Mitä on

$\int\limits_{-\infty}^{\infty}\left[1+\left(\frac{2013}{x+2013}+\cdots +\frac{2}{x+2}+\frac{1}{x+1}-x\right)^{2014}\,\right]^{-1}\,dx$.

Vastaus:

$\frac{2\pi}{2014}\csc\left[\frac{\pi}{2014}\right]$.

Löytyi MSE:stä: [http://math.stackexchange.com/questions/623745/a-problem-for-the-new-year?newsletter=1&nlcode=49609%7c4ece]