$$\int_{-\infty}^{\infty} \frac{x \sin(x)}{x^2 +4} dx$$ I do not understand how to evaluate integrals by using a closed contour and passing to a limit, can someone show me using this example
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2I suggest you look at the old questions. Similar questions have been posted over and over again. – Zaid Alyafeai Mar 17 '17 at 17:02
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It took me less than a minute to find http://math.stackexchange.com/questions/2172184/compute-int-0-infty-fracx-sin-2x9x2-dx – Zaid Alyafeai Mar 17 '17 at 17:03
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i still don't understand – user424889 Mar 17 '17 at 17:43
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What exactly you don't understand ? Write what you have tried so far. – Zaid Alyafeai Mar 17 '17 at 17:51
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@ZaidAlyafeai good catch! why not officially making this a duplicate? – tired Mar 17 '17 at 18:28
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@tired If so all integral is duplicate! Because it's integral! – Michael Rozenberg Mar 18 '17 at 04:28
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@Zaid Alyafeai It's exactly, that I said! We calculate an integrals by the same approaches. Let be close all topics with integrals! – Michael Rozenberg Mar 18 '17 at 09:41
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@Zaid Alyafeai In this forum often enough close an interesting topics with nice wards similar to your. Maybe in our case you are right, but see here: http://math.stackexchange.com/questions/2190801 This topic will be close! I don't agree with this thing. – Michael Rozenberg Mar 18 '17 at 10:02