A problem for the New Year [closed]

improper-integrals integration recreational-mathematics

The integral from $-\infty$ to $\infty$ is $$\frac{2\pi}{2014}\csc\left[\frac{\pi}{2014}\right]$$ See M.L. Glasser, A remarkable property of definite integrals, Math. Comp. 40, 261 (1981).

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