Calculus 3

Calculus Level pending

$\large \int _{-\infty} ^\infty \frac {e^{(1998+2016i)x}}{\cosh (x)} \, dx = \frac \pi { \cosh ((ai-b) \pi)}$

If the equation above holds true for real $$a$$ and $$b$$, find $$a+b$$.



Notation: $$i=\sqrt{-1}$$ denotes the imaginary unit.

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