
Integration Problem
Hi again,
Can anyone help me integrate the following problem:
$\displaystyle \int_{1}^{2}\frac{e^\frac{1}{x}  x^2}{x^2e^\frac{1}{x} + x^3}dx$
I'm not sure what to use for my substitution (if I even need to use the substitution method)
Thanks guys!
Christian

The answer on the solution sheet is:
$\displaystyle \ln(\frac{e+1}{\sqrt e+2})$
If that helps any...
Didn't seem to help me much!

Hi csawyer1109
$\displaystyle \int_{1}^{2}\frac{e^\frac{1}{x}  x^2}{x^2e^\frac{1}{x} + x^3}dx$
$\displaystyle =\int_{1}^{2}\frac{e^\frac{1}{x}  x^2}{x^2(e^\frac{1}{x} + x)}dx$
let : $\displaystyle u = e^\frac{1}{x} + x$