Integration by Partial Fractions

[RedBarchetta]

Homework Statement

$$\[<br /> \int {\frac{{e^t dt}}<br /> {{e^{2t} + 3e^t + 2}}} <br /> \]$$

I'm not quite sure how to start this one...Any hints? I tried bringing e^t down to the denominator and multiplying it out which still didn't help. I can't see a way to factor the denominator or split this into a partial fraction.

Thank you.

 

[Defennder]

Why can't you factor the denominator? Denote x = e^t. Can you do it now?