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while attempting to solve a problem, I came up with the following integral:

[tex]\int_0^{2\pi}e^{i\left( u\cos(x)+v\sin(x) \right)}dx[/tex]

where u,v are two real constants.

I don't know how to solve this definite integral and I am wondering if this formula is already known, and if it pops up in other contexts.

Thanks.

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# Is this a known function ?

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