1
$\begingroup$

The above integral has a pole at $x=-b$. $b$ is real and $b\ge 0$. To my knowledge such integral are solved using residue theorem. But, I am not able to find suitable contour to solve this integral.

  • 0
    It seems there is no elementary result possible. See http://www.wolframalpha.com/input/?i=\int^{\infty}_{0}\frac{e^{ix}}{x%2Bb}2012-08-24
  • 1
    Since $0$ has nothing special to do with the integrand, it is unlikely that contour methods will help.2012-08-24

2 Answers 2