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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function and exponential function > Involving products of the direct function and exponential function > Involving products of two direct functions and exponential function > Involving eb zr+e cosh(a zr+q) cosh(c zr+g)





http://functions.wolfram.com/01.20.21.2793.01









  


  








Input Form





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








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