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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-1 eb zr+e sinh(a zr+q) cosh(c zr+g)





http://functions.wolfram.com/01.20.21.1944.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) E^(b z^r + e) Sinh[a z^r + q] Cosh[c z^r + g], z] == (-((I z^\[Alpha])/(4 r))) ((E^(e + g - (I Pi)/2 + q) Gamma[\[Alpha]/r, (-a - b - c) z^r])/ ((-a - b - c) z^r)^(\[Alpha]/r) + (E^(e + g + (I Pi)/2 - q) Gamma[\[Alpha]/r, (a - b - c) z^r])/ ((a - b - c) z^r)^(\[Alpha]/r) + (E^(e - g - (I Pi)/2 + q) Gamma[\[Alpha]/r, (-a - b + c) z^r])/ ((-a - b + c) z^r)^(\[Alpha]/r) + (E^(e - g + (I Pi)/2 - q) Gamma[\[Alpha]/r, (a - b + c) z^r])/ ((a - b + c) z^r)^(\[Alpha]/r))










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