Integration by Partial Fractions

  • #1
RedBarchetta
50
1

Homework Statement


[tex]\[
\int {\frac{{e^t dt}}
{{e^{2t} + 3e^t + 2}}}
\]
[/tex]

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.
 

Answers and Replies

  • #2
Defennder
Homework Helper
2,592
5
Why can't you factor the denominator? Denote x = e^t. Can you do it now?
 

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