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Hi! I ve got troubles to evaluate the integral with boundaries -inf to inf of the...

Hi!

I ve got troubles to evaluate the integral with boundaries -inf to inf of the following function:
f(x) = (x(sin(x))/(x^2+2x+2)

If someone has an idea how to solve it I would greatly appreciate it. Is there a way to do it with residues?
Thank you!

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