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Question Number 75741 by Gazella thomsonii last updated on 16/Dec/19
solve complex integral  ∫_(−∞) ^(+∞)  (e^(it) /( (√(1+t^2 ))))dt=????  plz.......help me...T⌢T     my handsome brothers and sisters...
$$\mathrm{solve}\:\mathrm{complex}\:\mathrm{integral} \\ $$$$\int_{−\infty} ^{+\infty} \:\frac{{e}^{\boldsymbol{{i}}{t}} }{\:\sqrt{\mathrm{1}+{t}^{\mathrm{2}} }}\mathrm{d}{t}=???? \\ $$$$\mathrm{plz}…….\mathrm{help}\:\mathrm{me}…\mathrm{T}\frown\mathrm{T}\:\:\: \\ $$$$\mathrm{my}\:\mathrm{handsome}\:\mathrm{brothers}\:\mathrm{and}\:\mathrm{sisters}… \\ $$

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