# "I am Back" says Integration Part 9

Calculus Level 5

$\large \int_0^\infty \dfrac{\sin x}{x^2} (1-e^{-x} ) \, dx$

If the above integral above can be expressed as

$\dfrac \pi A + \ln (\sqrt B ),$

where $$A$$ and $$B$$ are integers, find $$A+B$$.

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