- #1
jjangub
- 24
- 0
Homework Statement
Show [tex]\int_{-\infty}^{\infty} 1/((x^2+x+1))^2 dx[/tex] = 4[tex]\pi[/tex]/(3sqrt(3))
Homework Equations
The Attempt at a Solution
First, I tried to find the singularities, I used (-b[tex]\pm[/tex][tex]\sqrt{b^2-4ac}[/tex])/2a
so I got two singularities, but only (-b+[tex]\sqrt{b^2-4ac}[/tex])/2a works.
Now, I got stuck...for 1/((x^2+x+1))^2
I tried to use the q(z)/p(z) when p(z) is two or higher degree then q(z),
we can do q(z)/p'(z). But it didn't work.
How should I do this...
I need some help...
Thank you...