The value of the integral\(\mathop \smallint \limits_{ - \infty }^\infty \frac{{\sin x}}{{{x^2} + 2x + 2}}dx\)evaluated using contour integration and the residue theorem is

• A. -π sin (1)/e
• B. -π cos (1)/e
• C. sin (1)/e
• D. cos (1)/e