Can this integral be solved analitically? - If so how?

Question

(a*Sqrt[1-0.25* (Cos[bx]+1)^2]) /(v-0.5*a* (x+(1/b)* Sin[bx]))

If you have any idea how to solve this please let me know It has been some time that I was learning this in school, so please be specific.

P.S. I hope you can read the aukward input.

Thanks

oops yes I forgot ta add dx

Answer 1

I placed the above in wolfram's integrals.com and it was unable to answer it analytically. So the outlook is grim. I am assuming that you are integrating with respect to x.

Answer 2

Don't reckon so,(though admittedly it's not too clear)
If this is necessary for practical purposes try a Taylor series expansion and upon adding the limits see whether it converges.

Alternatively, if the limits are from 0 to infinity or -inf to +inf a polar integral might help(though I don't guarantee it)