Register to reply

Just an integral...

by botee
Tags: correlation, fourier, integral
Share this thread:
Dec20-11, 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!
Phys.Org News Partner Science news on
Mysterious source of ozone-depleting chemical baffles NASA
Water leads to chemical that gunks up biofuels production
How lizards regenerate their tails: Researchers discover genetic 'recipe'

Register to reply

Related Discussions
Integral equation with a derivative of the function inside the integral Calculus & Beyond Homework 5
Rewrite the integral as an equivalent iterated integral in the order Calculus & Beyond Homework 5
Using polar co-ord. to change double integral into single integral involving only r. Calculus & Beyond Homework 5
Is the ordinary integral a special case of the line integral? Calculus 3
Volume integral to spherical coords to contour integral Calculus & Beyond Homework 4