# 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.

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