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

Took a test today, one question I am not sure I got right.

[itex]\int_{0}^{\infty} te^{-at}dt[/itex], when a>0

2. Relevant equations

3. The attempt at a solution

I set let infinity be b, then took the limit as b went to infinity of the integral with new bounds from 0 to b. My solution claimed that it converges to 1/a^2. Is this correct or should I expect to miss that question?

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# Homework Help: Integral test correction

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