Re: MX2 Integration Marathon
(I procrastinate by doing uni maths
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![](https://latex.codecogs.com/png.latex?\bg_white \int_{0}^{\infty }\frac{cos(x)}{1+(x)^{2}}dx)
![](https://latex.codecogs.com/png.latex?\bg_white \int_0^{\infty}\frac{\cos(x)}{(x+i)(x-i)}dx=1/2 \int_{-\infty}^{\infty} \frac{\cos(x)}{(x+i)(x-i)}dx)
then consider the contour integral:
![](https://latex.codecogs.com/png.latex?\bg_white \oint \frac{e^{iz}}{(z+i)(z-i)}dz)
where the contour is the half-disc in the upper half plane, then just use the Residue Theorem.
Finish it![Smile :) :)](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Have a go at this mateok I will join. Can someone repost the ones that havnt been done please so i can see whats going on![]()
then consider the contour integral:
where the contour is the half-disc in the upper half plane, then just use the Residue Theorem.
Finish it