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Sinh




Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[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 ep zr sinh(b zr)sinh(c zr)





http://functions.wolfram.com/01.19.21.2186.01









  


  








Input Form





Integrate[E^(p Sqrt[z]) Sinh[b Sqrt[z]] Sinh[c Sqrt[z]], z] == E^(p Sqrt[z]) (-E^((-b) Sqrt[z]) + E^(b Sqrt[z])) (-E^((-c) Sqrt[z]) + E^(c Sqrt[z])) ((-(1/(b + c - p)^2) + (E^(2 b Sqrt[z]) (1 - (b - c + p) Sqrt[z]))/ (b - c + p)^2 + E^(2 c Sqrt[z]) (1/(-b + c + p)^2 + (E^(2 b Sqrt[z]) (-1 + (b + c + p) Sqrt[z]))/(b + c + p)^2 - Sqrt[z]/(-b + c + p)) - Sqrt[z]/(b + c - p))/ (2 (-1 + E^(2 b Sqrt[z])) (-1 + E^(2 c Sqrt[z]))))








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