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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Integration > Definite integration > Involving the direct function





http://functions.wolfram.com/01.02.21.0017.01









  


  








Input Form





Integrate[1/(Sqrt[1 - t^2] Sqrt[1 - m t^2]), {t, 0, Infinity}] == EllipticK[m] - (I/Sqrt[-m]) EllipticK[1/m] + (Sqrt[m]/Sqrt[-m]) (1 - Sqrt[(m - 1)/m] Sqrt[m/(m - 1)]) EllipticK[1 - m]








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)





2007-05-02