Who's up to the challenge?1

Calculus Level 5

\[ \large\int_0^\infty e^{-x} \sinh x \cos^2 x \, dx \]

If the integral above is in the form of \( -\dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

Give your answer as 1000 if you think the integral diverges.

this is a part of Who's up to the challenge?


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