(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find a recursive formula for

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

2. Relevant 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.

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# Homework Help: Write a Integral recursive

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