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**1. Homework Statement**

Find a recursive formula for

[tex]I_{n}:=\int_{0}^{\infty}\sin^{n}(x)\cdot e^{-x}\ dx[/tex]

**2. Homework Equations**

**3. The Attempt at a Solution**

I wrote [tex]I_{n+1}[/tex] and tried to integrate by parts and with substitution, however, I wasn't able to get a the original term so that I could write it recursively.