- #1
Jonathan G
- 19
- 0
Homework Statement
[tex]\int^{\infty}_{0}\frac{x}{(x^{2}+2)^{2}}dx[/tex]
Homework Equations
I am well aware how it is to be done but when I take a stab at it, I just can't seem to get the correct solution. I think I might be missing a step somewhere or simply starting off incorrect.
The Attempt at a Solution
[tex]\int ^{\infty}_{0}\frac{x}{(x^{4}+4x+4)}dx[/tex]
Then I separate into 3 different integrals:
[tex]\int ^{\infty}_{0}\frac{1}{x^{3}}dx[/tex] + [tex]\int ^{\infty}_{0}\frac{1}{(4x)}dx[/tex] + [tex]\int ^{\infty}_{0}\frac{x}{4}dx[/tex]
and from there I try solving it the rest of the way but I just can't seem to get a solution that I am satisfied with. The first time I got that it diverges, second time i got divided by zero so I'm not sure which 1 to go with if any.