How Do I Integrate Nested Trigonometric Functions?

[Allday]

How do I go about integrating

sin[y*sin(x)]*sin(x) wrt x from -pi to pi,

I've got that its an even function so I can change the limits to 0 to pi and double it, but I can't find the analytic answer. By parts? substitution? although for substitution I assume there needs to be a cos function somewhere. Any ideas?

Thanks

 

[HallsofIvy]

So y is a constant here?

Do you have any reason to think that there IS an elementary anti-derivative? (Most functions do not.)

 

[Allday]

Actually, I have no reason to believe it is doable. It came up in a proof I was working on involving some bessel function. I was just wondering if their was a standard method for nested trig functions.

Thanks for your time