
#1
Dec2011, 11:45 AM

P: 12

Hi everyone! Could someone help me with evaluating the following integral?
[itex]\int_{2 \pi /L}^{\pi/l_0} \int_{2 \pi /L}^{\pi/l_0} \frac{\cos(k_x \Delta x)}{k_x^2 + k_y^2} dk_x dk_y [/itex] I have a good reason to believe that it will end up with some [itex] \frac{1}{2} \ln (\frac{L}{\Delta x})[/itex] though this might just be some approximation of it, since [itex] l_0 \ll L, \Delta x \ll L[/itex] . Any help would be appreciated! Thank you! 


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