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Please help me in solving integral

$\int_0^1 y^{(1 + b)} \left(\frac{c + y}{1 + c y}\right)^b dy$, where $(0, $(0

I want the final solution in a simplified form not in terms of hypergeometric forms like Appell $F_1$ and $_2F_1$. Approximate solution. will also work.

Thanks

2 Answers 2