Suppose I want to compute tthe integral:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int_{-\infty}^{\infty}\frac{\textrm{sech}\hspace{0.1cm} x}{x^{2}-2|x|+1}dx

[/tex]

Can I compute this integral via contour integration? The only way that I have thought of is to split up the domain:

[tex]

\int_{-\infty}^{\infty}\frac{\textrm{sech}\hspace{0.1cm} x}{x^{2}-2|x|+1}dx=\int_{-\infty}^{0}\frac{\textrm{sech}\hspace{0.1cm} x}{x^{2}+2x+1}dx+\int_{0}^{\infty}\frac{\textrm{sech}\hspace{0.1cm} x}{x^{2}-2x+1}dx

[/tex]

Is this the best way I can go about things for is there a better way?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Contour integral with absolute value

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**