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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Involving zalpha-1 eb z cosh(c z)





http://functions.wolfram.com/01.20.21.0300.01









  


  








Input Form





Integrate[(1/z^5) E^(b z) Cosh[c z], z] == (1/48) (-((E^((b - c) z) (6 + 2 (b - c) z + (b - c)^2 z^2 + (b - c)^3 z^3))/ z^4) - (E^((b + c) z) (6 + 2 (b + c) z + (b + c)^2 z^2 + (b + c)^3 z^3))/ z^4 + (b - c)^4 ExpIntegralEi[(b - c) z] + (b + c)^4 ExpIntegralEi[(b + c) 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