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Prove-pi-pi-x-ln-1-sin-x-cos-x-dx-2piG-




Question Number 222855 by MrGaster last updated on 09/Jul/25
Prove:∫_(−π) ^π x ln (1+sin x +cos x)dx=2πG
$$\mathrm{Prove}:\int_{−\pi} ^{\pi} {x}\:\mathrm{ln}\:\left(\mathrm{1}+\mathrm{sin}\:{x}\:+\mathrm{cos}\:{x}\right){dx}=\mathrm{2}\pi{G} \\ $$
Answered by MrGaster last updated on 09/Jul/25

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