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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-1ep zsinh(c z)cosh(a z+b)





http://functions.wolfram.com/01.20.21.1928.01









  


  








Input Form





Integrate[z^(\[Alpha] - 1) E^(p z) Sinh[c z] Cosh[b + a z], z] == ((1/4) z^\[Alpha] (-ExpIntegralE[1 - \[Alpha], (a - c - p) z] + ExpIntegralE[1 - \[Alpha], (a + c - p) z] + E^(2 b) (ExpIntegralE[1 - \[Alpha], (-(a - c + p)) z] - ExpIntegralE[1 - \[Alpha], (-(a + c + p)) z])))/E^b








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