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Question Number 75742 by Gazella thomsonii last updated on 16/Dec/19

plz solve this my handsome guys and sisters...  complex integral ∫_(−∞) ^(+∞)  (e^(it) /(√(1+t^2 )))dt

$$\mathrm{plz}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{my}\:\mathrm{handsome}\:\mathrm{guys}\:\mathrm{and}\:\mathrm{sisters}... \\ $$$$\mathrm{complex}\:\mathrm{integral}\:\int_{−\infty} ^{+\infty} \:\frac{{e}^{\boldsymbol{{i}}{t}} }{\sqrt{\mathrm{1}+{t}^{\mathrm{2}} }}\mathrm{d}{t} \\ $$

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