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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

I

_{0}= zero order modified bessel function of the first kind

Is there any standard solution for this type of integration?

Thank alot in advance for any advice provided.