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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/01.02.21.0014.01









  


  










Input Form





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