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How to compute integral $\int_0^\infty |\sin x|e^{-x}dx$

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When I plug

$$\int_0^\infty |\sin x|e^{-x}dx$$

into symbolab, it tells me the first step is to find the equivalent expression for the integrand at $0\leq x \leq \infty$. It says this expression is $\sin (x) e^{-x}dx$.

I don't understand this because on $0\leq x \leq \infty$, $\sin x$ is not just zero or a positive number. It can be negative so you can't just remove the absolute value bars.


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