The value of the integral \int ↙\stackrel{\infty}{−\infty}⁡\frac{ \sin ⁡x}{x^{2} + 2x + 2}dx evaluated using contour integration and the residue theorem is

Correct Answer is : -π sin (1)/e

GATE Mechanical Engineering (ME) 2016 Shift 1 Solved Paper

Question : 38 of 65

Marks: +1, -0

The value of the integral

∫ ↙{−∞}↖{∞}⁡\;{\ sin\;⁡x}/{x^{2} + 2x + 2}dx

evaluated using contour integration and the residue theorem is

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