help me to solve this: integral of ( ( (xe^x)/((1+x)^2) )dx )

[im alex]

im stuck with this can u help me to solve this

integral of ( ( (xe^x)/((1+x)^2) )dx )

 

[ksdhart2]

Okay, well, I'll infer from the fact that you've shown no work that you have none of your own to show. That's okay. We'll start at the very beginning then. This looks like a prime candidate for Integration by Parts:

\(\displaystyle \displaystyle \int \frac{xe^x}{\left(1+x\right)^2}dx=\int \:xe^x\cdot \frac{1}{\left(1+x\right)^2}dx\)

Now let u = xe^x and dv = 1/(1+x)^2. Where does that lead you? If you get stuck again, that's okay, but if you do, please include any and all work you've done on this problem, even if you know it's wrong. Thank you.