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variants of this functions
Log






Mathematica Notation

Traditional Notation









Elementary Functions > Log[z] > Integration > Definite integration > Involving the direct function





http://functions.wolfram.com/01.04.21.0043.01









  


  










Input Form





Integrate[Log[t (1 - t)]^n/(1 - t), {t, 0, 1/2}] == (-(2^n/(n + 1))) Log[1/2]^(n + 1) + (1/2) Limit[D[(1/p) (Gamma[1 + p]^2/Gamma[1 + 2 p] - 1), {p, n}], p -> 0] /; Element[n, Integers] && n > 0










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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