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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function and a power function > Involving products of the direct function and a power function > Involving products of several direct functions and a power function > Involving zalpha-1 cosh(a z) cosh(b z) cosh(c z)





http://functions.wolfram.com/01.20.21.2554.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) Cosh[a z] Cosh[b z] Cosh[c z], z] == (1/8) z^\[Alpha] ((-((-(a + b - c)) z)^(-\[Alpha])) Gamma[\[Alpha], (-(a + b - c)) z] - Gamma[\[Alpha], (a + b - c) z]/ ((a + b - c) z)^\[Alpha] - Gamma[\[Alpha], (-(a - b + c)) z]/ ((-(a - b + c)) z)^\[Alpha] - Gamma[\[Alpha], (a - b + c) z]/ ((a - b + c) z)^\[Alpha] - Gamma[\[Alpha], (-(-a + b + c)) z]/ ((-(-a + b + c)) z)^\[Alpha] - Gamma[\[Alpha], (-a + b + c) z]/ ((-a + b + c) z)^\[Alpha] - Gamma[\[Alpha], (-(a + b + c)) z]/ ((-(a + b + c)) z)^\[Alpha] - Gamma[\[Alpha], (a + b + c) z]/ ((a + b + c) z)^\[Alpha])










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