Calculus 3

Calculus Level pending

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

If the equation holds true for real \(a\) and \(b\), find \(a+b\).

\[\] Clarification: \(i=\sqrt{-1}\).

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