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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function and a power function > Involving products of the direct function and a power function > Involving products of two direct functions and a power function > Involving zalpha-1 cosh(b zr+e) cosh(c zr+g)





http://functions.wolfram.com/01.20.21.2531.01









  


  








Input Form





Integrate[z^n Cosh[b Sqrt[z] + e] Cosh[c Sqrt[z] + g], z] == (-(1/2)) ((E^(e + g) Gamma[2 (1 + n), (-b - c) Sqrt[z]])/ (-b - c)^(2 (1 + n)) + (E^(-e + g) Gamma[2 (1 + n), (b - c) Sqrt[z]])/ (b - c)^(2 (1 + n)) + (E^(e - g) Gamma[2 (1 + n), (-b + c) Sqrt[z]])/ (-b + c)^(2 (1 + n)) + (E^(-e - g) Gamma[2 (1 + n), (b + c) Sqrt[z]])/ (b + c)^(2 (1 + 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