Use the integral test to find upper and lower bounds on the limit of the series:

$\displaystyle \sum_{j=1}^{\infty} je^{-j}$

So do I first turn this series into an integral? So this would then be...

$\displaystyle \int_{1}^{\infty} je^{-j}$

Is this right so far? If so, I'm stuck right here.