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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic, exponential and a power functions > Involving sinh, exp and power > Involving zalpha-1 eb zr+e sinh(a zr+q) cosh(c zr+g)





http://functions.wolfram.com/01.20.21.1946.01









  


  








Input Form





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