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i-i-atan-w-w-e-3iw-dw-

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Question Number 220580 by SdC355 last updated on 16/May/25
∫_(−∞i) ^(+∞i) ((atan(w))/w)e^(3iw) dw=??
$$\int_{−\infty\boldsymbol{{i}}} ^{+\infty\boldsymbol{{i}}} \:\frac{\mathrm{atan}\left({w}\right)}{{w}}{e}^{\mathrm{3}\boldsymbol{{i}}{w}} \mathrm{d}{w}=?? \\ $$

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