The problem is given as(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int\frac{x*e^x}{(x+1)^2}dx[/tex]

I did u substitution with u=(x+1) and du=dx

which gives me [tex]\int\frac{(u-1)*e^{u-1}}{u^2}[/tex]

simplifies to [tex]\int\frac{u*e^{u-1}-e^{u-1}}{u^2}[/tex]

Then I separated it into two integrals

[tex]\int\frac{e^{u-1}}{u}-\int\frac{e^{u-1}}{u^2}[/tex]

Now I'm stuck. I tried doing these separate integrals by parts, but it doesn't seem to be working for me. Am I going in the complete wrong direction with this? Any help would be appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Integral problem

**Physics Forums | Science Articles, Homework Help, Discussion**