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Evaluating $\int_0^a \frac{x^{b}+x^{c}}{(1+x)^{b+c+2}}$

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Let $0 $\int_0^a \frac{x^{b}+x^{c}}{(1+x)^{b+c+2}}$$

How to evaluate in terms of $a$,$b$ and $c$?

definite-integrals
asked 2012-05-14
user id:28593
165
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  • 6
    Without orders please – 2012-05-14
  • 0
    can't we take b and c arbitrary? – 2012-05-14
  • 0
    Maple evaluates this in terms of hypergeometric functions. @dato: without the assumption that $b$ is a positive integer, Maple's output has factors like $\csc(\pi b)$ in it. – 2012-05-14
  • 0
    Great necro-edit... /s – 2013-07-21

2 Answers 2

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