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Sin




Mathematica Notation

Traditional Notation









Elementary Functions > Sin[z] > Integration > Definite integration > For the direct function itself





http://functions.wolfram.com/01.06.21.1612.01









  


  








Input Form





Integrate[(Sin[x]/x)^n, {x, 0, Infinity}] == (2^(1 - 2 n) Sqrt[Pi] Gamma[(1/4) (3 - (-1)^n - 2 n)] Sum[((-1)^(j + Floor[n/2]) (-2 j + n)^(-1 + n) n!)/(j! (-j + n)!), {j, 0, Floor[(1/2) (-1 + n)]}])/Gamma[(1/4) (1 - (-1)^n + 2 n)] /; 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)





2002-12-18