- #1
jimmycricket
- 116
- 2
Homework Statement
Evaluate the following integral by integrating the corresponding complex function.
[itex]\int_{-\infty}^\infty \frac{dx}{x(x^2+x+1)}[/itex]
Homework Equations
Cauchy's Residue Theorem for simple pole at a:[itex]Res(f;a)=\displaystyle\lim_{z\rightarrow a} (z-a)f(z)[/itex]
The Attempt at a Solution
I have used the definite real integral widget on wolfram which states that the integral does not converge. Will I be able to show this is the case by integrating around the semi circular contour indented at 0?