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For $a,b,c\in\mathbb N$ are they any procedures how to calculate the following indefinite integral? $$\int \sqrt{\frac{x^a}{(x+b)^c}} dx$$

it is also possible to assume that $a \lt c$ but it would be great if it works more general.

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    The general solution requires the Gauss Hypergeometric Function; I don't believe that will change for $a. Wolfram gives this solution: http://www.wolframalpha.com/input/?i=sqrt%28x%5Ea%2F%28x%2Bb%29%5Ec%292012-05-28

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