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

Calculus Level 4

2018exp(02πcot(x+20182018i)dx)= ?\large 2018 \exp \left(\int_{0}^{2 \pi} \cot (x + 2018 - 2018i) \, dx \right) =\ ?

Notations:

  • exp(x)=ex\exp (x) = e^x, where e2.718e\approx 2.718 denotes the Euler's number.
  • i=1i = \sqrt {-1} denotes the imaginary unit.
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