n-3-1-study-the-convergence-of-this-serie-2-prove-that-0-pi-f-x-dx-2-n-1-1-2n-1-4-3-prove-that-x-R-f-x-n-1-cos-nx-n-2-4-p

Question Number 37333 by math khazana by abdo last updated on 12/Jun/18 letf(x)=n=1sin(nx)n31)studytheconvergenceofthisserie$$\left.\mathrm{2}\right){prove}\:{that}\:\:\int_{\mathrm{0}} ^{\pi} {f}\left({x}\right){dx}=\mathrm{2}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\mathrm{1}}{\left(\mathrm{2}{n}−\mathrm{1}\right)^{\mathrm{4}} }…