If 'int' is unable to integrate your function, you may have to resign yourself to using numerical integration for which you would have to supply actual values for the parameters gamma2 and s. Of course this is less convenient, but it may well be the only possible way you can proceed.
As an undergraduate student in calculus I learned the hard way that the formulas we were given to solve integrals covered only a small fraction of all the possible integrands we might think up. A friend of mine and I once devoted several weeks trying to integrate x^x but finally gave up on it. The truth is that in most cases these integrals are functions that have never been studied by mathematicians as yet because they are so numerous and diverse in nature and cannot be expressed in terms of the known elementary functions.