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Category: Integration

if-cos-f-x-dx-g-x-sin-f-x-dx-use-g-x-

Question Number 79086 by key of knowledge last updated on 22/Jan/20 $$\mathrm{if}:\int\mathrm{cos}\left(\mathrm{f}\left(\mathrm{x}\right)\right)\mathrm{dx}=\mathrm{g}\left(\mathrm{x}\right) \\ $$$$\int\mathrm{sin}\left(\mathrm{f}\left(\mathrm{x}\right)\right)\mathrm{dx}=?\:\left(\mathrm{use}\:\mathrm{g}\left(\mathrm{x}\right)\right) \\ $$ Commented by mr W last updated on 23/Jan/20 $${how}\:{did}\:{you}\:{get}…

let-x-1-3-cosx-developp-f-at-fourier-serie-

Question Number 144597 by mathmax by abdo last updated on 26/Jun/21 $$\mathrm{let}\:\varphi\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{3}+\mathrm{cosx}} \\ $$$$\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Answered by Olaf_Thorendsen last updated on 26/Jun/21 $${a}_{\mathrm{0}} \:=\:\frac{\mathrm{1}}{\mathrm{T}}\int_{−\frac{\mathrm{T}}{\mathrm{2}}}…