# How to evaluate an Indefinite Integral of this sort?

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