Need help with this definite integral

  • #1
1
0
I'm having a tough time with this integral:

$$\int_{0}^\infty \frac{x^2 \, dx}{x^4+(a^2+\frac{1}{b^2})x^2+\frac{2a^2}{b^2}}$$
where $$a, b \in \Bbb R^+$$ I tried using the residue theorem, but the roots of the denominator I found are quite complicated, and I got stuck.

What contour should I use? Is there an alternative method? I would appreciate any advice.
 

Answers and Replies

  • #2
RUber
Homework Helper
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There are no singularities in the region of integration. This looks like partial fractions might be the proper approach.
 
  • #3
mathman
Science Advisor
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For partial fractions, the denominator terms will be in terms of [itex]x^2\ not\ x[/itex].
 

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