Evaluate: $\displaystyle \int_0^{\infty}\int_0^{\infty}(1 + x^2 + y^2)^{-2} dxdy$ How would I go about evaluating this integral?
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Originally Posted by Shananay Evaluate: $\displaystyle \int_0^{\infty}\int_0^{\infty}(1 + x^2 + y^2)^{-2} dxdy$ How would I go about evaluating this integral? Change to polar coordinates remember that $\displaystyle x^2+y^2=r^2$ and $\displaystyle dxdy=rdrd\theta$ This should get you started
Originally Posted by TheEmptySet Change to polar coordinates remember that $\displaystyle x^2+y^2=r^2$ and $\displaystyle dxdy=rdrd\theta$ This should get you started Thanks, I didn't think of that. I'm having trouble with the limits again though. I think theta is from 0 to pi/2 but isn't r from 0 to infinity?
Originally Posted by Shananay Thanks, I didn't think of that. I'm having trouble with the limits again though. I think theta is from 0 to pi/2 but isn't r from 0 to infinity? Yes they are both correct.
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