Integration of following integral

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Please help to solve the following integral $\int_{0}^{\infty}e^{-\theta x}(1-e^{-\theta x})^{c-1}[-\log(1-(1-e^{-\theta x})^{c-1})]^{\alpha-1}[1-(1-e^{-\theta x})^c]^{\frac{1}{\beta}-1}dx$. Hints on the method of approach is highly appreciated.