Help with an integration problem

[vix_cse]

hi:

I am faced with an integration problem and can't seem to get even Maple/Mathematica to solve it. Would really appreciate if somebody can help me here. An approximate solution will also help.

$$\int_{-R}^{R}{cos(2\pi\nu x}) e^{-2\mu{\sqrt{R^2 - x^2}}}dx$$

thanks a lot for your time.

 

[topsquark]

hi:

I am faced with an integration problem and can't seem to get even Maple/Mathematica to solve it. Would really appreciate if somebody can help me here. An approximate solution will also help.

$$\int_{-R}^{R}{cos(2\pi\nu x}) e^{-2\mu{\sqrt{R^2 - x^2}}}dx$$

thanks a lot for your time.

Just off the cuff I would recommend a complex integration approach. At least if R approaches infinity that ought to work nicely.

-Dan