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**phycdude** i am trying to express the following in form of a gamma integral but so far i have been unsuccessful:

$\displaystyle - \int_0^1 x^k ln(x) $

some of the substitutions i have tried are: $\displaystyle x = \frac{1}{t} $, $\displaystyle =t $, $\displaystyle e^{-t} $, $\displaystyle = log(\frac{1}{t}) $ , $\displaystyle = e^{-\frac{1}{t}} $ and even $\displaystyle x^k = t $ , any pointer would be appreciated.

i am tring to prove the following result:

$\displaystyle -\int_0^1 x^k ln(x) = \frac{1}{(k+1)^2} $