Integration of cosh ( bessel function )

[chaosoul]

Hi,

I am working on the derivation of an equation on electrokinetic flow in microfluidic.

I am stuck at a point that need me to do an integration in the form of

r * cosh (I_o(r))

where r = variable to be integrated
I₀ = zero order modified bessel function of the first kind

Is there any standard solution for this type of integration?

Thank a lot in advance for any advice provided.

 

[lurflurf]

I do not believe that can be simplified, integral of composite functions usually cannot.