How can I compute definite integral of the following function?

$\int_{x(0)}^{0} \frac{dx}{k_2\,\sin x + k_1\frac{\cos x - 1}{\sin 2x}}$

$k_1$ and $k_2$ are positive constants.

At this point, I know that the function is odd. How should I approach the solution? Any help would be highly appreciated.


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