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cos-1-2-pix-x-1-sin-pix-2-dx-




Question Number 166552 by cortano1 last updated on 22/Feb/22
    ∫_(−∞) ^∞ cos ((1/2)πx(x+1)) sin (πx^2 ) dx =?
$$\:\:\:\:\int_{−\infty} ^{\infty} \mathrm{cos}\:\left(\frac{\mathrm{1}}{\mathrm{2}}\pi\mathrm{x}\left(\mathrm{x}+\mathrm{1}\right)\right)\:\mathrm{sin}\:\left(\pi\mathrm{x}^{\mathrm{2}} \right)\:\mathrm{dx}\:=? \\ $$

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