May I seek assistance on how this integral can be evaluated?

$\int_{\Sigma} \frac{dydz}{[a_{o}(y^{2}+z^{2})+2f_{o}y+2g_{o}z+c_{o}]^{2}}$ where $a_{o}c_{o}-f_{o}^{2}-g_{0}^{2}=\frac{1}{4}$

  • Is $\Sigma$ a rectangular region? – David H Nov 9 at 2:00
  • Yes of course. I'm asking if we may assume that region is rectangular. – David H Nov 9 at 3:43
  • @DavidH, yes, the region is rectangular. – Bryan London Nov 9 at 4:04
  • Also, I just noticed the $y^z$ term in the denominator. Are you sure this isn't perhaps a typo, and should be $y^2$? – David H Nov 9 at 4:53
  • @DavidH, thanks for pointing this out. Yes, it is indeed a typo. I had corrected my initial post. – Bryan London Nov 9 at 5:19

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