Very complicated integral

I'm looking for a solution to the following integral:int (1/sqrt[1 - x^2 + a (x^6 - x^12)]) dxwhere a is a parameter.Could you help me to find a solution? please!

10/26/13

Could you help me to find a solution for this integral?

int {1/(x^2 Sqrt[1 - b^2/x^2 + (k/E) (exp[-2 a (x - c)] - 2 exp[-a (x - c)])])} dx   a,b,c,E,k are parameters

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