# $e, \pi, i, -1, 0$ and the super amazing 2018.

Calculus Level 4

$\large 2018 \exp \left(\int_{0}^{2 \pi} \cot (x + 2018 - 2018i) \, dx \right) =\ ?$

Notations:

• $\exp (x) = e^x$, where $e\approx 2.718$ denotes the Euler's number.
• $i = \sqrt {-1}$ denotes the imaginary unit.
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