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$$\int_0^{2 \pi} \frac{\sin x}{1+x^4} \ dx$$

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up vote 1 down vote accepted

Hint: convert to partial fraction and use $Si$ and $Ci$ integrals.

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OK. Thanks for your hint! (+1) – user 1618033 Dec 10 '12 at 16:42
Chris: You are welcome. – Mhenni Benghorbal Dec 10 '12 at 16:43

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