Integrating sin(x) exp(sin(x))

[james7henderso]

Hello Physics Forum,

I am trying to find an analytic solution to an equation of the form ∫sin(x/a) exp(b sin(x/a)) dx. I have tried integration by parts and all the usual tricks but can't seem to get anywhere

Thanks in advance for your help

James

 

[JJacquelin]

You can express the undefined integral on the form of an infinite series, but not on a closed form with the elementary and current special functions.